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52
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null
answer
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2 values
prompt_reasoning
null
prompt_no_reasoning
stringclasses
780 values
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stringclasses
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stringclasses
1 value
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stringclasses
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97
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2.3k
images/SyntheticGeometry/syntheticgeometry_03571.png
null
True
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_03571_triangle_ae62a92f26f9df287ea6dfa106b2a7a91e2802aefeb9c912e14c2d8c1835b00e
images/SyntheticGeometry/syntheticgeometry_38136.png
null
True
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_38136_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_27987.png
null
True
null
There is a triangle EAH 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_27987_triangle_83880146b699f62de0c7323de5490fa0925bf3ddccaaaa80401525ef4a232fc6
images/SyntheticGeometry/syntheticgeometry_17102.png
null
True
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_17102_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_14694noise_0.jpeg
null
True
null
There is a triangle GHB 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_14694_triangle_8c8ba308fe5192af9fd832b42316afa22502d51eff5275f9be217cb04494b856
images/SyntheticGeometry/syntheticgeometry_12413.png
null
True
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_12413_triangle_c816fe1dfe114c8d60a8d063902fa19e1849b3f9696257de044e98cf5f26e18d
images/SyntheticGeometry/syntheticgeometry_34806.png
null
True
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_34806_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_05210noise_0.jpeg
null
True
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_05210_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_32799noise_1.jpeg
null
True
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_32799_triangle_c816fe1dfe114c8d60a8d063902fa19e1849b3f9696257de044e98cf5f26e18d
images/SyntheticGeometry/syntheticgeometry_12741.png
null
True
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_12741_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_12763noise_0.jpeg
null
True
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_12763_triangle_e3574c029e88e5ab90cf5bf07ecd47413c104814c0de3765f933e2d34314864f
images/SyntheticGeometry/syntheticgeometry_41926noise_1.jpeg
null
True
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_41926_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_24442noise_1.jpeg
null
True
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_24442_triangle_e9f3d9888c449fdd6ac03b339ba03d4f449e63015c84b74651df93ce560c30dd
images/SyntheticGeometry/syntheticgeometry_49701noise_0.jpeg
null
True
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_49701_triangle_14e9f39a0dcfba350f24c8cacf4ce5855280d8a2128d8fc775fa54adf2983401
images/SyntheticGeometry/syntheticgeometry_30326.png
null
True
null
There is a triangle JGI 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_30326_triangle_e1663e872b2fed7b3d1d45979f717e866b28384e4b509a9e79f43caddc48c4b0
images/SyntheticGeometry/syntheticgeometry_28202noise_1.jpeg
null
True
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_28202_triangle_ae62a92f26f9df287ea6dfa106b2a7a91e2802aefeb9c912e14c2d8c1835b00e
images/SyntheticGeometry/syntheticgeometry_45159.png
null
True
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_45159_triangle_ae62a92f26f9df287ea6dfa106b2a7a91e2802aefeb9c912e14c2d8c1835b00e
images/SyntheticGeometry/syntheticgeometry_14575.png
null
True
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_14575_triangle_c816fe1dfe114c8d60a8d063902fa19e1849b3f9696257de044e98cf5f26e18d
images/SyntheticGeometry/syntheticgeometry_45005.png
null
True
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_45005_triangle_c816fe1dfe114c8d60a8d063902fa19e1849b3f9696257de044e98cf5f26e18d
images/SyntheticGeometry/syntheticgeometry_16429noise_0.jpeg
null
True
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_16429_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_28952noise_1.jpeg
null
True
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_28952_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_06670noise_0.jpeg
null
True
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_06670_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_19193.png
null
True
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_19193_triangle_3ee68f00f4002a53ce9472bc86ae0c05751b429884f8b8457646c56a81c40e41
images/SyntheticGeometry/syntheticgeometry_36110noise_0.jpeg
null
True
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_36110_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_33111noise_1.jpeg
null
True
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_33111_triangle_e9f3d9888c449fdd6ac03b339ba03d4f449e63015c84b74651df93ce560c30dd
images/SyntheticGeometry/syntheticgeometry_05829.png
null
True
null
There is a triangle BAK 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_05829_triangle_dd94e14d22bfaf8a2b3c9cba87b3d889d4c52ad029da4223b334492f8c9a4ba5
images/SyntheticGeometry/syntheticgeometry_30350.png
