image_path
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52
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question
null
answer
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2 values
prompt_reasoning
null
prompt_no_reasoning
stringclasses
780 values
image_category
stringclasses
1 value
task_category
stringclasses
1 value
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stringclasses
1 value
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stringclasses
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stringlengths
97
97
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imagewidth (px)
512
2.3k
images/SyntheticGeometry/syntheticgeometry_27770noise_1.jpeg
null
False
null
There is a triangle ABD in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_27770_triangle_c816fe1dfe114c8d60a8d063902fa19e1849b3f9696257de044e98cf5f26e18d
images/SyntheticGeometry/syntheticgeometry_08049.png
null
False
null
There is a triangle AEB in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_08049_triangle_ae62a92f26f9df287ea6dfa106b2a7a91e2802aefeb9c912e14c2d8c1835b00e
images/SyntheticGeometry/syntheticgeometry_46233noise_1.jpeg
null
False
null
There is a triangle BAC in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_46233_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_29020noise_0.jpeg
null
False
null
There is a triangle FIG in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_29020_triangle_580f7e2830799fb9a4fa1aa293dd3e1d3dd01fe71c117a8a2905ed4c3d5bfd2d
images/SyntheticGeometry/syntheticgeometry_46122noise_1.jpeg
null
False
null
There is a triangle EFH in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_46122_triangle_8edbfe9d7a20323b1f23131f9c08594d500ba71f57ca747c1299cbca9c31214e
images/SyntheticGeometry/syntheticgeometry_08151.png
null
False
null
There is a triangle DGA in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_08151_triangle_40a12a07b4047a41cb8ef349311ae4d0a2faa58cc55ca98e538403b05b888bf7
images/SyntheticGeometry/syntheticgeometry_12945noise_1.jpeg
null
False
null
There is a triangle BFE in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_12945_triangle_a5c333d30f3fc602cc4cf703089fe4d8ed87b4218b2d8dca7b3a6c8f0bb63a95
images/SyntheticGeometry/syntheticgeometry_38997noise_0.jpeg
null
False
null
There is a triangle FGH in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_38997_triangle_c3b8923417486b3f094a6306834c900927b8e106d51f76f7a1fc2398a2842283
images/SyntheticGeometry/syntheticgeometry_34674.png
null
False
null
There is a triangle EAD in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_34674_triangle_478987d6402515f17f3de9f7ae54e7e47634aef876b035f8a03ef9aeb5ee1fc0
images/SyntheticGeometry/syntheticgeometry_11605noise_0.jpeg
null
False
null
There is a triangle IKB in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_11605_triangle_b7a5d6b600db61e7016fdb639d07901e162e7fbf47572a53f570bf5c22d74350
images/SyntheticGeometry/syntheticgeometry_29806.png
null
False
null
There is a triangle ACM in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_29806_triangle_ea327a6c11beae2c444c96a22a293529625be9e7d85b52d3b1aff07dc68c7aef
images/SyntheticGeometry/syntheticgeometry_34135.png
null
False
null
There is a triangle AEB in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_34135_triangle_ae62a92f26f9df287ea6dfa106b2a7a91e2802aefeb9c912e14c2d8c1835b00e
images/SyntheticGeometry/syntheticgeometry_30885noise_1.jpeg
null
False
null
There is a triangle ABD in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_30885_triangle_c816fe1dfe114c8d60a8d063902fa19e1849b3f9696257de044e98cf5f26e18d
images/SyntheticGeometry/syntheticgeometry_45091noise_1.jpeg
null
False
null
There is a triangle AEC in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_45091_triangle_83daea147538b29e588b72b2a26f9469de565266f382ff1cc8a67189c83de3a7
images/SyntheticGeometry/syntheticgeometry_23585.png
null
False
null
