NoReGeo / circle_properties /semicircle_triangle /semicircle_triangle_tasks.jsonl
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{"qid": 11000, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, 0], "B": [1, 9], "C": [0, -2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(8, 0), B=(1, 9), C=(0, -2). Inscribed in semicircle?", "im_path": "/images_full/task_11000_semicircle.png", "im_dots_path": "/images/task_11000_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11001, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, 8], "B": [-7, 5], "C": [-4, 2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-4, 8), B=(-7, 5), C=(-4, 2). Inscribed in semicircle?", "im_path": "/images_full/task_11001_semicircle.png", "im_dots_path": "/images/task_11001_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11002, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, -4], "B": [4, 10], "C": [7, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(7, -4), B=(4, 10), C=(7, -6). Inscribed in semicircle?", "im_path": "/images_full/task_11002_semicircle.png", "im_dots_path": "/images/task_11002_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11003, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 4], "B": [2, 5], "C": [-1, 9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(2, 4), B=(2, 5), C=(-1, 9). Inscribed in semicircle?", "im_path": "/images_full/task_11003_semicircle.png", "im_dots_path": "/images/task_11003_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11004, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, -8], "B": [6, -8], "C": [6, -9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(1, -8), B=(6, -8), C=(6, -9). Inscribed in semicircle?", "im_path": "/images_full/task_11004_semicircle.png", "im_dots_path": "/images/task_11004_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11005, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, 6], "B": [8, 1], "C": [-9, -6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(3, 6), B=(8, 1), C=(-9, -6). Inscribed in semicircle?", "im_path": "/images_full/task_11005_semicircle.png", "im_dots_path": "/images/task_11005_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11006, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, -8], "B": [-7, 3], "C": [0, 2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(0, -8), B=(-7, 3), C=(0, 2). Inscribed in semicircle?", "im_path": "/images_full/task_11006_semicircle.png", "im_dots_path": "/images/task_11006_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11007, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, -7], "B": [-8, -3], "C": [-7, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(7, -7), B=(-8, -3), C=(-7, -6). Inscribed in semicircle?", "im_path": "/images_full/task_11007_semicircle.png", "im_dots_path": "/images/task_11007_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11008, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, 10], "B": [-3, -7], "C": [-7, -8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-7, 10), B=(-3, -7), C=(-7, -8). Inscribed in semicircle?", "im_path": "/images_full/task_11008_semicircle.png", "im_dots_path": "/images/task_11008_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11009, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, -3], "B": [7, -9], "C": [-10, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-1, -3), B=(7, -9), C=(-10, -6). Inscribed in semicircle?", "im_path": "/images_full/task_11009_semicircle.png", "im_dots_path": "/images/task_11009_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11010, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, -10], "B": [-8, 4], "C": [-8, -3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-10, -10), B=(-8, 4), C=(-8, -3). Inscribed in semicircle?", "im_path": "/images_full/task_11010_semicircle.png", "im_dots_path": "/images/task_11010_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11011, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, -2], "B": [-7, 7], "C": [10, 6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(2, -2), B=(-7, 7), C=(10, 6). Inscribed in semicircle?", "im_path": "/images_full/task_11011_semicircle.png", "im_dots_path": "/images/task_11011_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11012, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-3, -1], "B": [5, -7], "C": [-6, -8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-3, -1), B=(5, -7), C=(-6, -8). Inscribed in semicircle?", "im_path": "/images_full/task_11012_semicircle.png", "im_dots_path": "/images/task_11012_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11013, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, -6], "B": [-1, -8], "C": [2, 1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-7, -6), B=(-1, -8), C=(2, 1). Inscribed in semicircle?", "im_path": "/images_full/task_11013_semicircle.png", "im_dots_path": "/images/task_11013_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11014, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, 7], "B": [2, -9], "C": [8, -10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-8, 7), B=(2, -9), C=(8, -10). Inscribed in semicircle?", "im_path": "/images_full/task_11014_semicircle.png", "im_dots_path": "/images/task_11014_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11015, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, 3], "B": [5, 9], "C": [4, 1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(8, 3), B=(5, 9), C=(4, 1). Inscribed in semicircle?", "im_path": "/images_full/task_11015_semicircle.png", "im_dots_path": "/images/task_11015_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11016, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 2], "B": [3, 1], "C": [4, 