qid stringlengths 17 27 | question stringlengths 330 565 | choices imagewidth (px) 2.36k 2.36k | images images listlengths 2 4 | answer stringclasses 4
values | transformations stringclasses 155
values | difficulty_level stringclasses 3
values | question_info stringlengths 3.42k 7.2k | answer_info stringclasses 86
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2steps_easy_all_last_105 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Reduce the size of the hexagon, making it smaller. <shapeB_step_0>
- Shift the hexagon to the left by a significant amount and significantly downward.
After these transformations, which of the following shapes best repre... | A | [['scale', 0.5], ['translate', [-30, -30]]] | easy | {"instance_id": 105, "shape_A": {"name": "circle", "facecolor": [0.5379846683199422, 0.6480325037266158, 0.42537862917188485], "edgecolor": "black", "center": [1.7763568394002506e-16, -1.7097434579227411e-15], "size": [66.063639289599, 66.063639289599]}, "shape_B": {"name": "hexagon", "facecolor": [0.06485487611056151,... | {"easy": "A", "medium": "A", "hard": "B"} | ||
2steps_easy_all_last_115 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Shift the rectangle a little to the left and slightly downward. <shapeB_step_0>
- Rotate the rectangle by 60 degrees counter-clockwise around its center.
After these transformations, which of the following shapes best ... | B | [['translate', [-10, -10]], ['rotate', 60]] | easy | {"instance_id": 115, "shape_A": {"name": "square", "facecolor": [0.08967624114817874, 0.5703500189967354, 0.08214814917255076], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.351615522514766, 30.351615522514766]}, "shape_B": {"name": "rectangle", "facecolor": [0.12890282484046012, 0.14350216399767002, 0.564231... | {"easy": "B", "medium": "B", "hard": "B"} | ||
2steps_easy_all_last_0 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Reduce the size of the circle, making it smaller. <shapeB_step_0>
- Shift the circle to the right by a significant amount.
After these transformations, which of the following shapes best represents the final result?
... | B | [['scale', 0.5], ['translate', [30, 0]]] | easy | {"instance_id": 0, "shape_A": {"name": "pentagon", "facecolor": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079], "edgecolor": "black", "center": [3.552713678800501e-16, 7.105427357601002e-16], "size": [59.73126308469467, 62.805166739594156]}, "shape_B": {"name": "circle", "facecolor": [0.6394267984578837... | {"easy": "B", "medium": "C"} | ||
2steps_easy_all_last_43 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Rotate the hexagon by 60 degrees clockwise around its center. <shapeB_step_0>
- Shift the hexagon a little to the right and slightly downward.
After these transformations, which of the following shapes best represents th... | C | [['rotate', -60], ['translate', [10, -10]]] | easy | {"instance_id": 43, "shape_A": {"name": "square", "facecolor": [0.34895881216715885, 0.3568996768692686, 0.45235580620383364], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.672575199287046, 30.672575199287046]}, "shape_B": {"name": "hexagon", "facecolor": [0.7324402271165815, 0.1958560558205653, 0.20907092241... | {"easy": "C", "medium": "B", "hard": "A"} | ||
2steps_easy_all_last_85 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_0>
- Shift the circle to the right by a significant amount and slightly downward.
After these transformations, which of the following shapes best r... | A | [['rotate', -90], ['translate', [30, -10]]] | easy | {"instance_id": 85, "shape_A": {"name": "hexagon", "facecolor": [0.6296645766745638, 0.3426078547531958, 0.30430066304382597], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [68.94327130306716, 59.70662436845885]}, "shape_B": {"name": "circle", "facecolor": [0.177817235144817... | {"easy": "A", "medium": "A", "hard": "D"} | ||
2steps_easy_all_last_119 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 60 degrees counter-clockwise around its center. <shapeB_step_0>
- Shift the circle to the right by a significant amount and slightly upward.
After these transformations, which of the following shapes ... | C | [['rotate', 60], ['translate', [30, 10]]] | easy | {"instance_id": 119, "shape_A": {"name": "pentagon", "facecolor": [0.3628331336161923, 0.3181537710579265, 0.07237053133625004], "edgecolor": "black", "center": [-3.552713678800501e-16, 1.4210854715202005e-15], "size": [57.45433747497334, 60.4110654735715]}, "shape_B": {"name": "circle", "facecolor": [0.631688431578165... | {"easy": "C", "medium": "D", "hard": "D"} | ||
2steps_easy_all_last_101 |
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Shift the ellipse a little to the right and significantly downward. <shapeB_step_0>
- Shift the ellipse a little to the left.
After these transformations, which of the following shapes best represents the final result?
... | C | [['translate', [10, -30]], ['translate', [-10, 0]]] | easy | {"instance_id": 101, "shape_A": {"name": "rectangle", "facecolor": [0.008981558192268757, 0.9166664011286465, 0.5050242899246621], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.68920971753934, 23.22743674000318]}, "shape_B": {"name": "ellipse", "facecolor": [0.044870105594161824, 0.8026445564168357, 0.4044624... | {"easy": "C", "medium": "A", "hard": "D"} | ||
2steps_easy_all_last_48 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square to the right by a significant amount. <shapeB_step_0>
- Shift the square a little to the right and slightly downward.
After these transformations, which of the following shapes best represents the final r... | D | [['translate', [30, 0]], ['translate', [10, -10]]] | easy | {"instance_id": 48, "shape_A": {"name": "ellipse", "facecolor": [0.5668746151748413, 0.614809201762814, 0.7409945757086595], "edgecolor": "black", "center": [-2.6645352591003756e-16, 3.108624468950438e-16], "size": [33.266598335046034, 23.512351250803153]}, "shape_B": {"name": "square", "facecolor": [0.7283034564351284... | {"easy": "D", "medium": "A", "hard": "A"} | ||
2steps_easy_all_last_12 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square to the left by a significant amount and slightly downward. <shapeB_step_0>
- Flip the square as if there's a mirror along the horizontal line y = 0.
After these transformations, which of the following sha... | D | [['translate', [-30, -10]], ['flip', 'horizontal']] | easy | {"instance_id": 12, "shape_A": {"name": "ellipse", "facecolor": [0.08081146692917374, 0.3326294469165263, 0.9866403726996799], "edgecolor": "black", "center": [-3.108624468950438e-16, -2.220446049250313e-16], "size": [32.147048615045605, 22.14512724300205]}, "shape_B": {"name": "square", "facecolor": [0.150778451095262... | {"easy": "D", "medium": "C", "hard": "C"} | ||
2steps_easy_all_last_45 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon to the right by a significant amount. <shapeB_step_0>
- Shift the hexagon a little to the left and slightly downward.
After these transformations, which of the following shapes best represents the final... | C | [['translate', [30, 0]], ['translate', [-10, -10]]] | easy | {"instance_id": 45, "shape_A": {"name": "ellipse", "facecolor": [0.8712351975048794, 0.027269522743553765, 0.1539918160804219], "edgecolor": "black", "center": [-6.217248937900876e-16, 5.10702591327572e-16], "size": [32.86020752447745, 22.42693061479845]}, "shape_B": {"name": "hexagon", "facecolor": [0.4556287532499388... | {"easy": "C", "medium": "B", "hard": "A"} | ||
2steps_easy_all_last_33 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_0>
- Reduce the size of the circle, making it smaller.
After these transformations, which of the following shapes best represents the final result?... | B | [['rotate', -90], ['scale', 0.5]] | easy | {"instance_id": 33, "shape_A": {"name": "triangle", "facecolor": [0.7326877774334374, 0.5235587475379427, 0.4584195691394879], "edgecolor": "black", "center": [0.0, -5.921189464667501e-16], "size": [66.09472983207253, 32.343887638489065]}, "shape_B": {"name": "circle", "facecolor": [0.7267874043035828, 0.63292002300508... | {"easy": "B", "medium": "B", "hard": "A"} | ||
2steps_easy_all_last_5 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon to the right by a significant amount. <shapeB_step_0>
- Reduce the size of the hexagon, making it smaller.
After these transformations, which of the following shapes best represents the final result?
... | A | [['translate', [30, 0]], ['scale', 0.5]] | easy | {"instance_id": 5, "shape_A": {"name": "ellipse", "facecolor": [0.39390371272860714, 0.7948972283809458, 0.3390852999525653], "edgecolor": "black", "center": [-3.552713678800501e-16, 6.661338147750939e-17], "size": [32.57752866073627, 21.63982923818263]}, "shape_B": {"name": "hexagon", "facecolor": [0.9389485669553754,... | {"easy": "A", "medium": "C"} | ||
2steps_easy_all_last_58 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Reduce the size of the triangle, making it smaller.