There is a triangle DAC in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_23585_triangle_d6ae5d9891f14406dd39b720de381892ac443584400778d989c1b252bfcf1aa6
images/SyntheticGeometry/syntheticgeometry_40975noise_0.jpeg
null
False
null
There is a triangle CBG in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_40975_triangle_14e9f39a0dcfba350f24c8cacf4ce5855280d8a2128d8fc775fa54adf2983401
images/SyntheticGeometry/syntheticgeometry_42586noise_0.jpeg
null
False
null
There is a triangle DIL in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_42586_triangle_f05dd5ef25695b4b41f32c1decaa30ecd0f7412baf94b0f887b377b39c1bd5bd
images/SyntheticGeometry/syntheticgeometry_15899.png
null
False
null
There is a triangle AFD in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_15899_triangle_04d503d37c44fc398eb5424f1858dc4de13dc982b8eb813d828698eb263cd84f
images/SyntheticGeometry/syntheticgeometry_22818noise_1.jpeg
null
False
null
There is a triangle GHD in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_22818_triangle_5a5d96dfcb3ecf9ecaf64b65acbc4f287cd53a83766aed33a4ff34ba727e3d2c
images/SyntheticGeometry/syntheticgeometry_06809noise_1.jpeg
null
False
null
There is a triangle EDB in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_06809_triangle_e3574c029e88e5ab90cf5bf07ecd47413c104814c0de3765f933e2d34314864f
images/SyntheticGeometry/syntheticgeometry_14320noise_0.jpeg
null
False
null
There is a triangle EDB in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_14320_triangle_e3574c029e88e5ab90cf5bf07ecd47413c104814c0de3765f933e2d34314864f
images/SyntheticGeometry/syntheticgeometry_12518noise_0.jpeg
null
False
null
There is a triangle BHE in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_12518_triangle_13e04bbe3361e1268e1cbefb312a1b16e3cf2a0f3139253a7cef8b54cf1f971e
images/SyntheticGeometry/syntheticgeometry_48971noise_0.jpeg
null
False
null
There is a triangle FEK in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_48971_triangle_741cc663396f8dd5a53e82aaa0caab6e87b6fb9c20e9558d8182f863cd3ced6a
images/SyntheticGeometry/syntheticgeometry_36516.png
null
False
null
There is a triangle EAD in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_36516_triangle_478987d6402515f17f3de9f7ae54e7e47634aef876b035f8a03ef9aeb5ee1fc0
images/SyntheticGeometry/syntheticgeometry_28043.png
null
False
null
There is a triangle GAE in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_28043_triangle_ba39989e80c8088311fa5623de69dad858d1f5d9160b7995f763934f6227363f
images/SyntheticGeometry/syntheticgeometry_41511noise_0.jpeg
null
False
null
There is a triangle ADJ in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_41511_triangle_e395cf7bbe17a6e2dcc83b7bbe9d5babed53e599aaac3bbd6fb7269f7a77eb8e
images/SyntheticGeometry/syntheticgeometry_35745noise_0.jpeg
null
False
null
There is a triangle CBG in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_35745_triangle_14e9f39a0dcfba350f24c8cacf4ce5855280d8a2128d8fc775fa54adf2983401
images/SyntheticGeometry/syntheticgeometry_39542noise_0.jpeg
null
False
null
There is a triangle DCB in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_39542_triangle_e9f3d9888c449fdd6ac03b339ba03d4f449e63015c84b74651df93ce560c30dd
images/SyntheticGeometry/syntheticgeometry_04167.png
null
False
null
There is a triangle AGJ in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_04167_triangle_a269e0051a6bd2cb3fddb762d19f371496bcaf6047eec53bbe062e88e373aa2a
images/SyntheticGeometry/syntheticgeometry_29807noise_0.jpeg
null
False
null
There is a triangle DAC in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_29807_triangle_d6ae5d9891f14406dd39b720de381892ac443584400778d989c1b252bfcf1aa6
images/SyntheticGeometry/syntheticgeometry_02258noise_0.jpeg
null
False
null
There is a triangle EFH in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_02258_triangle_8edbfe9d7a20323b1f23131f9c08594d500ba71f57ca747c1299cbca9c31214e
images/SyntheticGeometry/syntheticgeometry_48406.png
null
False
null