1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(4, 2), B=(3, 1), C=(4, 1). Inscribed in semicircle?", "im_path": "/images_full/task_11016_semicircle.png", "im_dots_path": "/images/task_11016_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11017, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-5, 8], "B": [-5, 8], "C": [8, 7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-5, 8), B=(-5, 8), C=(8, 7). Inscribed in semicircle?", "im_path": "/images_full/task_11017_semicircle.png", "im_dots_path": "/images/task_11017_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11018, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, 10], "B": [-3, 7], "C": [4, -5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(3, 10), B=(-3, 7), C=(4, -5). Inscribed in semicircle?", "im_path": "/images_full/task_11018_semicircle.png", "im_dots_path": "/images/task_11018_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11019, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, 8], "B": [1, 8], "C": [-10, -5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-10, 8), B=(1, 8), C=(-10, -5). Inscribed in semicircle?", "im_path": "/images_full/task_11019_semicircle.png", "im_dots_path": "/images/task_11019_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11020, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, -5], "B": [-1, 8], "C": [-7, 2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(0, -5), B=(-1, 8), C=(-7, 2). Inscribed in semicircle?", "im_path": "/images_full/task_11020_semicircle.png", "im_dots_path": "/images/task_11020_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11021, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, 8], "B": [-3, 8], "C": [-3, -9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(8, 8), B=(-3, 8), C=(-3, -9). Inscribed in semicircle?", "im_path": "/images_full/task_11021_semicircle.png", "im_dots_path": "/images/task_11021_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11022, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, 2], "B": [1, -2], "C": [4, -5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(5, 2), B=(1, -2), C=(4, -5). Inscribed in semicircle?", "im_path": "/images_full/task_11022_semicircle.png", "im_dots_path": "/images/task_11022_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11023, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 10], "B": [9, 1], "C": [0, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(4, 10), B=(9, 1), C=(0, 10). Inscribed in semicircle?", "im_path": "/images_full/task_11023_semicircle.png", "im_dots_path": "/images/task_11023_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11024, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, -1], "B": [7, 2], "C": [3, 6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-4, -1), B=(7, 2), C=(3, 6). Inscribed in semicircle?", "im_path": "/images_full/task_11024_semicircle.png", "im_dots_path": "/images/task_11024_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11025, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, 4], "B": [5, 1], "C": [5, 4]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-2, 4), B=(5, 1), C=(5, 4). Inscribed in semicircle?", "im_path": "/images_full/task_11025_semicircle.png", "im_dots_path": "/images/task_11025_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11026, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, -8], "B": [-9, 10], "C": [5, -3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-7, -8), B=(-9, 10), C=(5, -3). Inscribed in semicircle?", "im_path": "/images_full/task_11026_semicircle.png", "im_dots_path": "/images/task_11026_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11027, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-3, -5], "B": [8, -2], "C": [-9, 5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-3, -5), B=(8, -2), C=(-9, 5). Inscribed in semicircle?", "im_path": "/images_full/task_11027_semicircle.png", "im_dots_path": "/images/task_11027_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11028, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, -9], "B": [-10, -5], "C": [5, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(8, -9), B=(-10, -5), C=(5, -9). Inscribed in semicircle?", "im_path": "/images_full/task_11028_semicircle.png", "im_dots_path": "/images/task_11028_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11029, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, 4], "B": [9, 4], "C": [-10, -3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(1, 4), B=(9, 4), C=(-10, -3). Inscribed in semicircle?", "im_path": "/images_full/task_11029_semicircle.png", "im_dots_path": "/images/task_11029_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11030, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [6, 4], "B": [-8, 9], "C": [6, 9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(6, 4), B=(-8, 9), C=(6, 9). Inscribed in semicircle?", "im_path": "/images_full/task_11030_semicircle.png", "im_dots_path": "/images/task_11030_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11031, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, -2], "B": [-9, -9], "C": [9, 5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(9, -2), B=(-9, -9), C=(9, 5). Inscribed in semicircle?", "im_path": "/images_full/task_11031_semicircle.png", "im_dots_path": "/images/task_11031_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11032, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, -2], "B": [-10, -2], "C": [0, 9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-10, -2), B=(-10, -2), C=(0, 9). Inscribed in semicircle?", "im_path": "/images_full/task_11032_semicircle.png", "im_dots_path": "/images/task_11032_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11033, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, -1], "B": [-6, -3], "C": [-4, 