null
True
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_30350_triangle_c816fe1dfe114c8d60a8d063902fa19e1849b3f9696257de044e98cf5f26e18d
images/SyntheticGeometry/syntheticgeometry_03407noise_1.jpeg
null
True
null
There is a triangle CDE 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_03407_triangle_d962571c53c3cc52134e131b7b40d9aff76d470cf6e6ab50d57f93bdab52a32e
images/SyntheticGeometry/syntheticgeometry_18803noise_1.jpeg
null
True
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_18803_triangle_bf3538163c69e939c1e5f299db415acf7cfa109255704a314f4ab43ab5bd21ab
images/SyntheticGeometry/syntheticgeometry_15967noise_0.jpeg
null
True
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_15967_triangle_e9f3d9888c449fdd6ac03b339ba03d4f449e63015c84b74651df93ce560c30dd
images/SyntheticGeometry/syntheticgeometry_09435.png
null
True
null
There is a triangle DAK 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_09435_triangle_c5d0de0dbfdc2446753dad506a8ea2ab6ae287ef48688d41a32e64f3a7231a6c
images/SyntheticGeometry/syntheticgeometry_29211noise_0.jpeg
null
True
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_29211_triangle_c816fe1dfe114c8d60a8d063902fa19e1849b3f9696257de044e98cf5f26e18d
images/SyntheticGeometry/syntheticgeometry_15513.png
null
True
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_15513_triangle_e3574c029e88e5ab90cf5bf07ecd47413c104814c0de3765f933e2d34314864f
images/SyntheticGeometry/syntheticgeometry_22816noise_0.jpeg
null
True
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_22816_triangle_2c13e3cbf6f37fb59156530a3a9d7a9c915aa7bceb30ab48539b799be158e2cf
images/SyntheticGeometry/syntheticgeometry_26571noise_1.jpeg
null
True
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_26571_triangle_c6a65587244258c0610f3ad073f0ca9e0ebd4d28eeec93a395ff52b6f55e4916
images/SyntheticGeometry/syntheticgeometry_14107noise_0.jpeg
null
True
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_14107_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_29788noise_1.jpeg
null
True
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_29788_triangle_14e9f39a0dcfba350f24c8cacf4ce5855280d8a2128d8fc775fa54adf2983401
images/SyntheticGeometry/syntheticgeometry_08001noise_0.jpeg
null
True
null
There is a triangle EHG 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_08001_triangle_01ddeee0be2238fe5faaf1852260f2f477fe3e3e9694413e80b2ac70b6b1fa0b
images/SyntheticGeometry/syntheticgeometry_10259.png
null
True
null
There is a triangle CFA 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_10259_triangle_84e1406fc90fe8aecf443da06245c7fcb10aa4d56182512f0391a9be62eb7e97
images/SyntheticGeometry/syntheticgeometry_44383noise_1.jpeg
null
True
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_44383_triangle_c6a65587244258c0610f3ad073f0ca9e0ebd4d28eeec93a395ff52b6f55e4916
images/SyntheticGeometry/syntheticgeometry_40478noise_0.jpeg
null
True
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_40478_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_28862.png
null
True
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_28862_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_41055noise_0.jpeg
null
True
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_41055_triangle_c3b8923417486b3f094a6306834c900927b8e106d51f76f7a1fc2398a2842283
images/SyntheticGeometry/syntheticgeometry_08151.png
null
True
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_08151_triangle_e9f3d9888c449fdd6ac03b339ba03d4f449e63015c84b74651df93ce560c30dd
images/SyntheticGeometry/syntheticgeometry_21188noise_1.jpeg
null
True
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_21188_triangle_83daea147538b29e588b72b2a26f9469de565266f382ff1cc8a67189c83de3a7
images/SyntheticGeometry/syntheticgeometry_27985noise_0.jpeg
null
True
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_27985_triangle_83daea147538b29e588b72b2a26f9469de565266f382ff1cc8a67189c83de3a7
images/SyntheticGeometry/syntheticgeometry_34143noise_0.jpeg
null
True
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_34143_triangle_c816fe1dfe114c8d60a8d063902fa19e1849b3f9696257de044e98cf5f26e18d
images/SyntheticGeometry/syntheticgeometry_49570noise_0.jpeg
null
True
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_49570_triangle_c82ff0aa8ae02c4eb604d79c0feb47b74c4f828b9a5415b1f04b00d09a0848d6
images/SyntheticGeometry/syntheticgeometry_30025noise_1.jpeg
null
True
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_30025_triangle_83daea147538b29e588b72b2a26f9469de565266f382ff1cc8a67189c83de3a7
images/SyntheticGeometry/syntheticgeometry_24416.png
null
True
null
There is a triangle HAL 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_24416_triangle_82b22d4b5f7ba70141b0985894f35b699d86ab3b86c6672c66054c918fe428cf
images/SyntheticGeometry/syntheticgeometry_41547.png
null
True
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_41547_triangle_c816fe1dfe114c8d60a8d063902fa19e1849b3f9696257de044e98cf5f26e18d
images/SyntheticGeometry/syntheticgeometry_34168noise_1.jpeg
null
True
null
There is a triangle EDF 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_34168_triangle_aeae39f9e328426c1a788f797245dd60d55efba289c6d75858fde95ced1d48c1
images/SyntheticGeometry/syntheticgeometry_13908.png
null
True