After these transformations, which of the following shapes best represents the... | B | [['rotate', 30], ['scale', 0.5]] | easy | {"instance_id": 58, "shape_A": {"name": "square", "facecolor": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.97502196345081, 32.97502196345081]}, "shape_B": {"name": "triangle", "facecolor": [0.25266266881353594, 0.5200834580091733, 0.77017244116... | {"easy": "B", "medium": "A", "hard": "A"} | ||
2steps_easy_all_last_15 |
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:
- Shift the pentagon a little to the right and slightly upward. <shapeB_step_0>
- Reduce the size of the pentagon, making it smaller.
After these transformations, which of the following shapes best represents the final re... | D | [['translate', [10, 10]], ['scale', 0.5]] | easy | {"instance_id": 15, "shape_A": {"name": "square", "facecolor": [0.7036219244347302, 0.9191774211091239, 0.5495926535464359], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.56643343555589, 32.56643343555589]}, "shape_B": {"name": "pentagon", "facecolor": [0.5586307128696588, 0.5031691662538932, 0.33996589442354... | {"easy": "D"} | ||
2steps_easy_all_last_46 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 60 degrees clockwise around its center. <shapeB_step_0>
- Shift the circle a little to the right and significantly downward.
After these transformations, which of the following shapes best represents ... | C | [['rotate', -60], ['translate', [10, -30]]] | easy | {"instance_id": 46, "shape_A": {"name": "rectangle", "facecolor": [0.8957184739058375, 0.4406495499811689, 0.598835708808161], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.37069677274037, 21.922365908439833]}, "shape_B": {"name": "circle", "facecolor": [0.6420732171173018, 0.6269776757333287, 0.0502991730718... | {"easy": "C", "medium": "B", "hard": "D"} | ||
2steps_easy_all_last_72 |
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Shift the ellipse a little to the left and slightly downward. <shapeB_step_0>
- Shift the ellipse a little to the right and slightly downward.
After these transformations, which of the following shapes best represents th... | D | [['translate', [-10, -10]], ['translate', [10, -10]]] | easy | {"instance_id": 72, "shape_A": {"name": "square", "facecolor": [0.41699375901989344, 0.11906993690280865, 0.9159786294720413], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.987408871750798, 30.987408871750798]}, "shape_B": {"name": "ellipse", "facecolor": [0.12199389900843127, 0.8456321118005239, 0.2005721871... | {"easy": "D", "medium": "C", "hard": "D"} | ||
2steps_medium_all_5 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon to the right by a significant amount. <shapeB_step_0>
- Reduce the size of the hexagon, making it smaller. <shapeB_step_1>
After these transformations, which of the following shapes best represents the f... | C | [['translate', [30, 0]], ['scale', 0.5]] | medium | {"instance_id": 5, "shape_A": {"name": "ellipse", "facecolor": [0.39390371272860714, 0.7948972283809458, 0.3390852999525653], "edgecolor": "black", "center": [-3.552713678800501e-16, 6.661338147750939e-17], "size": [32.57752866073627, 21.63982923818263]}, "shape_B": {"name": "hexagon", "facecolor": [0.9389485669553754,... | {"easy": "A", "medium": "C"} | ||
2steps_medium_all_29 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Rotate the hexagon by 60 degrees clockwise around its center. <shapeB_step_0>
- Rotate the hexagon by 90 degrees counter-clockwise around its center. <shapeB_step_1>
After these transformations, which of the following sha... | C | [['rotate', -60], ['rotate', 90]] | medium | {"instance_id": 29, "shape_A": {"name": "rectangle", "facecolor": [0.26617824464117834, 0.06584738591411499, 0.1010319909115096], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.47121283356394, 22.516200762531998]}, "shape_B": {"name": "hexagon", "facecolor": [0.8795276708281322, 0.2682669497666631, 0.205705375... | {"easy": "B", "medium": "C", "hard": "A"} | ||
2steps_medium_all_98 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Shift the rectangle to the left by a significant amount and slightly downward. <shapeB_step_0>
- Shift the rectangle a little to the left. <shapeB_step_1>
After these transformations, which of the following shapes best ... | B | [['translate', [-30, -10]], ['translate', [-10, 0]]] | medium | {"instance_id": 98, "shape_A": {"name": "ellipse", "facecolor": [0.8970940726076202, 0.33045794963254105, 0.767542057392423], "edgecolor": "black", "center": [9.769962616701378e-16, -2.3869795029440865e-16], "size": [33.58914232667937, 20.617897771545824]}, "shape_B": {"name": "rectangle", "facecolor": [0.3619655367418... | {"easy": "A", "medium": "B", "hard": "D"} | ||
2steps_medium_all_12 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square to the left by a significant amount and slightly downward. <shapeB_step_0>
- Flip the square as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>
After these transformations, which of th... | C | [['translate', [-30, -10]], ['flip', 'horizontal']] | medium | {"instance_id": 12, "shape_A": {"name": "ellipse", "facecolor": [0.08081146692917374, 0.3326294469165263, 0.9866403726996799], "edgecolor": "black", "center": [-3.108624468950438e-16, -2.220446049250313e-16], "size": [32.147048615045605, 22.14512724300205]}, "shape_B": {"name": "square", "facecolor": [0.150778451095262... | {"easy": "D", "medium": "C", "hard": "C"} | ||
2steps_medium_all_48 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square to the right by a significant amount. <shapeB_step_0>
- Shift the square a little to the right and slightly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represe... | A | [['translate', [30, 0]], ['translate', [10, -10]]] | medium | {"instance_id": 48, "shape_A": {"name": "ellipse", "facecolor": [0.5668746151748413, 0.614809201762814, 0.7409945757086595], "edgecolor": "black", "center": [-2.6645352591003756e-16, 3.108624468950438e-16], "size": [33.266598335046034, 23.512351250803153]}, "shape_B": {"name": "square", "facecolor": [0.7283034564351284... | {"easy": "D", "medium": "A", "hard": "A"} | ||
2steps_medium_all_58 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Reduce the size of the triangle, making it smaller. <shapeB_step_1>
After these transformations, which of the following shapes best... | A | [['rotate', 30], ['scale', 0.5]] | medium | {"instance_id": 58, "shape_A": {"name": "square", "facecolor": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.97502196345081, 32.97502196345081]}, "shape_B": {"name": "triangle", "facecolor": [0.25266266881353594, 0.5200834580091733, 0.77017244116... | {"easy": "B", "medium": "A", "hard": "A"} | ||
2steps_medium_all_81 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Rotate the square by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Shift the square a little to the left and significantly upward. <shapeB_step_1>
After these transformations, which of the following sha... | C | [['rotate', 30], ['translate', [-10, 30]]] | medium | {"instance_id": 81, "shape_A": {"name": "rectangle", "facecolor": [0.7122100375578423, 0.8937033343870389, 0.6166389062987], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.709912373637906, 20.918810315342093]}, "shape_B": {"name": "square", "facecolor": [0.010262738539131289, 0.4409510756494397, 0.087950897751... | {"easy": "C", "medium": "C", "hard": "D"} | ||
2steps_medium_all_46 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 60 degrees clockwise around its center. <shapeB_step_0>
- Shift the circle a little to the right and significantly downward. <shapeB_step_1>
After these transformations, which of the following shapes b... | B | [['rotate', -60], ['translate', [10, -30]]] | medium | {"instance_id": 46, "shape_A": {"name": "rectangle", "facecolor": [0.8957184739058375, 0.4406495499811689, 0.598835708808161], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.37069677274037, 21.922365908439833]}, "shape_B": {"name": "circle", "facecolor": [0.6420732171173018, 0.6269776757333287, 0.0502991730718... | {"easy": "C", "medium": "B", "hard": "D"} | ||
2steps_medium_all_47 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Rotate the hexagon by 60 degrees clockwise around its center. <shapeB_step_0>
- Shift the hexagon to the left by a significant amount and significantly downward. <shapeB_step_1>
After these transformations, which of the f... | B | [['rotate', -60], ['translate', [-30, -30]]] | medium | {"instance_id": 47, "shape_A": {"name": "square", "facecolor": [0.6823387267082941, 0.7924052345565082, 0.36868091711306583], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.341612199366306, 31.341612199366306]}, "shape_B": {"name": "hexagon", "facecolor": [0.03831579559023779, 0.6730112442733756, 0.16791966020... | {"easy": "D", "medium": "B", "hard": "C"} | ||