5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(3, -1), B=(-6, -3), C=(-4, 5). Inscribed in semicircle?", "im_path": "/images_full/task_11033_semicircle.png", "im_dots_path": "/images/task_11033_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11034, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, 1], "B": [-5, 9], "C": [-9, 7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(1, 1), B=(-5, 9), C=(-9, 7). Inscribed in semicircle?", "im_path": "/images_full/task_11034_semicircle.png", "im_dots_path": "/images/task_11034_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11035, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, -6], "B": [-8, 1], "C": [9, -6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-8, -6), B=(-8, 1), C=(9, -6). Inscribed in semicircle?", "im_path": "/images_full/task_11035_semicircle.png", "im_dots_path": "/images/task_11035_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11036, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [6, -2], "B": [-3, 7], "C": [-10, 6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(6, -2), B=(-3, 7), C=(-10, 6). Inscribed in semicircle?", "im_path": "/images_full/task_11036_semicircle.png", "im_dots_path": "/images/task_11036_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11037, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 7], "B": [8, 10], "C": [-8, -10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(4, 7), B=(8, 10), C=(-8, -10). Inscribed in semicircle?", "im_path": "/images_full/task_11037_semicircle.png", "im_dots_path": "/images/task_11037_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11038, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, 3], "B": [-4, 0], "C": [3, -2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(3, 3), B=(-4, 0), C=(3, -2). Inscribed in semicircle?", "im_path": "/images_full/task_11038_semicircle.png", "im_dots_path": "/images/task_11038_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11039, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, 1], "B": [6, 8], "C": [3, 8]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(3, 1), B=(6, 8), C=(3, 8). Inscribed in semicircle?", "im_path": "/images_full/task_11039_semicircle.png", "im_dots_path": "/images/task_11039_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11040, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, -5], "B": [-1, 0], "C": [3, -6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-2, -5), B=(-1, 0), C=(3, -6). Inscribed in semicircle?", "im_path": "/images_full/task_11040_semicircle.png", "im_dots_path": "/images/task_11040_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11041, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, 2], "B": [1, -4], "C": [-8, -7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-1, 2), B=(1, -4), C=(-8, -7). Inscribed in semicircle?", "im_path": "/images_full/task_11041_semicircle.png", "im_dots_path": "/images/task_11041_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11042, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, -6], "B": [3, 6], "C": [3, 6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(0, -6), B=(3, 6), C=(3, 6). Inscribed in semicircle?", "im_path": "/images_full/task_11042_semicircle.png", "im_dots_path": "/images/task_11042_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11043, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, -2], "B": [-5, -9], "C": [-1, 8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(4, -2), B=(-5, -9), C=(-1, 8). Inscribed in semicircle?", "im_path": "/images_full/task_11043_semicircle.png", "im_dots_path": "/images/task_11043_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11044, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, 6], "B": [0, 9], "C": [-4, 6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(0, 6), B=(0, 9), C=(-4, 6). Inscribed in semicircle?", "im_path": "/images_full/task_11044_semicircle.png", "im_dots_path": "/images/task_11044_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11045, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, 4], "B": [9, 10], "C": [-1, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-10, 4), B=(9, 10), C=(-1, 10). Inscribed in semicircle?", "im_path": "/images_full/task_11045_semicircle.png", "im_dots_path": "/images/task_11045_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11046, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, 1], "B": [1, -1], "C": [3, 6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-7, 1), B=(1, -1), C=(3, 6). Inscribed in semicircle?", "im_path": "/images_full/task_11046_semicircle.png", "im_dots_path": "/images/task_11046_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11047, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, -6], "B": [-5, -6], "C": [-1, -4]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(0, -6), B=(-5, -6), C=(-1, -4). Inscribed in semicircle?", "im_path": "/images_full/task_11047_semicircle.png", "im_dots_path": "/images/task_11047_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11048, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, -10], "B": [10, -7], "C": [10, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-6, -10), B=(10, -7), C=(10, -6). Inscribed in semicircle?", "im_path": "/images_full/task_11048_semicircle.png", "im_dots_path": "/images/task_11048_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11049, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, -4], "B": [-9, -2], "C": [9, 7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-8, -4), B=(-9, -2), C=(9, 7). Inscribed in