NoReGeo / geom_transformation /reflection /reflection_tasks.jsonl
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{"qid": 1000, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [5, -5]}, "answer": {"point": [5, 5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(5, -5) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01000_reflection.png", "im_dots_path": "/images/task_01000_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [5, 5]}, "choices": null, "image_choices": null}
{"qid": 1001, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [6, -7]}, "answer": {"point": [-6, -7]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(6, -7) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01001_reflection.png", "im_dots_path": "/images/task_01001_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-6, -7]}, "choices": null, "image_choices": null}
{"qid": 1002, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-4, -1]}, "answer": {"point": [-4, 1]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-4, -1) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01002_reflection.png", "im_dots_path": "/images/task_01002_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-4, 1]}, "choices": null, "image_choices": null}
{"qid": 1003, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [10, 1]}, "answer": {"point": [10, -1]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(10, 1) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01003_reflection.png", "im_dots_path": "/images/task_01003_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [10, -1]}, "choices": null, "image_choices": null}
{"qid": 1004, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-6, -4]}, "answer": {"point": [6, -4]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-6, -4) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01004_reflection.png", "im_dots_path": "/images/task_01004_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [6, -4]}, "choices": null, "image_choices": null}
{"qid": 1005, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-1, -8]}, "answer": {"point": [1, -8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-1, -8) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01005_reflection.png", "im_dots_path": "/images/task_01005_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [1, -8]}, "choices": null, "image_choices": null}
{"qid": 1006, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [1, -5]}, "answer": {"point": [1, 5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(1, -5) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01006_reflection.png", "im_dots_path": "/images/task_01006_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [1, 5]}, "choices": null, "image_choices": null}
{"qid": 1007, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [4, 9]}, "answer": {"point": [4, -9]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(4, 9) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01007_reflection.png", "im_dots_path": "/images/task_01007_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [4, -9]}, "choices": null, "image_choices": null}
{"qid": 1008, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [1, 6]}, "answer": {"point": [-1, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(1, 6) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01008_reflection.png", "im_dots_path": "/images/task_01008_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-1, 6]}, "choices": null, "image_choices": null}
{"qid": 1009, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-3, 4]}, "answer": {"point": [3, 4]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-3, 4) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01009_reflection.png", "im_dots_path": "/images/task_01009_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [3, 4]}, "choices": null, "image_choices": null}
{"qid": 1010, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [2, -5]}, "answer": {"point": [-2, -5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(2, -5) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01010_reflection.png", "im_dots_path": "/images/task_01010_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-2, -5]}, "choices": null, "image_choices": null}
{"qid": 1011, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-4, 8]}, "answer": {"point": [-4, -8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-4, 8) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01011_reflection.png", "im_dots_path": "/images/task_01011_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-4, -8]}, "choices": null, "image_choices": null}
{"qid": 1012, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [10, -7]}, "answer": {"point": [10, 7]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(10, -7) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01012_reflection.png", "im_dots_path": "/images/task_01012_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [10, 7]}, "choices": null, "image_choices": null}
{"qid": 1013, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [8, -3]}, "answer": {"point": [8, 3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(8, -3) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01013_reflection.png", "im_dots_path": "/images/task_01013_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [8, 3]}, "choices": null, "image_choices": null}
{"qid": 1014, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [7, -5]}, "answer": {"point": [7, 5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(7, -5) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01014_reflection.png", "im_dots_path": "/images/task_01014_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [7, 5]}, "choices": null, "image_choices": null}
{"qid": 1015, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [10, 6]}, "answer": {"point": [10, -6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(10, 6) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01015_reflection.png", "im_dots_path": "/images/task_01015_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [10, -6]}, "choices": null, "image_choices": null}
{"qid": 1016, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [2, 5]}, "answer": {"point": [2, -5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(2, 5) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01016_reflection.png", "im_dots_path": "/images/task_01016_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [2, -5]}, "choices": null, "image_choices": null}
{"qid": 1017, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [3, 2]}, "answer": {"point": [-3, 2]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(3, 2) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01017_reflection.png", "im_dots_path": "/images/task_01017_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-3, 2]}, "choices": null, "image_choices": null}
{"qid": 1018, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-4, -5]}, "answer": {"point": [4, -5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-4, -5) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01018_reflection.png", "im_dots_path": "/images/task_01018_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [4, -5]}, "choices": null, "image_choices": null}
{"qid": 1019, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [9, 6]}, "answer": {"point": [-9, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(9, 6) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01019_reflection.png", "im_dots_path": "/images/task_01019_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-9, 6]}, "choices": null, "image_choices": null}