There is a triangle CAH in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_48406_triangle_ed7bd156b30ed87625faa6f75f93dfb2feed2c5a4b5ba1ad64906cd6f0ffdf43
images/SyntheticGeometry/syntheticgeometry_08496noise_1.jpeg
null
False
null
There is a triangle FEA in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_08496_triangle_08e169475c4d65243a08aa980efa9f32d07cd5e04aff7b941b8cfab67cf39908
images/SyntheticGeometry/syntheticgeometry_13701noise_1.jpeg
null
False
null
There is a triangle JGH in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_13701_triangle_9ba141731d0ee2bee4361f7c5dd57b71976d7284c7cdffb1ce009b2e72c4e843
images/SyntheticGeometry/syntheticgeometry_04051noise_0.jpeg
null
False
null
There is a triangle HCG in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_04051_triangle_cd2758d02e9975eaa0c8ca1f1677d6ae86e6bb8c6c8ba2447ebb18faedf172b7
images/SyntheticGeometry/syntheticgeometry_17749noise_0.jpeg
null
False
null
There is a triangle BHE in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_17749_triangle_13e04bbe3361e1268e1cbefb312a1b16e3cf2a0f3139253a7cef8b54cf1f971e
images/SyntheticGeometry/syntheticgeometry_24862.png
null
False
null
There is a triangle IDE in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_24862_triangle_3ec00a9b24f0ee661bb0422a7398d513735e7425099ab139ba5d9539cf98ed0d
images/SyntheticGeometry/syntheticgeometry_14173.png
null
False
null
There is a triangle ABD in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_14173_triangle_c816fe1dfe114c8d60a8d063902fa19e1849b3f9696257de044e98cf5f26e18d
images/SyntheticGeometry/syntheticgeometry_34302noise_0.jpeg
null
False
null
There is a triangle BEG in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_34302_triangle_27ff8eba9fcc29729461286b3a9a5b1f67a0a3a01dde9a5995ceeb4aadae32e2
images/SyntheticGeometry/syntheticgeometry_06847noise_0.jpeg
null
False
null
There is a triangle BAC in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_06847_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_11500noise_0.jpeg
null
False
null
There is a triangle BFG in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_11500_triangle_bf3538163c69e939c1e5f299db415acf7cfa109255704a314f4ab43ab5bd21ab
images/SyntheticGeometry/syntheticgeometry_12408noise_1.jpeg
null
False
null
There is a triangle DCH in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_12408_triangle_36df50a1f1e62eaf533ad1b92c0d5a04b0cda3fe0337418dcf9836888dbb4ba5
images/SyntheticGeometry/syntheticgeometry_20498.png
null
False
null
There is a triangle EAD in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_20498_triangle_478987d6402515f17f3de9f7ae54e7e47634aef876b035f8a03ef9aeb5ee1fc0
images/SyntheticGeometry/syntheticgeometry_11942noise_0.jpeg
null
False
null
There is a triangle CBG in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_11942_triangle_14e9f39a0dcfba350f24c8cacf4ce5855280d8a2128d8fc775fa54adf2983401
images/SyntheticGeometry/syntheticgeometry_36452noise_1.jpeg
null
False
null
There is a triangle FAG in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_36452_triangle_de558f300cdbaac8a9a6effb91f44ed12723e9fe2b9884c4abe5efbf3571466c
images/SyntheticGeometry/syntheticgeometry_27479noise_0.jpeg
null
False
null
There is a triangle DFC in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_27479_triangle_5ebb277736b86ae78ff74732ba37f59dc4f76b4e81ae62c9c100e30f04280fd1
images/SyntheticGeometry/syntheticgeometry_21677noise_1.jpeg
null
False
null
There is a triangle BAC in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_21677_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_31631.png
null
False
null
There is a triangle BLA in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_31631_triangle_db7e4494381ddc842840e47d20800ba8af4758d829e3fb78cb27c0b9e4045353
images/SyntheticGeometry/syntheticgeometry_02186.png
null
False
null
There is a triangle FBM in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_02186_triangle_960685a75b085203c04c58aec2925fcbb52428f3cc97e149e17f2eea78e83765