2steps_medium_all_45 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon to the right by a significant amount. <shapeB_step_0>
- Shift the hexagon a little to the left and slightly downward. <shapeB_step_1>
After these transformations, which of the following shapes best repre... | B | [['translate', [30, 0]], ['translate', [-10, -10]]] | medium | {"instance_id": 45, "shape_A": {"name": "ellipse", "facecolor": [0.8712351975048794, 0.027269522743553765, 0.1539918160804219], "edgecolor": "black", "center": [-6.217248937900876e-16, 5.10702591327572e-16], "size": [32.86020752447745, 22.42693061479845]}, "shape_B": {"name": "hexagon", "facecolor": [0.4556287532499388... | {"easy": "C", "medium": "B", "hard": "A"} | ||
2steps_medium_all_85 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_0>
- Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_1>
After these transformations, which of the followin... | A | [['rotate', -90], ['translate', [30, -10]]] | medium | {"instance_id": 85, "shape_A": {"name": "hexagon", "facecolor": [0.6296645766745638, 0.3426078547531958, 0.30430066304382597], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [68.94327130306716, 59.70662436845885]}, "shape_B": {"name": "circle", "facecolor": [0.177817235144817... | {"easy": "A", "medium": "A", "hard": "D"} | ||
2steps_medium_all_34 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Reduce the size of the triangle, making it smaller. <shapeB_step_0>
- Increase the size of the triangle, making it larger. <shapeB_step_1>
After these transformations, which of the following shapes best represents the fi... | B | [['scale', 0.5], ['scale', 2.0]] | medium | {"instance_id": 34, "shape_A": {"name": "ellipse", "facecolor": [0.9896430783887331, 0.3734743596330379, 0.5657145935088911], "edgecolor": "black", "center": [-1.3322676295501878e-16, 3.3306690738754696e-16], "size": [30.561674629590005, 20.791119590349158]}, "shape_B": {"name": "triangle", "facecolor": [0.798096999883... | {"easy": "A", "medium": "B", "hard": "D"} | ||
2steps_medium_all_89 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Shift the rectangle to the right by a significant amount and slightly downward. <shapeB_step_0>
- Shift the rectangle a little to the right and significantly upward. <shapeB_step_1>
After these transformations, which of... | B | [['translate', [30, -10]], ['translate', [10, 30]]] | medium | {"instance_id": 89, "shape_A": {"name": "square", "facecolor": [0.4003073913273597, 0.37702966273481175, 0.6606894506741379], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.580039808982136, 34.580039808982136]}, "shape_B": {"name": "rectangle", "facecolor": [0.8196171286340513, 0.1421170007291448, 0.9598908530... | {"easy": "B", "medium": "B", "hard": "D"} | ||
2steps_medium_all_9 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square a little to the right. <shapeB_step_0>
- Rotate the square by 60 degrees counter-clockwise around its center. <shapeB_step_1>
After these transformations, which of the following shapes best represents the ... | A | [['translate', [10, 0]], ['rotate', 60]] | medium | {"instance_id": 9, "shape_A": {"name": "pentagon", "facecolor": [0.6771833769890718, 0.2601667927212239, 0.9906766204079072], "edgecolor": "black", "center": [-1.0658141036401502e-15, 1.4210854715202005e-15], "size": [54.37866121731794, 57.177108074660325]}, "shape_B": {"name": "square", "facecolor": [0.207636225610353... | {"easy": "C", "medium": "A", "hard": "B"} | ||
2steps_medium_all_105 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Reduce the size of the hexagon, making it smaller. <shapeB_step_0>
- Shift the hexagon to the left by a significant amount and significantly downward. <shapeB_step_1>
After these transformations, which of the following sh... | A | [['scale', 0.5], ['translate', [-30, -30]]] | medium | {"instance_id": 105, "shape_A": {"name": "circle", "facecolor": [0.5379846683199422, 0.6480325037266158, 0.42537862917188485], "edgecolor": "black", "center": [1.7763568394002506e-16, -1.7097434579227411e-15], "size": [66.063639289599, 66.063639289599]}, "shape_B": {"name": "hexagon", "facecolor": [0.06485487611056151,... | {"easy": "A", "medium": "A", "hard": "B"} | ||
2steps_medium_all_21 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Shift the triangle slightly upward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the ... | D | [['rotate', 30], ['translate', [0, 10]]] | medium | {"instance_id": 21, "shape_A": {"name": "square", "facecolor": [0.9794869379377804, 0.8486162610031903, 0.7370783133705054], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.085687290472556, 32.085687290472556]}, "shape_B": {"name": "triangle", "facecolor": [0.48749651312589914, 0.48610096062239794, 0.5910392755... | {"easy": "D", "medium": "D", "hard": "A"} | ||
2steps_medium_all_68 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon slightly downward. <shapeB_step_0>
- Shift the hexagon to the right by a significant amount and significantly downward. <shapeB_step_1>
After these transformations, which of the following shapes best rep... | D | [['translate', [0, -10]], ['translate', [30, -30]]] | medium | {"instance_id": 68, "shape_A": {"name": "ellipse", "facecolor": [0.26726579155818575, 0.5950126088090331, 0.6456888734266008], "edgecolor": "black", "center": [-3.108624468950438e-16, -3.8857805861880476e-17], "size": [30.386934029224793, 22.99371048487331]}, "shape_B": {"name": "hexagon", "facecolor": [0.2088657774365... | {"easy": "A", "medium": "D", "hard": "B"} | ||
2steps_medium_all_108 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 90 degrees counter-clockwise around its center. <shapeB_step_0>
- Shift the circle to the right by a significant amount and slightly upward. <shapeB_step_1>
After these transformations, which of the fo... | A | [['rotate', 90], ['translate', [30, 10]]] | medium | {"instance_id": 108, "shape_A": {"name": "rectangle", "facecolor": [0.8767270681615356, 0.6443444692776149, 0.8974879587435582], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.623976282115695, 20.868938986027434]}, "shape_B": {"name": "circle", "facecolor": [0.45603252550947726, 0.6985436302996125, 0.503335474... | {"easy": "B", "medium": "A", "hard": "D"} | ||
2steps_medium_all_115 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Shift the rectangle a little to the left and slightly downward. <shapeB_step_0>
- Rotate the rectangle by 60 degrees counter-clockwise around its center. <shapeB_step_1>
After these transformations, which of the followi... | B | [['translate', [-10, -10]], ['rotate', 60]] | medium | {"instance_id": 115, "shape_A": {"name": "square", "facecolor": [0.08967624114817874, 0.5703500189967354, 0.08214814917255076], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.351615522514766, 30.351615522514766]}, "shape_B": {"name": "rectangle", "facecolor": [0.12890282484046012, 0.14350216399767002, 0.564231... | {"easy": "B", "medium": "B", "hard": "B"} | ||
2steps_medium_all_92 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Shift the rectangle a little to the right and significantly upward. <shapeB_step_0>
- Reduce the size of the rectangle, making it smaller. <shapeB_step_1>
After these transformations, which of the following shapes best ... | C | [['translate', [10, 30]], ['scale', 0.5]] | medium | {"instance_id": 92, "shape_A": {"name": "square", "facecolor": [0.19287782128184894, 0.6503740782221056, 0.8587783933000264], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.72195463686491, 31.72195463686491]}, "shape_B": {"name": "rectangle", "facecolor": [0.8513694691599814, 0.4529161192454827, 0.644316671146... | {"easy": "C", "medium": "C", "hard": "B"} | ||
2steps_medium_all_71 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle to the left by a significant amount and significantly downward. <shapeB_step_0>
- Shift the circle a little to the left and slightly downward. <shapeB_step_1>
After these transformations, which of the foll... | B | [['translate', [-30, -30]], ['translate', [-10, -10]]] | medium | {"instance_id": 71, "shape_A": {"name": "hexagon", "facecolor": [0.9244977221536306, 0.7214860176451653, 0.37228772746075467], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [66.91382467317439, 57.94907203134699]}, "shape_B": {"name": "circle", "facecolor": [0.0973178077141739... | {"easy": "B", "medium": "B", "hard": "C"} | ||
2steps_medium_all_7 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Reduce the size of the triangle, making it smaller. <shapeB_step_1>