semicircle?", "im_path": "/images_full/task_11049_semicircle.png", "im_dots_path": "/images/task_11049_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11050, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, -6], "B": [-4, -2], "C": [-3, -3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-8, -6), B=(-4, -2), C=(-3, -3). Inscribed in semicircle?", "im_path": "/images_full/task_11050_semicircle.png", "im_dots_path": "/images/task_11050_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11051, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, 7], "B": [9, -1], "C": [5, -1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(9, 7), B=(9, -1), C=(5, -1). Inscribed in semicircle?", "im_path": "/images_full/task_11051_semicircle.png", "im_dots_path": "/images/task_11051_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11052, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, 7], "B": [-3, 3], "C": [7, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(9, 7), B=(-3, 3), C=(7, 10). Inscribed in semicircle?", "im_path": "/images_full/task_11052_semicircle.png", "im_dots_path": "/images/task_11052_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11053, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [6, -1], "B": [7, -2], "C": [1, -6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(6, -1), B=(7, -2), C=(1, -6). Inscribed in semicircle?", "im_path": "/images_full/task_11053_semicircle.png", "im_dots_path": "/images/task_11053_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11054, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, -2], "B": [7, 8], "C": [8, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-7, -2), B=(7, 8), C=(8, -9). Inscribed in semicircle?", "im_path": "/images_full/task_11054_semicircle.png", "im_dots_path": "/images/task_11054_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11055, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, -6], "B": [1, -9], "C": [-5, -9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-2, -6), B=(1, -9), C=(-5, -9). Inscribed in semicircle?", "im_path": "/images_full/task_11055_semicircle.png", "im_dots_path": "/images/task_11055_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11056, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, -3], "B": [6, 8], "C": [6, -3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-10, -3), B=(6, 8), C=(6, -3). Inscribed in semicircle?", "im_path": "/images_full/task_11056_semicircle.png", "im_dots_path": "/images/task_11056_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11057, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, 5], "B": [-6, 8], "C": [-6, 4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(8, 5), B=(-6, 8), C=(-6, 4). Inscribed in semicircle?", "im_path": "/images_full/task_11057_semicircle.png", "im_dots_path": "/images/task_11057_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11058, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, 5], "B": [-6, 8], "C": [-3, 5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-6, 5), B=(-6, 8), C=(-3, 5). Inscribed in semicircle?", "im_path": "/images_full/task_11058_semicircle.png", "im_dots_path": "/images/task_11058_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11059, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, 3], "B": [-4, -4], "C": [9, -8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(5, 3), B=(-4, -4), C=(9, -8). Inscribed in semicircle?", "im_path": "/images_full/task_11059_semicircle.png", "im_dots_path": "/images/task_11059_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11060, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, -8], "B": [5, 9], "C": [1, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-4, -8), B=(5, 9), C=(1, -6). Inscribed in semicircle?", "im_path": "/images_full/task_11060_semicircle.png", "im_dots_path": "/images/task_11060_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11061, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-5, -8], "B": [-7, 10], "C": [-6, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-5, -8), B=(-7, 10), C=(-6, -1). Inscribed in semicircle?", "im_path": "/images_full/task_11061_semicircle.png", "im_dots_path": "/images/task_11061_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11062, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, -6], "B": [-6, 3], "C": [8, 1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(7, -6), B=(-6, 3), C=(8, 1). Inscribed in semicircle?", "im_path": "/images_full/task_11062_semicircle.png", "im_dots_path": "/images/task_11062_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11063, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, 0], "B": [-5, -7], "C": [2, -6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-6, 0), B=(-5, -7), C=(2, -6). Inscribed in semicircle?", "im_path": "/images_full/task_11063_semicircle.png", "im_dots_path": "/images/task_11063_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11064, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-3, 8], "B": [-4, -5], "C": [-7, 5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-3, 8), B=(-4, -5), C=(-7, 5). Inscribed in semicircle?", "im_path": "/images_full/task_11064_semicircle.png", "im_dots_path": "/images/task_11064_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11065, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, 1], "B": [-5, 3], "C": [-4, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-7, 1), B=(-5, 3), C=(-4, -1). Inscribed in semicircle?", "im_path": "/images_full/task_11065_semicircle.png", "im_dots_path": "/images/task_11065_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11066, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-3, -10], "B": [-7, 3], "C": [9, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-3, -10), B=(-7, 3), C=(9, -7). Inscribed