{"qid": 1020, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [6, -10]}, "answer": {"point": [6, 10]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(6, -10) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01020_reflection.png", "im_dots_path": "/images/task_01020_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [6, 10]}, "choices": null, "image_choices": null}
{"qid": 1021, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [8, -10]}, "answer": {"point": [8, 10]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(8, -10) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01021_reflection.png", "im_dots_path": "/images/task_01021_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [8, 10]}, "choices": null, "image_choices": null}
{"qid": 1022, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-4, -6]}, "answer": {"point": [-4, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-4, -6) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01022_reflection.png", "im_dots_path": "/images/task_01022_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-4, 6]}, "choices": null, "image_choices": null}
{"qid": 1023, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-9, 10]}, "answer": {"point": [9, 10]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-9, 10) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01023_reflection.png", "im_dots_path": "/images/task_01023_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [9, 10]}, "choices": null, "image_choices": null}
{"qid": 1024, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-8, -6]}, "answer": {"point": [-8, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-8, -6) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01024_reflection.png", "im_dots_path": "/images/task_01024_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-8, 6]}, "choices": null, "image_choices": null}
{"qid": 1025, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [0, -9]}, "answer": {"point": [0, 9]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(0, -9) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01025_reflection.png", "im_dots_path": "/images/task_01025_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [0, 9]}, "choices": null, "image_choices": null}
{"qid": 1026, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [7, 1]}, "answer": {"point": [-7, 1]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(7, 1) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01026_reflection.png", "im_dots_path": "/images/task_01026_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-7, 1]}, "choices": null, "image_choices": null}
{"qid": 1027, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-3, -10]}, "answer": {"point": [-3, 10]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-3, -10) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01027_reflection.png", "im_dots_path": "/images/task_01027_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-3, 10]}, "choices": null, "image_choices": null}
{"qid": 1028, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-1, -7]}, "answer": {"point": [1, -7]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-1, -7) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01028_reflection.png", "im_dots_path": "/images/task_01028_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [1, -7]}, "choices": null, "image_choices": null}
{"qid": 1029, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [1, 7]}, "answer": {"point": [-1, 7]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(1, 7) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01029_reflection.png", "im_dots_path": "/images/task_01029_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-1, 7]}, "choices": null, "image_choices": null}
{"qid": 1030, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-1, -7]}, "answer": {"point": [1, -7]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-1, -7) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01030_reflection.png", "im_dots_path": "/images/task_01030_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [1, -7]}, "choices": null, "image_choices": null}
{"qid": 1031, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-10, -3]}, "answer": {"point": [10, -3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-10, -3) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01031_reflection.png", "im_dots_path": "/images/task_01031_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [10, -3]}, "choices": null, "image_choices": null}
{"qid": 1032, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [5, 2]}, "answer": {"point": [5, -2]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(5, 2) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01032_reflection.png", "im_dots_path": "/images/task_01032_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [5, -2]}, "choices": null, "image_choices": null}
{"qid": 1033, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [6, -4]}, "answer": {"point": [-6, -4]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(6, -4) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01033_reflection.png", "im_dots_path": "/images/task_01033_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-6, -4]}, "choices": null, "image_choices": null}
{"qid": 1034, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [9, 3]}, "answer": {"point": [9, -3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(9, 3) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01034_reflection.png", "im_dots_path": "/images/task_01034_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [9, -3]}, "choices": null, "image_choices": null}
{"qid": 1035, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-5, 6]}, "answer": {"point": [5, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-5, 6) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01035_reflection.png", "im_dots_path": "/images/task_01035_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [5, 6]}, "choices": null, "image_choices": null}
{"qid": 1036, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [4, -5]}, "answer": {"point": [4, 5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(4, -5) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01036_reflection.png", "im_dots_path": "/images/task_01036_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [4, 5]}, "choices": null, "image_choices": null}
{"qid": 1037, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-5, -6]}, "answer": {"point": [-5, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-5, -6) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01037_reflection.png", "im_dots_path": "/images/task_01037_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-5, 6]}, "choices": null, "image_choices": null}
{"qid": 1038, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [8, 3]}, "answer": {"point": [8, -3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(8, 3) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01038_reflection.png", "im_dots_path": "/images/task_01038_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [8, -3]}, "choices": null, "image_choices": null}
{"qid": 1039, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [3, -8]}, "answer": {"point": [-3, -8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(3, -8) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01039_reflection.png", "im_dots_path": "/images/task_01039_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-3, -8]}, "choices": null, "image_choices": null}