After these transformations, which of the following shapes best... | D | [['rotate', 30], ['scale', 0.5]] | medium | {"instance_id": 7, "shape_A": {"name": "square", "facecolor": [0.4553326352258771, 0.2068673262083145, 0.48292599877938847], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.792313108669745, 34.792313108669745]}, "shape_B": {"name": "triangle", "facecolor": [0.31890947421770044, 0.3002640831819403, 0.81018593691... | {"easy": "D", "medium": "D"} | ||
2steps_medium_all_40 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle a little to the left and significantly downward. <shapeB_step_0>
- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>
After these transformations, which of the fo... | A | [['translate', [-10, -30]], ['flip', 'horizontal']] | medium | {"instance_id": 40, "shape_A": {"name": "hexagon", "facecolor": [0.6315245230864099, 0.3265330681704667, 0.15559832504206783], "edgecolor": "black", "center": [-5.921189464667501e-16, -5.921189464667501e-16], "size": [65.08835027371116, 56.36816482745368]}, "shape_B": {"name": "triangle", "facecolor": [0.46892630275836... | {"easy": "D", "medium": "A", "hard": "B"} | ||
2steps_medium_all_51 |
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Shift the ellipse to the right by a significant amount and significantly downward. <shapeB_step_0>
- Shift the ellipse a little to the right. <shapeB_step_1>
After these transformations, which of the following shapes best... | D | [['translate', [30, -30]], ['translate', [10, 0]]] | medium | {"instance_id": 51, "shape_A": {"name": "circle", "facecolor": [0.8333279382523369, 0.14546018911077163, 0.2714985913009901], "edgecolor": "black", "center": [0.0, 7.993605777301127e-16], "size": [63.11615786927266, 63.11615786927266]}, "shape_B": {"name": "ellipse", "facecolor": [0.2650264542245493, 0.4221851052080703... | {"easy": "D", "medium": "D", "hard": "A"} | ||
2steps_medium_all_99 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Reduce the size of the circle, making it smaller. <shapeB_step_0>
- Shift the circle significantly upward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
F... | D | [['scale', 0.5], ['translate', [0, 30]]] | medium | {"instance_id": 99, "shape_A": {"name": "pentagon", "facecolor": [0.8107740739172836, 0.6835251513964927, 0.36242459883378175], "edgecolor": "black", "center": [-7.105427357601002e-16, 0.0], "size": [55.10478222488226, 57.940596884340025]}, "shape_B": {"name": "circle", "facecolor": [0.2198677286788273, 0.6355703459608... | {"easy": "C", "medium": "D"} | ||
2steps_medium_all_119 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 60 degrees counter-clockwise around its center. <shapeB_step_0>
- Shift the circle to the right by a significant amount and slightly upward. <shapeB_step_1>
After these transformations, which of the fo... | D | [['rotate', 60], ['translate', [30, 10]]] | medium | {"instance_id": 119, "shape_A": {"name": "pentagon", "facecolor": [0.3628331336161923, 0.3181537710579265, 0.07237053133625004], "edgecolor": "black", "center": [-3.552713678800501e-16, 1.4210854715202005e-15], "size": [57.45433747497334, 60.4110654735715]}, "shape_B": {"name": "circle", "facecolor": [0.631688431578165... | {"easy": "C", "medium": "D", "hard": "D"} | ||
2steps_medium_all_27 |
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:
- Shift the pentagon to the left by a significant amount. <shapeB_step_0>
- Shift the pentagon to the left by a significant amount and significantly upward. <shapeB_step_1>
After these transformations, which of the followi... | D | [['translate', [-30, 0]], ['translate', [-30, 30]]] | medium | {"instance_id": 27, "shape_A": {"name": "square", "facecolor": [0.6326828793075645, 0.9722186279975634, 0.3245618722084622], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.695084533859536, 34.695084533859536]}, "shape_B": {"name": "pentagon", "facecolor": [0.2559872118503206, 0.015638489554738122, 0.6573175935... | {"easy": "D", "medium": "D"} | ||
2steps_medium_all_72 |
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Shift the ellipse a little to the left and slightly downward. <shapeB_step_0>
- Shift the ellipse a little to the right and slightly downward. <shapeB_step_1>
After these transformations, which of the following shapes bes... | C | [['translate', [-10, -10]], ['translate', [10, -10]]] | medium | {"instance_id": 72, "shape_A": {"name": "square", "facecolor": [0.41699375901989344, 0.11906993690280865, 0.9159786294720413], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.987408871750798, 30.987408871750798]}, "shape_B": {"name": "ellipse", "facecolor": [0.12199389900843127, 0.8456321118005239, 0.2005721871... | {"easy": "D", "medium": "C", "hard": "D"} | ||
2steps_medium_all_93 |
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Shift the ellipse a little to the right. <shapeB_step_0>
- Shift the ellipse to the right by a significant amount and significantly upward. <shapeB_step_1>
After these transformations, which of the following shapes best r... | B | [['translate', [10, 0]], ['translate', [30, 30]]] | medium | {"instance_id": 93, "shape_A": {"name": "rectangle", "facecolor": [0.5443017499435369, 0.24775111195336064, 0.42429836503955554], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.646502064015266, 23.27968513406261]}, "shape_B": {"name": "ellipse", "facecolor": [0.775060683475521, 0.07569638668142942, 0.540838119... | {"easy": "B", "medium": "B", "hard": "D"} | ||
2steps_medium_all_63 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 60 degrees counter-clockwise around its center. <shapeB_step_0>
- Rotate the circle by 60 degrees clockwise around its center. <shapeB_step_1>
After these transformations, which of the following shapes... | D | [['rotate', 60], ['rotate', -60]] | medium | {"instance_id": 63, "shape_A": {"name": "pentagon", "facecolor": [0.2647749902563443, 0.7489185677960649, 0.5863841278376783], "edgecolor": "black", "center": [-1.0658141036401502e-15, 1.4210854715202005e-15], "size": [61.08631921389689, 64.22995707117282]}, "shape_B": {"name": "circle", "facecolor": [0.117872944639969... | {"easy": "C", "medium": "D"} | ||
2steps_medium_all_106 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Rotate the hexagon by 30 degrees clockwise around its center. <shapeB_step_0>
- Rotate the hexagon by 90 degrees clockwise around its center. <shapeB_step_1>
After these transformations, which of the following shapes best... | A | [['rotate', -30], ['rotate', -90]] | medium | {"instance_id": 106, "shape_A": {"name": "ellipse", "facecolor": [0.0013968579978064222, 0.8508006671411654, 0.7996962895319134], "edgecolor": "black", "center": [-4.4408920985006264e-17, -6.328271240363392e-16], "size": [32.241490854737556, 24.766217407619934]}, "shape_B": {"name": "hexagon", "facecolor": [0.504929956... | {"medium": "A", "hard": "C"} | ||
2steps_medium_all_33 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_0>
- Reduce the size of the circle, making it smaller. <shapeB_step_1>
After these transformations, which of the following shapes best represents th... | B | [['rotate', -90], ['scale', 0.5]] | medium | {"instance_id": 33, "shape_A": {"name": "triangle", "facecolor": [0.7326877774334374, 0.5235587475379427, 0.4584195691394879], "edgecolor": "black", "center": [0.0, -5.921189464667501e-16], "size": [66.09472983207253, 32.343887638489065]}, "shape_B": {"name": "circle", "facecolor": [0.7267874043035828, 0.63292002300508... | {"easy": "B", "medium": "B", "hard": "A"} | ||
2steps_medium_all_102 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_0>
- Shift the triangle slightly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represe... | C | [['translate', [30, 10]], ['translate', [0, -10]]] | medium | {"instance_id": 102, "shape_A": {"name": "square", "facecolor": [0.6013343833220683, 0.7999233512102812, 0.9341556147510564], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.84968651398539, 31.84968651398539]}, "shape_B": {"name": "triangle", "facecolor": [0.858802885279082, 0.5077896100031754, 0.71180559049624... | {"easy": "A", "medium": "C", "hard": "D"} | ||
2steps_medium_all_107 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle a little to the left. <shapeB_step_0>
- Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_1>
After these transformations, which of the following shapes best represents the f... | B | [['translate', [-10, 0]], ['rotate', 30]] | medium | {"instance_id": 107, "shape_A": {"name": "ellipse", "facecolor": [0.0673208933399525, 0.2941452644487278, 0.5818350345899949], "edgecolor": "black", "center": [-1.7763568394002506e-16, -1.9984014443252818e-16], "size": [34.033434761006156, 22.14444038381347]}, "shape_B": {"name": "circle", "facecolor": [0.5524449592789... | {"easy": "C", "medium": "B", "hard": "D"} | ||
2steps_medium_all_75 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle to the left by a significant amount and slightly upward. <shapeB_step_0>
- Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_1>