in semicircle?", "im_path": "/images_full/task_11066_semicircle.png", "im_dots_path": "/images/task_11066_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11067, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, 0], "B": [0, 0], "C": [0, 4]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-10, 0), B=(0, 0), C=(0, 4). Inscribed in semicircle?", "im_path": "/images_full/task_11067_semicircle.png", "im_dots_path": "/images/task_11067_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11068, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, 3], "B": [8, -6], "C": [-1, 3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-1, 3), B=(8, -6), C=(-1, 3). Inscribed in semicircle?", "im_path": "/images_full/task_11068_semicircle.png", "im_dots_path": "/images/task_11068_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11069, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, 9], "B": [-5, -3], "C": [2, -2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-6, 9), B=(-5, -3), C=(2, -2). Inscribed in semicircle?", "im_path": "/images_full/task_11069_semicircle.png", "im_dots_path": "/images/task_11069_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11070, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, 5], "B": [10, -5], "C": [4, -8]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(5, 5), B=(10, -5), C=(4, -8). Inscribed in semicircle?", "im_path": "/images_full/task_11070_semicircle.png", "im_dots_path": "/images/task_11070_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11071, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, -2], "B": [-2, 6], "C": [3, -8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(5, -2), B=(-2, 6), C=(3, -8). Inscribed in semicircle?", "im_path": "/images_full/task_11071_semicircle.png", "im_dots_path": "/images/task_11071_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11072, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, -3], "B": [-6, -5], "C": [4, -3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-6, -3), B=(-6, -5), C=(4, -3). Inscribed in semicircle?", "im_path": "/images_full/task_11072_semicircle.png", "im_dots_path": "/images/task_11072_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11073, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 3], "B": [4, 3], "C": [7, 7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(4, 3), B=(4, 3), C=(7, 7). Inscribed in semicircle?", "im_path": "/images_full/task_11073_semicircle.png", "im_dots_path": "/images/task_11073_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11074, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, 4], "B": [-7, -4], "C": [-2, 4]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-2, 4), B=(-7, -4), C=(-2, 4). Inscribed in semicircle?", "im_path": "/images_full/task_11074_semicircle.png", "im_dots_path": "/images/task_11074_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11075, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, -5], "B": [6, 7], "C": [6, 7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-6, -5), B=(6, 7), C=(6, 7). Inscribed in semicircle?", "im_path": "/images_full/task_11075_semicircle.png", "im_dots_path": "/images/task_11075_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11076, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, 5], "B": [-2, -7], "C": [0, -5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-10, 5), B=(-2, -7), C=(0, -5). Inscribed in semicircle?", "im_path": "/images_full/task_11076_semicircle.png", "im_dots_path": "/images/task_11076_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11077, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, -2], "B": [-5, 10], "C": [-3, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(1, -2), B=(-5, 10), C=(-3, -7). Inscribed in semicircle?", "im_path": "/images_full/task_11077_semicircle.png", "im_dots_path": "/images/task_11077_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11078, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, 9], "B": [9, 2], "C": [6, 4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(1, 9), B=(9, 2), C=(6, 4). Inscribed in semicircle?", "im_path": "/images_full/task_11078_semicircle.png", "im_dots_path": "/images/task_11078_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11079, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [6, 8], "B": [6, 1], "C": [-2, 8]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(6, 8), B=(6, 1), C=(-2, 8). Inscribed in semicircle?", "im_path": "/images_full/task_11079_semicircle.png", "im_dots_path": "/images/task_11079_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11080, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [6, 5], "B": [6, 5], "C": [9, -4]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(6, 5), B=(6, 5), C=(9, -4). Inscribed in semicircle?", "im_path": "/images_full/task_11080_semicircle.png", "im_dots_path": "/images/task_11080_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11081, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, -7], "B": [-6, -4], "C": [-6, -7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(8, -7), B=(-6, -4), C=(-6, -7). Inscribed in semicircle?", "im_path": "/images_full/task_11081_semicircle.png", "im_dots_path": "/images/task_11081_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11082, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, -3], "B": [-4, 4], "C": [8, -10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(5, -3), B=(-4, 4), C=(8, -10). Inscribed in semicircle?", "im_path": "/images_full/task_11082_semicircle.png", "im_dots_path": "/images/task_11082_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11083, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, -10], "B": [-2, -10], "C": [9, -9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(9, -10), B=(-2, -10), C=(9, -9). Inscribed