{"qid": 1040, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [3, 10]}, "answer": {"point": [3, -10]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(3, 10) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01040_reflection.png", "im_dots_path": "/images/task_01040_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [3, -10]}, "choices": null, "image_choices": null}
{"qid": 1041, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [6, -2]}, "answer": {"point": [6, 2]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(6, -2) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01041_reflection.png", "im_dots_path": "/images/task_01041_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [6, 2]}, "choices": null, "image_choices": null}
{"qid": 1042, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-8, 4]}, "answer": {"point": [-8, -4]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-8, 4) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01042_reflection.png", "im_dots_path": "/images/task_01042_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-8, -4]}, "choices": null, "image_choices": null}
{"qid": 1043, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-2, -8]}, "answer": {"point": [2, -8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-2, -8) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01043_reflection.png", "im_dots_path": "/images/task_01043_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [2, -8]}, "choices": null, "image_choices": null}
{"qid": 1044, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [2, -3]}, "answer": {"point": [2, 3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(2, -3) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01044_reflection.png", "im_dots_path": "/images/task_01044_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [2, 3]}, "choices": null, "image_choices": null}
{"qid": 1045, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-5, -10]}, "answer": {"point": [5, -10]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-5, -10) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01045_reflection.png", "im_dots_path": "/images/task_01045_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [5, -10]}, "choices": null, "image_choices": null}
{"qid": 1046, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [5, -10]}, "answer": {"point": [5, 10]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(5, -10) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01046_reflection.png", "im_dots_path": "/images/task_01046_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [5, 10]}, "choices": null, "image_choices": null}
{"qid": 1047, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [10, -9]}, "answer": {"point": [10, 9]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(10, -9) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01047_reflection.png", "im_dots_path": "/images/task_01047_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [10, 9]}, "choices": null, "image_choices": null}
{"qid": 1048, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [8, 5]}, "answer": {"point": [8, -5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(8, 5) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01048_reflection.png", "im_dots_path": "/images/task_01048_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [8, -5]}, "choices": null, "image_choices": null}
{"qid": 1049, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-9, -7]}, "answer": {"point": [-9, 7]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-9, -7) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01049_reflection.png", "im_dots_path": "/images/task_01049_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-9, 7]}, "choices": null, "image_choices": null}
{"qid": 1050, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-6, 8]}, "answer": {"point": [6, 8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-6, 8) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01050_reflection.png", "im_dots_path": "/images/task_01050_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [6, 8]}, "choices": null, "image_choices": null}
{"qid": 1051, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [6, -9]}, "answer": {"point": [6, 9]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(6, -9) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01051_reflection.png", "im_dots_path": "/images/task_01051_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [6, 9]}, "choices": null, "image_choices": null}
{"qid": 1052, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [6, 8]}, "answer": {"point": [6, -8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(6, 8) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01052_reflection.png", "im_dots_path": "/images/task_01052_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [6, -8]}, "choices": null, "image_choices": null}
{"qid": 1053, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-3, -4]}, "answer": {"point": [-3, 4]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-3, -4) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01053_reflection.png", "im_dots_path": "/images/task_01053_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-3, 4]}, "choices": null, "image_choices": null}
{"qid": 1054, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [2, 8]}, "answer": {"point": [2, -8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(2, 8) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01054_reflection.png", "im_dots_path": "/images/task_01054_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [2, -8]}, "choices": null, "image_choices": null}
{"qid": 1055, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-3, -1]}, "answer": {"point": [-3, 1]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-3, -1) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01055_reflection.png", "im_dots_path": "/images/task_01055_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-3, 1]}, "choices": null, "image_choices": null}
{"qid": 1056, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-1, -5]}, "answer": {"point": [1, -5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-1, -5) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01056_reflection.png", "im_dots_path": "/images/task_01056_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [1, -5]}, "choices": null, "image_choices": null}
{"qid": 1057, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-3, 3]}, "answer": {"point": [-3, -3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-3, 3) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01057_reflection.png", "im_dots_path": "/images/task_01057_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-3, -3]}, "choices": null, "image_choices": null}
{"qid": 1058, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [1, 6]}, "answer": {"point": [1, -6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(1, 6) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01058_reflection.png", "im_dots_path": "/images/task_01058_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [1, -6]}, "choices": null, "image_choices": null}
{"qid": 1059, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [10, 10]}, "answer": {"point": [10, -10]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(10, 10) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01059_reflection.png", "im_dots_path": "/images/task_01059_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [10, -10]}, "choices": null, "image_choices": null}