images/SyntheticGeometry/syntheticgeometry_16104noise_0.jpeg
null
False
null
There is a triangle DCB in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_16104_triangle_e9f3d9888c449fdd6ac03b339ba03d4f449e63015c84b74651df93ce560c30dd
images/SyntheticGeometry/syntheticgeometry_20769noise_0.jpeg
null
False
null
There is a triangle DAC in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_20769_triangle_d6ae5d9891f14406dd39b720de381892ac443584400778d989c1b252bfcf1aa6
images/SyntheticGeometry/syntheticgeometry_13205noise_0.jpeg
null
False
null
There is a triangle DFC in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_13205_triangle_5ebb277736b86ae78ff74732ba37f59dc4f76b4e81ae62c9c100e30f04280fd1
images/SyntheticGeometry/syntheticgeometry_13410noise_0.jpeg
null
False
null
There is a triangle DAC in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_13410_triangle_d6ae5d9891f14406dd39b720de381892ac443584400778d989c1b252bfcf1aa6
images/SyntheticGeometry/syntheticgeometry_13466.png
null
False
null
There is a triangle KED in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_13466_triangle_f0d69b8131003d2610dda85e71170b6c9cd7c9b5fadbf5aeb36cf7c397344972
images/SyntheticGeometry/syntheticgeometry_28743.png
null
False
null
There is a triangle CAG in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_28743_triangle_23e4bc02c990465c23071a08671477b8c4ad79e06e396ebe9712dda25285a671
images/SyntheticGeometry/syntheticgeometry_24285.png
null
False
null
There is a triangle BAC in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_24285_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_25244noise_1.jpeg
null
False
null
There is a triangle CEG in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_25244_triangle_64031fd094ceb9d1dc46ae3099170f4d0633cb0df3136f380886acb3a1182b73
images/SyntheticGeometry/syntheticgeometry_16453noise_0.jpeg
null
False
null
There is a triangle ADE in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_16453_triangle_e460bd685cec7ed0ea0f80cdedacd4311eb0d690e379326e1454c32d4affaa9c
images/SyntheticGeometry/syntheticgeometry_10879noise_0.jpeg
null
False
null
There is a triangle FEA in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_10879_triangle_08e169475c4d65243a08aa980efa9f32d07cd5e04aff7b941b8cfab67cf39908
images/SyntheticGeometry/syntheticgeometry_47224.png
null
False
null
There is a triangle DAC in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_47224_triangle_d6ae5d9891f14406dd39b720de381892ac443584400778d989c1b252bfcf1aa6
images/SyntheticGeometry/syntheticgeometry_14392.png
null
False
null
There is a triangle BAC in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_14392_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_39135noise_0.jpeg
null
False
null
There is a triangle DFC in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_39135_triangle_5ebb277736b86ae78ff74732ba37f59dc4f76b4e81ae62c9c100e30f04280fd1
images/SyntheticGeometry/syntheticgeometry_10675.png
null
False
null
There is a triangle ABE in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_10675_triangle_9492edafa2038e183d9c4e61a7d7a3ee3f98e54f19341567243c9158a6b11274
images/SyntheticGeometry/syntheticgeometry_37362noise_0.jpeg
null
False
null
There is a triangle AFD in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_37362_triangle_04d503d37c44fc398eb5424f1858dc4de13dc982b8eb813d828698eb263cd84f
images/SyntheticGeometry/syntheticgeometry_43814noise_1.jpeg
null
False
null
There is a triangle GIB in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_43814_triangle_f84f5d15dd0b2e992c1348fc1b589b6764850af2edc7540bd65575fd451e89a4
images/SyntheticGeometry/syntheticgeometry_03837noise_0.jpeg
null
False
null
There is a triangle FBJ in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_03837_triangle_3d171f2faaaaea07c41924a8caddda3611d4724d66740b7c71a23b8b8aada8ca
images/SyntheticGeometry/syntheticgeometry_29992noise_0.jpeg
null
False
null