After these transformations, which of the follo... | A | [['translate', [-30, 10]], ['rotate', -60]] | medium | {"instance_id": 75, "shape_A": {"name": "ellipse", "facecolor": [0.6449646778112202, 0.7254909738760252, 0.9883519577568156], "edgecolor": "black", "center": [-4.440892098500626e-16, -2.831068712794149e-16], "size": [32.94666450665948, 22.631616809247262]}, "shape_B": {"name": "triangle", "facecolor": [0.95435848572628... | {"easy": "D", "medium": "A", "hard": "B"} | ||
2steps_medium_all_w_ans_5 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon to the right by a significant amount. <shapeB_step_0>
- Reduce the size of the hexagon, making it smaller. <shapeB_step_1>
After these transformations, which of the following shapes best represents the f... | C | [['translate', [30, 0]], ['scale', 0.5]] | medium | {"instance_id": 5, "shape_A": {"name": "ellipse", "facecolor": [0.39390371272860714, 0.7948972283809458, 0.3390852999525653], "edgecolor": "black", "center": [-3.552713678800501e-16, 6.661338147750939e-17], "size": [32.57752866073627, 21.63982923818263]}, "shape_B": {"name": "hexagon", "facecolor": [0.9389485669553754,... | {"easy": "A", "medium": "C"} | ||
2steps_medium_all_w_ans_29 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Rotate the hexagon by 60 degrees clockwise around its center. <shapeB_step_0>
- Rotate the hexagon by 90 degrees counter-clockwise around its center. <shapeB_step_1>
After these transformations, which of the following sha... | C | [['rotate', -60], ['rotate', 90]] | medium | {"instance_id": 29, "shape_A": {"name": "rectangle", "facecolor": [0.26617824464117834, 0.06584738591411499, 0.1010319909115096], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.47121283356394, 22.516200762531998]}, "shape_B": {"name": "hexagon", "facecolor": [0.8795276708281322, 0.2682669497666631, 0.205705375... | {"easy": "B", "medium": "C", "hard": "A"} | ||
2steps_medium_all_w_ans_98 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Shift the rectangle to the left by a significant amount and slightly downward. <shapeB_step_0>
- Shift the rectangle a little to the left. <shapeB_step_1>
After these transformations, which of the following shapes best ... | B | [['translate', [-30, -10]], ['translate', [-10, 0]]] | medium | {"instance_id": 98, "shape_A": {"name": "ellipse", "facecolor": [0.8970940726076202, 0.33045794963254105, 0.767542057392423], "edgecolor": "black", "center": [9.769962616701378e-16, -2.3869795029440865e-16], "size": [33.58914232667937, 20.617897771545824]}, "shape_B": {"name": "rectangle", "facecolor": [0.3619655367418... | {"easy": "A", "medium": "B", "hard": "D"} | ||
2steps_medium_all_w_ans_12 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square to the left by a significant amount and slightly downward. <shapeB_step_0>
- Flip the square as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>
After these transformations, which of th... | C | [['translate', [-30, -10]], ['flip', 'horizontal']] | medium | {"instance_id": 12, "shape_A": {"name": "ellipse", "facecolor": [0.08081146692917374, 0.3326294469165263, 0.9866403726996799], "edgecolor": "black", "center": [-3.108624468950438e-16, -2.220446049250313e-16], "size": [32.147048615045605, 22.14512724300205]}, "shape_B": {"name": "square", "facecolor": [0.150778451095262... | {"easy": "D", "medium": "C", "hard": "C"} | ||
2steps_medium_all_w_ans_48 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square to the right by a significant amount. <shapeB_step_0>
- Shift the square a little to the right and slightly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represe... | A | [['translate', [30, 0]], ['translate', [10, -10]]] | medium | {"instance_id": 48, "shape_A": {"name": "ellipse", "facecolor": [0.5668746151748413, 0.614809201762814, 0.7409945757086595], "edgecolor": "black", "center": [-2.6645352591003756e-16, 3.108624468950438e-16], "size": [33.266598335046034, 23.512351250803153]}, "shape_B": {"name": "square", "facecolor": [0.7283034564351284... | {"easy": "D", "medium": "A", "hard": "A"} | ||
2steps_medium_all_w_ans_58 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Reduce the size of the triangle, making it smaller. <shapeB_step_1>
After these transformations, which of the following shapes best... | A | [['rotate', 30], ['scale', 0.5]] | medium | {"instance_id": 58, "shape_A": {"name": "square", "facecolor": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.97502196345081, 32.97502196345081]}, "shape_B": {"name": "triangle", "facecolor": [0.25266266881353594, 0.5200834580091733, 0.77017244116... | {"easy": "B", "medium": "A", "hard": "A"} | ||
2steps_medium_all_w_ans_81 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Rotate the square by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Shift the square a little to the left and significantly upward. <shapeB_step_1>
After these transformations, which of the following sha... | C | [['rotate', 30], ['translate', [-10, 30]]] | medium | {"instance_id": 81, "shape_A": {"name": "rectangle", "facecolor": [0.7122100375578423, 0.8937033343870389, 0.6166389062987], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.709912373637906, 20.918810315342093]}, "shape_B": {"name": "square", "facecolor": [0.010262738539131289, 0.4409510756494397, 0.087950897751... | {"easy": "C", "medium": "C", "hard": "D"} | ||
2steps_medium_all_w_ans_46 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 60 degrees clockwise around its center. <shapeB_step_0>
- Shift the circle a little to the right and significantly downward. <shapeB_step_1>
After these transformations, which of the following shapes b... | B | [['rotate', -60], ['translate', [10, -30]]] | medium | {"instance_id": 46, "shape_A": {"name": "rectangle", "facecolor": [0.8957184739058375, 0.4406495499811689, 0.598835708808161], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.37069677274037, 21.922365908439833]}, "shape_B": {"name": "circle", "facecolor": [0.6420732171173018, 0.6269776757333287, 0.0502991730718... | {"easy": "C", "medium": "B", "hard": "D"} | ||
2steps_medium_all_w_ans_47 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Rotate the hexagon by 60 degrees clockwise around its center. <shapeB_step_0>
- Shift the hexagon to the left by a significant amount and significantly downward. <shapeB_step_1>
After these transformations, which of the f... | B | [['rotate', -60], ['translate', [-30, -30]]] | medium | {"instance_id": 47, "shape_A": {"name": "square", "facecolor": [0.6823387267082941, 0.7924052345565082, 0.36868091711306583], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.341612199366306, 31.341612199366306]}, "shape_B": {"name": "hexagon", "facecolor": [0.03831579559023779, 0.6730112442733756, 0.16791966020... | {"easy": "D", "medium": "B", "hard": "C"} | ||
2steps_medium_all_w_ans_45 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon to the right by a significant amount. <shapeB_step_0>
- Shift the hexagon a little to the left and slightly downward. <shapeB_step_1>
After these transformations, which of the following shapes best repre... | B | [['translate', [30, 0]], ['translate', [-10, -10]]] | medium | {"instance_id": 45, "shape_A": {"name": "ellipse", "facecolor": [0.8712351975048794, 0.027269522743553765, 0.1539918160804219], "edgecolor": "black", "center": [-6.217248937900876e-16, 5.10702591327572e-16], "size": [32.86020752447745, 22.42693061479845]}, "shape_B": {"name": "hexagon", "facecolor": [0.4556287532499388... | {"easy": "C", "medium": "B", "hard": "A"} | ||
2steps_medium_all_w_ans_85 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_0>
- Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_1>
After these transformations, which of the followin... | A | [['rotate', -90], ['translate', [30, -10]]] | medium | {"instance_id": 85, "shape_A": {"name": "hexagon", "facecolor": [0.6296645766745638, 0.3426078547531958, 0.30430066304382597], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [68.94327130306716, 59.70662436845885]}, "shape_B": {"name": "circle", "facecolor": [0.177817235144817... | {"easy": "A", "medium": "A", "hard": "D"} | ||
2steps_medium_all_w_ans_34 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Reduce the size of the triangle, making it smaller. <shapeB_step_0>
- Increase the size of the triangle, making it larger. <shapeB_step_1>
After these transformations, which of the following shapes best represents the fi... | B | [['scale', 0.5], ['scale', 2.0]] | medium | {"instance_id": 34, "shape_A": {"name": "ellipse", "facecolor": [0.9896430783887331, 0.3734743596330379, 0.5657145935088911], "edgecolor": "black", "center": [-1.3322676295501878e-16, 3.3306690738754696e-16], "size": [30.561674629590005, 20.791119590349158]}, "shape_B": {"name": "triangle", "facecolor": [0.798096999883... | {"easy": "A", "medium": "B", "hard": "D"} | ||