{"qid": 1060, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [7, 3]}, "answer": {"point": [7, -3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(7, 3) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01060_reflection.png", "im_dots_path": "/images/task_01060_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [7, -3]}, "choices": null, "image_choices": null}
{"qid": 1061, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-10, -3]}, "answer": {"point": [-10, 3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-10, -3) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01061_reflection.png", "im_dots_path": "/images/task_01061_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-10, 3]}, "choices": null, "image_choices": null}
{"qid": 1062, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [10, -8]}, "answer": {"point": [10, 8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(10, -8) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01062_reflection.png", "im_dots_path": "/images/task_01062_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [10, 8]}, "choices": null, "image_choices": null}
{"qid": 1063, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-10, -7]}, "answer": {"point": [-10, 7]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-10, -7) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01063_reflection.png", "im_dots_path": "/images/task_01063_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-10, 7]}, "choices": null, "image_choices": null}
{"qid": 1064, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [9, -8]}, "answer": {"point": [-9, -8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(9, -8) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01064_reflection.png", "im_dots_path": "/images/task_01064_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-9, -8]}, "choices": null, "image_choices": null}
{"qid": 1065, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-2, -4]}, "answer": {"point": [-2, 4]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-2, -4) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01065_reflection.png", "im_dots_path": "/images/task_01065_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-2, 4]}, "choices": null, "image_choices": null}
{"qid": 1066, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [2, 6]}, "answer": {"point": [-2, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(2, 6) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01066_reflection.png", "im_dots_path": "/images/task_01066_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-2, 6]}, "choices": null, "image_choices": null}
{"qid": 1067, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [6, -6]}, "answer": {"point": [6, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(6, -6) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01067_reflection.png", "im_dots_path": "/images/task_01067_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [6, 6]}, "choices": null, "image_choices": null}
{"qid": 1068, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-6, -5]}, "answer": {"point": [6, -5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-6, -5) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01068_reflection.png", "im_dots_path": "/images/task_01068_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [6, -5]}, "choices": null, "image_choices": null}
{"qid": 1069, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-10, 4]}, "answer": {"point": [-10, -4]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-10, 4) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01069_reflection.png", "im_dots_path": "/images/task_01069_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-10, -4]}, "choices": null, "image_choices": null}
{"qid": 1070, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [10, -10]}, "answer": {"point": [10, 10]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(10, -10) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01070_reflection.png", "im_dots_path": "/images/task_01070_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [10, 10]}, "choices": null, "image_choices": null}
{"qid": 1071, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [4, 5]}, "answer": {"point": [-4, 5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(4, 5) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01071_reflection.png", "im_dots_path": "/images/task_01071_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-4, 5]}, "choices": null, "image_choices": null}
{"qid": 1072, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-7, -7]}, "answer": {"point": [-7, 7]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-7, -7) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01072_reflection.png", "im_dots_path": "/images/task_01072_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-7, 7]}, "choices": null, "image_choices": null}
{"qid": 1073, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [9, 6]}, "answer": {"point": [9, -6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(9, 6) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01073_reflection.png", "im_dots_path": "/images/task_01073_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [9, -6]}, "choices": null, "image_choices": null}
{"qid": 1074, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [8, -1]}, "answer": {"point": [-8, -1]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(8, -1) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01074_reflection.png", "im_dots_path": "/images/task_01074_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-8, -1]}, "choices": null, "image_choices": null}
{"qid": 1075, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-9, 2]}, "answer": {"point": [9, 2]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-9, 2) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01075_reflection.png", "im_dots_path": "/images/task_01075_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [9, 2]}, "choices": null, "image_choices": null}
{"qid": 1076, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-10, 9]}, "answer": {"point": [-10, -9]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-10, 9) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01076_reflection.png", "im_dots_path": "/images/task_01076_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-10, -9]}, "choices": null, "image_choices": null}
{"qid": 1077, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [3, 3]}, "answer": {"point": [-3, 3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(3, 3) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01077_reflection.png", "im_dots_path": "/images/task_01077_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-3, 3]}, "choices": null, "image_choices": null}
{"qid": 1078, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-6, 6]}, "answer": {"point": [6, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-6, 6) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01078_reflection.png", "im_dots_path": "/images/task_01078_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [6, 6]}, "choices": null, "image_choices": null}
{"qid": 1079, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-5, -8]}, "answer": {"point": [5, -8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-5, -8) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01079_reflection.png", "im_dots_path": "/images/task_01079_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [5, -8]}, "choices": null, "image_choices": null}