There is a triangle ECF in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_29992_triangle_c82ff0aa8ae02c4eb604d79c0feb47b74c4f828b9a5415b1f04b00d09a0848d6
images/SyntheticGeometry/syntheticgeometry_19479noise_0.jpeg
null
False
null
There is a triangle CIB in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_19479_triangle_9c672482d4a6463e1f5ecda6e563ff835d4221096219d4a767004a50313198c7
images/SyntheticGeometry/syntheticgeometry_18097.png
null
False
null
There is a triangle ABD in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_18097_triangle_c816fe1dfe114c8d60a8d063902fa19e1849b3f9696257de044e98cf5f26e18d
images/SyntheticGeometry/syntheticgeometry_02888.png
null
False
null
There is a triangle AEC in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_02888_triangle_83daea147538b29e588b72b2a26f9469de565266f382ff1cc8a67189c83de3a7
images/SyntheticGeometry/syntheticgeometry_30410noise_1.jpeg
null
False
null
There is a triangle GBK in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_30410_triangle_802609ce3232aca25a45308333d18ed816f5916db9d3ba16cee59aeb5099abde
images/SyntheticGeometry/syntheticgeometry_13273.png
null
False
null
There is a triangle AEC in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_13273_triangle_83daea147538b29e588b72b2a26f9469de565266f382ff1cc8a67189c83de3a7
images/SyntheticGeometry/syntheticgeometry_13878.png
null
False
null
There is a triangle IBA in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_13878_triangle_bef0c8ea1ce526ae046ce3dc1b660907b334abaea52af0be2d5c80d2798b3c41
images/SyntheticGeometry/syntheticgeometry_33469.png
null
False
null
There is a triangle GDR in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_33469_triangle_744429d3817670e224e00e3bac2d88cf7d51c2b8ee798fd8add622f17b4fca8d
images/SyntheticGeometry/syntheticgeometry_19457noise_1.jpeg
null
False
null
There is a triangle CBF in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_19457_triangle_c6a65587244258c0610f3ad073f0ca9e0ebd4d28eeec93a395ff52b6f55e4916
images/SyntheticGeometry/syntheticgeometry_22469.png
null
False
null
There is a triangle CDI in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_22469_triangle_89551259752b3929c9e6ba4ff1fb338ee94a560737a7a905ac6316fa9d0ad935
images/SyntheticGeometry/syntheticgeometry_23161.png
null
False
null
There is a triangle FIG in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_23161_triangle_580f7e2830799fb9a4fa1aa293dd3e1d3dd01fe71c117a8a2905ed4c3d5bfd2d
images/SyntheticGeometry/syntheticgeometry_36584noise_1.jpeg
null
False
null
There is a triangle KEC in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_36584_triangle_d2626f38ab4335012bee1a613eba6512e974ec23426661ff1e3a9d3ba96ec18b
images/SyntheticGeometry/syntheticgeometry_45007noise_0.jpeg
null
False
null
There is a triangle GHD in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_45007_triangle_5a5d96dfcb3ecf9ecaf64b65acbc4f287cd53a83766aed33a4ff34ba727e3d2c
images/SyntheticGeometry/syntheticgeometry_15759noise_0.jpeg
null
False
null
There is a triangle EAD in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_15759_triangle_478987d6402515f17f3de9f7ae54e7e47634aef876b035f8a03ef9aeb5ee1fc0
images/SyntheticGeometry/syntheticgeometry_12105.png
null
False
null
There is a triangle BFA in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_12105_triangle_d97cdff4b70d2b337d2f1f598292a865a9d190e06cd101d5e50d5edee5ad4049
images/SyntheticGeometry/syntheticgeometry_39117.png
null
False
null
There is a triangle DHB in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_39117_triangle_11962f94d9bc06889c05d38d181295bc59cd5ee01d83018b340787b28fbf8a19
images/SyntheticGeometry/syntheticgeometry_14484noise_0.jpeg
null
False
null
There is a triangle GEF in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_14484_triangle_8dbe1fbeb7f654af18659d2b328c5a29f365d0f31f7aa1c619b45278fd35be48
images/SyntheticGeometry/syntheticgeometry_06514noise_0.jpeg
null
False
null
There is a triangle BGD in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_06514_triangle_2c13e3cbf6f37fb59156530a3a9d7a9c915aa7bceb30ab48539b799be158e2cf