2steps_medium_all_w_ans_89 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Shift the rectangle to the right by a significant amount and slightly downward. <shapeB_step_0>
- Shift the rectangle a little to the right and significantly upward. <shapeB_step_1>
After these transformations, which of... | B | [['translate', [30, -10]], ['translate', [10, 30]]] | medium | {"instance_id": 89, "shape_A": {"name": "square", "facecolor": [0.4003073913273597, 0.37702966273481175, 0.6606894506741379], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.580039808982136, 34.580039808982136]}, "shape_B": {"name": "rectangle", "facecolor": [0.8196171286340513, 0.1421170007291448, 0.9598908530... | {"easy": "B", "medium": "B", "hard": "D"} | ||
2steps_medium_all_w_ans_9 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square a little to the right. <shapeB_step_0>
- Rotate the square by 60 degrees counter-clockwise around its center. <shapeB_step_1>
After these transformations, which of the following shapes best represents the ... | A | [['translate', [10, 0]], ['rotate', 60]] | medium | {"instance_id": 9, "shape_A": {"name": "pentagon", "facecolor": [0.6771833769890718, 0.2601667927212239, 0.9906766204079072], "edgecolor": "black", "center": [-1.0658141036401502e-15, 1.4210854715202005e-15], "size": [54.37866121731794, 57.177108074660325]}, "shape_B": {"name": "square", "facecolor": [0.207636225610353... | {"easy": "C", "medium": "A", "hard": "B"} | ||
2steps_medium_all_w_ans_105 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Reduce the size of the hexagon, making it smaller. <shapeB_step_0>
- Shift the hexagon to the left by a significant amount and significantly downward. <shapeB_step_1>
After these transformations, which of the following sh... | A | [['scale', 0.5], ['translate', [-30, -30]]] | medium | {"instance_id": 105, "shape_A": {"name": "circle", "facecolor": [0.5379846683199422, 0.6480325037266158, 0.42537862917188485], "edgecolor": "black", "center": [1.7763568394002506e-16, -1.7097434579227411e-15], "size": [66.063639289599, 66.063639289599]}, "shape_B": {"name": "hexagon", "facecolor": [0.06485487611056151,... | {"easy": "A", "medium": "A", "hard": "B"} | ||
2steps_medium_all_w_ans_21 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Shift the triangle slightly upward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the ... | D | [['rotate', 30], ['translate', [0, 10]]] | medium | {"instance_id": 21, "shape_A": {"name": "square", "facecolor": [0.9794869379377804, 0.8486162610031903, 0.7370783133705054], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.085687290472556, 32.085687290472556]}, "shape_B": {"name": "triangle", "facecolor": [0.48749651312589914, 0.48610096062239794, 0.5910392755... | {"easy": "D", "medium": "D", "hard": "A"} | ||
2steps_medium_all_w_ans_68 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon slightly downward. <shapeB_step_0>
- Shift the hexagon to the right by a significant amount and significantly downward. <shapeB_step_1>
After these transformations, which of the following shapes best rep... | D | [['translate', [0, -10]], ['translate', [30, -30]]] | medium | {"instance_id": 68, "shape_A": {"name": "ellipse", "facecolor": [0.26726579155818575, 0.5950126088090331, 0.6456888734266008], "edgecolor": "black", "center": [-3.108624468950438e-16, -3.8857805861880476e-17], "size": [30.386934029224793, 22.99371048487331]}, "shape_B": {"name": "hexagon", "facecolor": [0.2088657774365... | {"easy": "A", "medium": "D", "hard": "B"} | ||
2steps_medium_all_w_ans_108 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 90 degrees counter-clockwise around its center. <shapeB_step_0>
- Shift the circle to the right by a significant amount and slightly upward. <shapeB_step_1>
After these transformations, which of the fo... | A | [['rotate', 90], ['translate', [30, 10]]] | medium | {"instance_id": 108, "shape_A": {"name": "rectangle", "facecolor": [0.8767270681615356, 0.6443444692776149, 0.8974879587435582], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.623976282115695, 20.868938986027434]}, "shape_B": {"name": "circle", "facecolor": [0.45603252550947726, 0.6985436302996125, 0.503335474... | {"easy": "B", "medium": "A", "hard": "D"} | ||
2steps_medium_all_w_ans_115 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Shift the rectangle a little to the left and slightly downward. <shapeB_step_0>
- Rotate the rectangle by 60 degrees counter-clockwise around its center. <shapeB_step_1>
After these transformations, which of the followi... | B | [['translate', [-10, -10]], ['rotate', 60]] | medium | {"instance_id": 115, "shape_A": {"name": "square", "facecolor": [0.08967624114817874, 0.5703500189967354, 0.08214814917255076], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.351615522514766, 30.351615522514766]}, "shape_B": {"name": "rectangle", "facecolor": [0.12890282484046012, 0.14350216399767002, 0.564231... | {"easy": "B", "medium": "B", "hard": "B"} | ||
2steps_medium_all_w_ans_92 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Shift the rectangle a little to the right and significantly upward. <shapeB_step_0>
- Reduce the size of the rectangle, making it smaller. <shapeB_step_1>
After these transformations, which of the following shapes best ... | C | [['translate', [10, 30]], ['scale', 0.5]] | medium | {"instance_id": 92, "shape_A": {"name": "square", "facecolor": [0.19287782128184894, 0.6503740782221056, 0.8587783933000264], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.72195463686491, 31.72195463686491]}, "shape_B": {"name": "rectangle", "facecolor": [0.8513694691599814, 0.4529161192454827, 0.644316671146... | {"easy": "C", "medium": "C", "hard": "B"} | ||
2steps_medium_all_w_ans_71 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle to the left by a significant amount and significantly downward. <shapeB_step_0>
- Shift the circle a little to the left and slightly downward. <shapeB_step_1>
After these transformations, which of the foll... | B | [['translate', [-30, -30]], ['translate', [-10, -10]]] | medium | {"instance_id": 71, "shape_A": {"name": "hexagon", "facecolor": [0.9244977221536306, 0.7214860176451653, 0.37228772746075467], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [66.91382467317439, 57.94907203134699]}, "shape_B": {"name": "circle", "facecolor": [0.0973178077141739... | {"easy": "B", "medium": "B", "hard": "C"} | ||
2steps_medium_all_w_ans_7 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Reduce the size of the triangle, making it smaller. <shapeB_step_1>
After these transformations, which of the following shapes best... | D | [['rotate', 30], ['scale', 0.5]] | medium | {"instance_id": 7, "shape_A": {"name": "square", "facecolor": [0.4553326352258771, 0.2068673262083145, 0.48292599877938847], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.792313108669745, 34.792313108669745]}, "shape_B": {"name": "triangle", "facecolor": [0.31890947421770044, 0.3002640831819403, 0.81018593691... | {"easy": "D", "medium": "D"} | ||
2steps_medium_all_w_ans_40 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle a little to the left and significantly downward. <shapeB_step_0>
- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>
After these transformations, which of the fo... | A | [['translate', [-10, -30]], ['flip', 'horizontal']] | medium | {"instance_id": 40, "shape_A": {"name": "hexagon", "facecolor": [0.6315245230864099, 0.3265330681704667, 0.15559832504206783], "edgecolor": "black", "center": [-5.921189464667501e-16, -5.921189464667501e-16], "size": [65.08835027371116, 56.36816482745368]}, "shape_B": {"name": "triangle", "facecolor": [0.46892630275836... | {"easy": "D", "medium": "A", "hard": "B"} | ||
2steps_medium_all_w_ans_51 |
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Shift the ellipse to the right by a significant amount and significantly downward. <shapeB_step_0>
- Shift the ellipse a little to the right. <shapeB_step_1>
After these transformations, which of the following shapes best... | D | [['translate', [30, -30]], ['translate', [10, 0]]] | medium | {"instance_id": 51, "shape_A": {"name": "circle", "facecolor": [0.8333279382523369, 0.14546018911077163, 0.2714985913009901], "edgecolor": "black", "center": [0.0, 7.993605777301127e-16], "size": [63.11615786927266, 63.11615786927266]}, "shape_B": {"name": "ellipse", "facecolor": [0.2650264542245493, 0.4221851052080703... | {"easy": "D", "medium": "D", "hard": "A"} | ||
2steps_medium_all_w_ans_99 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Reduce the size of the circle, making it smaller. <shapeB_step_0>
- Shift the circle significantly upward. <shapeB_step_1>
After these transformations, which of the following shapes best represents the final result?