in semicircle?", "im_path": "/images_full/task_11083_semicircle.png", "im_dots_path": "/images/task_11083_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11084, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, -5], "B": [2, 9], "C": [10, 9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(2, -5), B=(2, 9), C=(10, 9). Inscribed in semicircle?", "im_path": "/images_full/task_11084_semicircle.png", "im_dots_path": "/images/task_11084_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11085, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 0], "B": [8, -5], "C": [-8, -10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(2, 0), B=(8, -5), C=(-8, -10). Inscribed in semicircle?", "im_path": "/images_full/task_11085_semicircle.png", "im_dots_path": "/images/task_11085_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11086, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, -6], "B": [-9, 3], "C": [-5, 9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-1, -6), B=(-9, 3), C=(-5, 9). Inscribed in semicircle?", "im_path": "/images_full/task_11086_semicircle.png", "im_dots_path": "/images/task_11086_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11087, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, -6], "B": [5, 5], "C": [1, 1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(4, -6), B=(5, 5), C=(1, 1). Inscribed in semicircle?", "im_path": "/images_full/task_11087_semicircle.png", "im_dots_path": "/images/task_11087_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11088, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, 1], "B": [5, 10], "C": [4, 5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(10, 1), B=(5, 10), C=(4, 5). Inscribed in semicircle?", "im_path": "/images_full/task_11088_semicircle.png", "im_dots_path": "/images/task_11088_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11089, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, 3], "B": [-8, 10], "C": [-5, -4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-2, 3), B=(-8, 10), C=(-5, -4). Inscribed in semicircle?", "im_path": "/images_full/task_11089_semicircle.png", "im_dots_path": "/images/task_11089_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11090, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, -4], "B": [1, 9], "C": [3, -5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(10, -4), B=(1, 9), C=(3, -5). Inscribed in semicircle?", "im_path": "/images_full/task_11090_semicircle.png", "im_dots_path": "/images/task_11090_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11091, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, -5], "B": [-3, -8], "C": [-7, -10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-10, -5), B=(-3, -8), C=(-7, -10). Inscribed in semicircle?", "im_path": "/images_full/task_11091_semicircle.png", "im_dots_path": "/images/task_11091_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11092, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 9], "B": [6, 10], "C": [2, 3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(4, 9), B=(6, 10), C=(2, 3). Inscribed in semicircle?", "im_path": "/images_full/task_11092_semicircle.png", "im_dots_path": "/images/task_11092_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11093, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, 9], "B": [2, 9], "C": [2, 3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(9, 9), B=(2, 9), C=(2, 3). Inscribed in semicircle?", "im_path": "/images_full/task_11093_semicircle.png", "im_dots_path": "/images/task_11093_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11094, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, 0], "B": [-3, 0], "C": [0, -9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(0, 0), B=(-3, 0), C=(0, -9). Inscribed in semicircle?", "im_path": "/images_full/task_11094_semicircle.png", "im_dots_path": "/images/task_11094_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11095, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, 10], "B": [-5, 4], "C": [-6, 5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(1, 10), B=(-5, 4), C=(-6, 5). Inscribed in semicircle?", "im_path": "/images_full/task_11095_semicircle.png", "im_dots_path": "/images/task_11095_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11096, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, -8], "B": [-8, 8], "C": [-5, 1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(9, -8), B=(-8, 8), C=(-5, 1). Inscribed in semicircle?", "im_path": "/images_full/task_11096_semicircle.png", "im_dots_path": "/images/task_11096_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11097, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, 5], "B": [4, 0], "C": [-7, 8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(10, 5), B=(4, 0), C=(-7, 8). Inscribed in semicircle?", "im_path": "/images_full/task_11097_semicircle.png", "im_dots_path": "/images/task_11097_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 11098, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, 3], "B": [10, 2], "C": [1, -6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-7, 3), B=(10, 2), C=(1, -6). Inscribed in semicircle?", "im_path": "/images_full/task_11098_semicircle.png", "im_dots_path": "/images/task_11098_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 11099, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [6, 7], "B": [0, -5], "C": [4, -7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(6, 7), B=(0, -5), C=(4, -7). Inscribed in semicircle?", "im_path": "/images_full/task_11099_semicircle.png", "im_dots_path": "/images/task_11099_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}