images/SyntheticGeometry/syntheticgeometry_45337noise_1.jpeg
null
False
null
There is a triangle IHB in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_45337_triangle_0e75be798f758e0bc258e1ff2239aa573f69dd0a76bec838de8f7d5e7ec49d9f
images/SyntheticGeometry/syntheticgeometry_03097noise_0.jpeg
null
False
null
There is a triangle DAC in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_03097_triangle_d6ae5d9891f14406dd39b720de381892ac443584400778d989c1b252bfcf1aa6
images/SyntheticGeometry/syntheticgeometry_31128.png
null
False
null
There is a triangle EDB in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_31128_triangle_e3574c029e88e5ab90cf5bf07ecd47413c104814c0de3765f933e2d34314864f
images/SyntheticGeometry/syntheticgeometry_17905.png
null
False
null
There is a triangle ABD in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_17905_triangle_c816fe1dfe114c8d60a8d063902fa19e1849b3f9696257de044e98cf5f26e18d
images/SyntheticGeometry/syntheticgeometry_14081.png
null
False
null
There is a triangle EBC in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_14081_triangle_3ee68f00f4002a53ce9472bc86ae0c05751b429884f8b8457646c56a81c40e41
images/SyntheticGeometry/syntheticgeometry_33341.png
null
False
null
There is a triangle ABD in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_33341_triangle_c816fe1dfe114c8d60a8d063902fa19e1849b3f9696257de044e98cf5f26e18d
images/SyntheticGeometry/syntheticgeometry_14136.png
null
False
null
There is a triangle ABD in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_14136_triangle_c816fe1dfe114c8d60a8d063902fa19e1849b3f9696257de044e98cf5f26e18d
images/SyntheticGeometry/syntheticgeometry_17699noise_0.jpeg
null
False
null
There is a triangle DEG in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_17699_triangle_9950eef02166261ab00a0bf9387381622dc9c349ea1701a75d1abe8772b3ee94
images/SyntheticGeometry/syntheticgeometry_42449noise_1.jpeg
null
False
null
There is a triangle CEG in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_42449_triangle_64031fd094ceb9d1dc46ae3099170f4d0633cb0df3136f380886acb3a1182b73
images/SyntheticGeometry/syntheticgeometry_47805.png
null
False
null
There is a triangle EBC in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_47805_triangle_3ee68f00f4002a53ce9472bc86ae0c05751b429884f8b8457646c56a81c40e41
images/SyntheticGeometry/syntheticgeometry_11985noise_1.jpeg
null
False
null
There is a triangle GEF in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_11985_triangle_8dbe1fbeb7f654af18659d2b328c5a29f365d0f31f7aa1c619b45278fd35be48
images/SyntheticGeometry/syntheticgeometry_36790noise_1.jpeg
null
False
null
There is a triangle EBC in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_36790_triangle_3ee68f00f4002a53ce9472bc86ae0c05751b429884f8b8457646c56a81c40e41
images/SyntheticGeometry/syntheticgeometry_39864noise_0.jpeg
null
False
null
There is a triangle DFG in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_39864_triangle_26dae466f1c1099bc6b7352ee4fc539b04f7f6786da289371ebe2a553feb9b13
images/SyntheticGeometry/syntheticgeometry_44610noise_0.jpeg
null
False
null
There is a triangle IKC in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_44610_triangle_ec88d01340b540d1723e9797983f4f782e4e76c76d8f2fcd9b29eca7ee2b9879
images/SyntheticGeometry/syntheticgeometry_06935noise_0.jpeg
null
False
null
There is a triangle HGA in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_06935_triangle_352df71edcc85e2de8392318f4d89aa6e6570d053cfbc597577aba075d1df1e0
images/SyntheticGeometry/syntheticgeometry_18998.png
null
False
null
There is a triangle EAD in the figure. True or False? A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure. Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
geometry
triangle
single_answer
[ "True", "False" ]
SyntheticGeometry
syntheticgeometry_18998_triangle_478987d6402515f17f3de9f7ae54e7e47634aef876b035f8a03ef9aeb5ee1fc0