F... | D | [['scale', 0.5], ['translate', [0, 30]]] | medium | {"instance_id": 99, "shape_A": {"name": "pentagon", "facecolor": [0.8107740739172836, 0.6835251513964927, 0.36242459883378175], "edgecolor": "black", "center": [-7.105427357601002e-16, 0.0], "size": [55.10478222488226, 57.940596884340025]}, "shape_B": {"name": "circle", "facecolor": [0.2198677286788273, 0.6355703459608... | {"easy": "C", "medium": "D"} | ||
2steps_medium_all_w_ans_119 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 60 degrees counter-clockwise around its center. <shapeB_step_0>
- Shift the circle to the right by a significant amount and slightly upward. <shapeB_step_1>
After these transformations, which of the fo... | D | [['rotate', 60], ['translate', [30, 10]]] | medium | {"instance_id": 119, "shape_A": {"name": "pentagon", "facecolor": [0.3628331336161923, 0.3181537710579265, 0.07237053133625004], "edgecolor": "black", "center": [-3.552713678800501e-16, 1.4210854715202005e-15], "size": [57.45433747497334, 60.4110654735715]}, "shape_B": {"name": "circle", "facecolor": [0.631688431578165... | {"easy": "C", "medium": "D", "hard": "D"} | ||
2steps_medium_all_w_ans_27 |
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:
- Shift the pentagon to the left by a significant amount. <shapeB_step_0>
- Shift the pentagon to the left by a significant amount and significantly upward. <shapeB_step_1>
After these transformations, which of the followi... | D | [['translate', [-30, 0]], ['translate', [-30, 30]]] | medium | {"instance_id": 27, "shape_A": {"name": "square", "facecolor": [0.6326828793075645, 0.9722186279975634, 0.3245618722084622], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.695084533859536, 34.695084533859536]}, "shape_B": {"name": "pentagon", "facecolor": [0.2559872118503206, 0.015638489554738122, 0.6573175935... | {"easy": "D", "medium": "D"} | ||
2steps_medium_all_w_ans_72 |
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Shift the ellipse a little to the left and slightly downward. <shapeB_step_0>
- Shift the ellipse a little to the right and slightly downward. <shapeB_step_1>
After these transformations, which of the following shapes bes... | C | [['translate', [-10, -10]], ['translate', [10, -10]]] | medium | {"instance_id": 72, "shape_A": {"name": "square", "facecolor": [0.41699375901989344, 0.11906993690280865, 0.9159786294720413], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.987408871750798, 30.987408871750798]}, "shape_B": {"name": "ellipse", "facecolor": [0.12199389900843127, 0.8456321118005239, 0.2005721871... | {"easy": "D", "medium": "C", "hard": "D"} | ||
2steps_medium_all_w_ans_93 |
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Shift the ellipse a little to the right. <shapeB_step_0>
- Shift the ellipse to the right by a significant amount and significantly upward. <shapeB_step_1>
After these transformations, which of the following shapes best r... | B | [['translate', [10, 0]], ['translate', [30, 30]]] | medium | {"instance_id": 93, "shape_A": {"name": "rectangle", "facecolor": [0.5443017499435369, 0.24775111195336064, 0.42429836503955554], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.646502064015266, 23.27968513406261]}, "shape_B": {"name": "ellipse", "facecolor": [0.775060683475521, 0.07569638668142942, 0.540838119... | {"easy": "B", "medium": "B", "hard": "D"} | ||
2steps_medium_all_w_ans_63 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 60 degrees counter-clockwise around its center. <shapeB_step_0>
- Rotate the circle by 60 degrees clockwise around its center. <shapeB_step_1>
After these transformations, which of the following shapes... | D | [['rotate', 60], ['rotate', -60]] | medium | {"instance_id": 63, "shape_A": {"name": "pentagon", "facecolor": [0.2647749902563443, 0.7489185677960649, 0.5863841278376783], "edgecolor": "black", "center": [-1.0658141036401502e-15, 1.4210854715202005e-15], "size": [61.08631921389689, 64.22995707117282]}, "shape_B": {"name": "circle", "facecolor": [0.117872944639969... | {"easy": "C", "medium": "D"} | ||
2steps_medium_all_w_ans_106 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Rotate the hexagon by 30 degrees clockwise around its center. <shapeB_step_0>
- Rotate the hexagon by 90 degrees clockwise around its center. <shapeB_step_1>
After these transformations, which of the following shapes best... | A | [['rotate', -30], ['rotate', -90]] | medium | {"instance_id": 106, "shape_A": {"name": "ellipse", "facecolor": [0.0013968579978064222, 0.8508006671411654, 0.7996962895319134], "edgecolor": "black", "center": [-4.4408920985006264e-17, -6.328271240363392e-16], "size": [32.241490854737556, 24.766217407619934]}, "shape_B": {"name": "hexagon", "facecolor": [0.504929956... | {"medium": "A", "hard": "C"} | ||
2steps_medium_all_w_ans_33 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_0>
- Reduce the size of the circle, making it smaller. <shapeB_step_1>
After these transformations, which of the following shapes best represents th... | B | [['rotate', -90], ['scale', 0.5]] | medium | {"instance_id": 33, "shape_A": {"name": "triangle", "facecolor": [0.7326877774334374, 0.5235587475379427, 0.4584195691394879], "edgecolor": "black", "center": [0.0, -5.921189464667501e-16], "size": [66.09472983207253, 32.343887638489065]}, "shape_B": {"name": "circle", "facecolor": [0.7267874043035828, 0.63292002300508... | {"easy": "B", "medium": "B", "hard": "A"} | ||
2steps_medium_all_w_ans_102 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_0>
- Shift the triangle slightly downward. <shapeB_step_1>
After these transformations, which of the following shapes best represe... | C | [['translate', [30, 10]], ['translate', [0, -10]]] | medium | {"instance_id": 102, "shape_A": {"name": "square", "facecolor": [0.6013343833220683, 0.7999233512102812, 0.9341556147510564], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.84968651398539, 31.84968651398539]}, "shape_B": {"name": "triangle", "facecolor": [0.858802885279082, 0.5077896100031754, 0.71180559049624... | {"easy": "A", "medium": "C", "hard": "D"} | ||
2steps_medium_all_w_ans_107 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle a little to the left. <shapeB_step_0>
- Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_1>
After these transformations, which of the following shapes best represents the f... | B | [['translate', [-10, 0]], ['rotate', 30]] | medium | {"instance_id": 107, "shape_A": {"name": "ellipse", "facecolor": [0.0673208933399525, 0.2941452644487278, 0.5818350345899949], "edgecolor": "black", "center": [-1.7763568394002506e-16, -1.9984014443252818e-16], "size": [34.033434761006156, 22.14444038381347]}, "shape_B": {"name": "circle", "facecolor": [0.5524449592789... | {"easy": "C", "medium": "B", "hard": "D"} | ||
2steps_medium_all_w_ans_75 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle to the left by a significant amount and slightly upward. <shapeB_step_0>
- Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_1>
After these transformations, which of the follo... | A | [['translate', [-30, 10]], ['rotate', -60]] | medium | {"instance_id": 75, "shape_A": {"name": "ellipse", "facecolor": [0.6449646778112202, 0.7254909738760252, 0.9883519577568156], "edgecolor": "black", "center": [-4.440892098500626e-16, -2.831068712794149e-16], "size": [32.94666450665948, 22.631616809247262]}, "shape_B": {"name": "triangle", "facecolor": [0.95435848572628... | {"easy": "D", "medium": "A", "hard": "B"} | ||
2steps_medium_all_last_5 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon to the right by a significant amount. <shapeB_step_0>
- Reduce the size of the hexagon, making it smaller.
After these transformations, which of the following shapes best represents the final result?
... | C | [['translate', [30, 0]], ['scale', 0.5]] | medium | {"instance_id": 5, "shape_A": {"name": "ellipse", "facecolor": [0.39390371272860714, 0.7948972283809458, 0.3390852999525653], "edgecolor": "black", "center": [-3.552713678800501e-16, 6.661338147750939e-17], "size": [32.57752866073627, 21.63982923818263]}, "shape_B": {"name": "hexagon", "facecolor": [0.9389485669553754,... | {"easy": "A", "medium": "C"} | ||
2steps_medium_all_last_29 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Rotate the hexagon by 60 degrees clockwise around its center. <shapeB_step_0>
- Rotate the hexagon by 90 degrees counter-clockwise around its center.