{"qid": 1080, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [8, -3]}, "answer": {"point": [8, 3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(8, -3) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01080_reflection.png", "im_dots_path": "/images/task_01080_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [8, 3]}, "choices": null, "image_choices": null}
{"qid": 1081, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [0, 1]}, "answer": {"point": [0, 1]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(0, 1) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01081_reflection.png", "im_dots_path": "/images/task_01081_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [0, 1]}, "choices": null, "image_choices": null}
{"qid": 1082, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [5, 3]}, "answer": {"point": [-5, 3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(5, 3) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01082_reflection.png", "im_dots_path": "/images/task_01082_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-5, 3]}, "choices": null, "image_choices": null}
{"qid": 1083, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [7, -3]}, "answer": {"point": [-7, -3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(7, -3) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01083_reflection.png", "im_dots_path": "/images/task_01083_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-7, -3]}, "choices": null, "image_choices": null}
{"qid": 1084, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-10, 3]}, "answer": {"point": [10, 3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-10, 3) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01084_reflection.png", "im_dots_path": "/images/task_01084_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [10, 3]}, "choices": null, "image_choices": null}
{"qid": 1085, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [2, -8]}, "answer": {"point": [2, 8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(2, -8) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01085_reflection.png", "im_dots_path": "/images/task_01085_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [2, 8]}, "choices": null, "image_choices": null}
{"qid": 1086, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-5, 5]}, "answer": {"point": [5, 5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-5, 5) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01086_reflection.png", "im_dots_path": "/images/task_01086_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [5, 5]}, "choices": null, "image_choices": null}
{"qid": 1087, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [4, -3]}, "answer": {"point": [-4, -3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(4, -3) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01087_reflection.png", "im_dots_path": "/images/task_01087_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-4, -3]}, "choices": null, "image_choices": null}
{"qid": 1088, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-8, 6]}, "answer": {"point": [8, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-8, 6) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01088_reflection.png", "im_dots_path": "/images/task_01088_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [8, 6]}, "choices": null, "image_choices": null}
{"qid": 1089, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-3, -1]}, "answer": {"point": [-3, 1]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-3, -1) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01089_reflection.png", "im_dots_path": "/images/task_01089_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-3, 1]}, "choices": null, "image_choices": null}
{"qid": 1090, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [4, -7]}, "answer": {"point": [-4, -7]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(4, -7) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01090_reflection.png", "im_dots_path": "/images/task_01090_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-4, -7]}, "choices": null, "image_choices": null}
{"qid": 1091, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-4, -6]}, "answer": {"point": [-4, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-4, -6) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01091_reflection.png", "im_dots_path": "/images/task_01091_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-4, 6]}, "choices": null, "image_choices": null}
{"qid": 1092, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [4, 6]}, "answer": {"point": [4, -6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(4, 6) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01092_reflection.png", "im_dots_path": "/images/task_01092_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [4, -6]}, "choices": null, "image_choices": null}
{"qid": 1093, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [8, 10]}, "answer": {"point": [8, -10]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(8, 10) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01093_reflection.png", "im_dots_path": "/images/task_01093_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [8, -10]}, "choices": null, "image_choices": null}
{"qid": 1094, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [5, 2]}, "answer": {"point": [-5, 2]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(5, 2) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01094_reflection.png", "im_dots_path": "/images/task_01094_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-5, 2]}, "choices": null, "image_choices": null}
{"qid": 1095, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-8, -2]}, "answer": {"point": [8, -2]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-8, -2) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01095_reflection.png", "im_dots_path": "/images/task_01095_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [8, -2]}, "choices": null, "image_choices": null}
{"qid": 1096, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-9, -1]}, "answer": {"point": [-9, 1]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-9, -1) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01096_reflection.png", "im_dots_path": "/images/task_01096_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-9, 1]}, "choices": null, "image_choices": null}
{"qid": 1097, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [10, -7]}, "answer": {"point": [-10, -7]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(10, -7) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01097_reflection.png", "im_dots_path": "/images/task_01097_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-10, -7]}, "choices": null, "image_choices": null}
{"qid": 1098, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-2, -9]}, "answer": {"point": [-2, 9]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-2, -9) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01098_reflection.png", "im_dots_path": "/images/task_01098_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-2, 9]}, "choices": null, "image_choices": null}
{"qid": 1099, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-6, 6]}, "answer": {"point": [6, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-6, 6) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01099_reflection.png", "im_dots_path": "/images/task_01099_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [6, 6]}, "choices": null, "image_choices": null}