After these transformations, which of the following shapes best repres... | C | [['rotate', -60], ['rotate', 90]] | medium | {"instance_id": 29, "shape_A": {"name": "rectangle", "facecolor": [0.26617824464117834, 0.06584738591411499, 0.1010319909115096], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.47121283356394, 22.516200762531998]}, "shape_B": {"name": "hexagon", "facecolor": [0.8795276708281322, 0.2682669497666631, 0.205705375... | {"easy": "B", "medium": "C", "hard": "A"} | ||
2steps_medium_all_last_98 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Shift the rectangle to the left by a significant amount and slightly downward. <shapeB_step_0>
- Shift the rectangle a little to the left.
After these transformations, which of the following shapes best represents the ... | B | [['translate', [-30, -10]], ['translate', [-10, 0]]] | medium | {"instance_id": 98, "shape_A": {"name": "ellipse", "facecolor": [0.8970940726076202, 0.33045794963254105, 0.767542057392423], "edgecolor": "black", "center": [9.769962616701378e-16, -2.3869795029440865e-16], "size": [33.58914232667937, 20.617897771545824]}, "shape_B": {"name": "rectangle", "facecolor": [0.3619655367418... | {"easy": "A", "medium": "B", "hard": "D"} | ||
2steps_medium_all_last_12 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square to the left by a significant amount and slightly downward. <shapeB_step_0>
- Flip the square as if there's a mirror along the horizontal line y = 0.
After these transformations, which of the following sha... | C | [['translate', [-30, -10]], ['flip', 'horizontal']] | medium | {"instance_id": 12, "shape_A": {"name": "ellipse", "facecolor": [0.08081146692917374, 0.3326294469165263, 0.9866403726996799], "edgecolor": "black", "center": [-3.108624468950438e-16, -2.220446049250313e-16], "size": [32.147048615045605, 22.14512724300205]}, "shape_B": {"name": "square", "facecolor": [0.150778451095262... | {"easy": "D", "medium": "C", "hard": "C"} | ||
2steps_medium_all_last_48 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square to the right by a significant amount. <shapeB_step_0>
- Shift the square a little to the right and slightly downward.
After these transformations, which of the following shapes best represents the final r... | A | [['translate', [30, 0]], ['translate', [10, -10]]] | medium | {"instance_id": 48, "shape_A": {"name": "ellipse", "facecolor": [0.5668746151748413, 0.614809201762814, 0.7409945757086595], "edgecolor": "black", "center": [-2.6645352591003756e-16, 3.108624468950438e-16], "size": [33.266598335046034, 23.512351250803153]}, "shape_B": {"name": "square", "facecolor": [0.7283034564351284... | {"easy": "D", "medium": "A", "hard": "A"} | ||
2steps_medium_all_last_58 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Reduce the size of the triangle, making it smaller.
After these transformations, which of the following shapes best represents the... | A | [['rotate', 30], ['scale', 0.5]] | medium | {"instance_id": 58, "shape_A": {"name": "square", "facecolor": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.97502196345081, 32.97502196345081]}, "shape_B": {"name": "triangle", "facecolor": [0.25266266881353594, 0.5200834580091733, 0.77017244116... | {"easy": "B", "medium": "A", "hard": "A"} | ||
2steps_medium_all_last_81 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Rotate the square by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Shift the square a little to the left and significantly upward.
After these transformations, which of the following shapes best repres... | C | [['rotate', 30], ['translate', [-10, 30]]] | medium | {"instance_id": 81, "shape_A": {"name": "rectangle", "facecolor": [0.7122100375578423, 0.8937033343870389, 0.6166389062987], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.709912373637906, 20.918810315342093]}, "shape_B": {"name": "square", "facecolor": [0.010262738539131289, 0.4409510756494397, 0.087950897751... | {"easy": "C", "medium": "C", "hard": "D"} | ||
2steps_medium_all_last_46 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 60 degrees clockwise around its center. <shapeB_step_0>
- Shift the circle a little to the right and significantly downward.
After these transformations, which of the following shapes best represents ... | B | [['rotate', -60], ['translate', [10, -30]]] | medium | {"instance_id": 46, "shape_A": {"name": "rectangle", "facecolor": [0.8957184739058375, 0.4406495499811689, 0.598835708808161], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.37069677274037, 21.922365908439833]}, "shape_B": {"name": "circle", "facecolor": [0.6420732171173018, 0.6269776757333287, 0.0502991730718... | {"easy": "C", "medium": "B", "hard": "D"} | ||
2steps_medium_all_last_47 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Rotate the hexagon by 60 degrees clockwise around its center. <shapeB_step_0>
- Shift the hexagon to the left by a significant amount and significantly downward.
After these transformations, which of the following shapes... | B | [['rotate', -60], ['translate', [-30, -30]]] | medium | {"instance_id": 47, "shape_A": {"name": "square", "facecolor": [0.6823387267082941, 0.7924052345565082, 0.36868091711306583], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.341612199366306, 31.341612199366306]}, "shape_B": {"name": "hexagon", "facecolor": [0.03831579559023779, 0.6730112442733756, 0.16791966020... | {"easy": "D", "medium": "B", "hard": "C"} | ||
2steps_medium_all_last_45 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon to the right by a significant amount. <shapeB_step_0>
- Shift the hexagon a little to the left and slightly downward.
After these transformations, which of the following shapes best represents the final... | B | [['translate', [30, 0]], ['translate', [-10, -10]]] | medium | {"instance_id": 45, "shape_A": {"name": "ellipse", "facecolor": [0.8712351975048794, 0.027269522743553765, 0.1539918160804219], "edgecolor": "black", "center": [-6.217248937900876e-16, 5.10702591327572e-16], "size": [32.86020752447745, 22.42693061479845]}, "shape_B": {"name": "hexagon", "facecolor": [0.4556287532499388... | {"easy": "C", "medium": "B", "hard": "A"} | ||
2steps_medium_all_last_85 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_0>
- Shift the circle to the right by a significant amount and slightly downward.
After these transformations, which of the following shapes best r... | A | [['rotate', -90], ['translate', [30, -10]]] | medium | {"instance_id": 85, "shape_A": {"name": "hexagon", "facecolor": [0.6296645766745638, 0.3426078547531958, 0.30430066304382597], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [68.94327130306716, 59.70662436845885]}, "shape_B": {"name": "circle", "facecolor": [0.177817235144817... | {"easy": "A", "medium": "A", "hard": "D"} | ||
2steps_medium_all_last_34 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Reduce the size of the triangle, making it smaller. <shapeB_step_0>
- Increase the size of the triangle, making it larger.
After these transformations, which of the following shapes best represents the final result?
... | B | [['scale', 0.5], ['scale', 2.0]] | medium | {"instance_id": 34, "shape_A": {"name": "ellipse", "facecolor": [0.9896430783887331, 0.3734743596330379, 0.5657145935088911], "edgecolor": "black", "center": [-1.3322676295501878e-16, 3.3306690738754696e-16], "size": [30.561674629590005, 20.791119590349158]}, "shape_B": {"name": "triangle", "facecolor": [0.798096999883... | {"easy": "A", "medium": "B", "hard": "D"} | ||
2steps_medium_all_last_89 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Shift the rectangle to the right by a significant amount and slightly downward. <shapeB_step_0>
- Shift the rectangle a little to the right and significantly upward.
After these transformations, which of the following ... | B | [['translate', [30, -10]], ['translate', [10, 30]]] | medium | {"instance_id": 89, "shape_A": {"name": "square", "facecolor": [0.4003073913273597, 0.37702966273481175, 0.6606894506741379], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.580039808982136, 34.580039808982136]}, "shape_B": {"name": "rectangle", "facecolor": [0.8196171286340513, 0.1421170007291448, 0.9598908530... | {"easy": "B", "medium": "B", "hard": "D"} | ||
2steps_medium_all_last_9 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square a little to the right. <shapeB_step_0>
- Rotate the square by 60 degrees counter-clockwise around its center.
After these transformations, which of the following shapes best represents the final result?
... | A | [['translate', [10, 0]], ['rotate', 60]] | medium | {"instance_id": 9, "shape_A": {"name": "pentagon", "facecolor": [0.6771833769890718, 0.2601667927212239, 0.9906766204079072], "edgecolor": "black", "center": [-1.0658141036401502e-15, 1.4210854715202005e-15], "size": [54.37866121731794, 57.177108074660325]}, "shape_B": {"name": "square", "facecolor": [0.207636225610353... | {"easy": "C", "medium": "A", "hard": "B"} |
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