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_13908_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_31348noise_1.jpeg
null
True
null
There is a triangle AGB 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_31348_triangle_ccddbc9b8809d62ae278a77d0ffaf44765aa48199c1d9e76ea7aae1067f71cf8
images/SyntheticGeometry/syntheticgeometry_15805.png
null
True
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_15805_triangle_db7e4494381ddc842840e47d20800ba8af4758d829e3fb78cb27c0b9e4045353
images/SyntheticGeometry/syntheticgeometry_41768noise_1.jpeg
null
True
null
There is a triangle FGJ 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_41768_triangle_f5e6102fd9b7579e4d9b3fb3d0c44d3513b2f5c4fc547cf5f52191154e11268a
images/SyntheticGeometry/syntheticgeometry_16531noise_0.jpeg
null
True
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_16531_triangle_e3574c029e88e5ab90cf5bf07ecd47413c104814c0de3765f933e2d34314864f
images/SyntheticGeometry/syntheticgeometry_46079noise_0.jpeg
null
True
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_46079_triangle_e3574c029e88e5ab90cf5bf07ecd47413c104814c0de3765f933e2d34314864f
images/SyntheticGeometry/syntheticgeometry_31319noise_1.jpeg
null
True
null
There is a triangle CGD 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_31319_triangle_7c717fdcda6865e93d42e1dd04093434a95c62684aaf453b92e2f6516f481fd1
images/SyntheticGeometry/syntheticgeometry_02208noise_0.jpeg
null
True
null
There is a triangle HFD 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_02208_triangle_7daab2166b3aa1f5cc5a9b01126c20e7855a2c236b1d569a7370244915065dc0
images/SyntheticGeometry/syntheticgeometry_24829noise_1.jpeg
null
True
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_24829_triangle_e9f3d9888c449fdd6ac03b339ba03d4f449e63015c84b74651df93ce560c30dd
images/SyntheticGeometry/syntheticgeometry_26878.png
null
True
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_26878_triangle_ed7bd156b30ed87625faa6f75f93dfb2feed2c5a4b5ba1ad64906cd6f0ffdf43
images/SyntheticGeometry/syntheticgeometry_21421noise_0.jpeg
null
True
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_21421_triangle_a5c333d30f3fc602cc4cf703089fe4d8ed87b4218b2d8dca7b3a6c8f0bb63a95
images/SyntheticGeometry/syntheticgeometry_25654.png
null
True
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_25654_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_42492noise_1.jpeg
null
True
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_42492_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_20017noise_0.jpeg
null
True
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_20017_triangle_c816fe1dfe114c8d60a8d063902fa19e1849b3f9696257de044e98cf5f26e18d
images/SyntheticGeometry/syntheticgeometry_41755noise_1.jpeg
null
True
null
There is a triangle CFI 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_41755_triangle_071667442bc6c8674ef27aadc8ef801c709dd44b6f5a2da781244d99c5b36ebb
images/SyntheticGeometry/syntheticgeometry_11608noise_0.jpeg
null
True
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_11608_triangle_d6ae5d9891f14406dd39b720de381892ac443584400778d989c1b252bfcf1aa6
images/SyntheticGeometry/syntheticgeometry_36303noise_0.jpeg
null
True
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_36303_triangle_e9f3d9888c449fdd6ac03b339ba03d4f449e63015c84b74651df93ce560c30dd
images/SyntheticGeometry/syntheticgeometry_43043.png
null
True
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_43043_triangle_bef0c8ea1ce526ae046ce3dc1b660907b334abaea52af0be2d5c80d2798b3c41
images/SyntheticGeometry/syntheticgeometry_39702noise_1.jpeg
null
True
null
There is a triangle FDB 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_39702_triangle_60f8739387b4fc9056f7181e744975074fe92c2f3002a9cfca2b3a93ff4c3b38
images/SyntheticGeometry/syntheticgeometry_34456.png
null
True
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_34456_triangle_3ee68f00f4002a53ce9472bc86ae0c05751b429884f8b8457646c56a81c40e41
images/SyntheticGeometry/syntheticgeometry_29162noise_1.jpeg
null
True
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_29162_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_04198noise_0.jpeg
null
True
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_04198_triangle_e9f3d9888c449fdd6ac03b339ba03d4f449e63015c84b74651df93ce560c30dd
images/SyntheticGeometry/syntheticgeometry_29514.png
null
True
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_29514_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_23773noise_0.jpeg
null
True
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_23773_triangle_e9f3d9888c449fdd6ac03b339ba03d4f449e63015c84b74651df93ce560c30dd
images/SyntheticGeometry/syntheticgeometry_29884noise_1.jpeg
null
True
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_29884_triangle_478987d6402515f17f3de9f7ae54e7e47634aef876b035f8a03ef9aeb5ee1fc0
images/SyntheticGeometry/syntheticgeometry_17652noise_0.jpeg
null
True
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_17652_triangle_c82ff0aa8ae02c4eb604d79c0feb47b74c4f828b9a5415b1f04b00d09a0848d6
images/SyntheticGeometry/syntheticgeometry_17054noise_1.jpeg
null
True
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_17054_triangle_14e9f39a0dcfba350f24c8cacf4ce5855280d8a2128d8fc775fa54adf2983401
images/SyntheticGeometry/syntheticgeometry_44329.png
null
True
null
There is a triangle JEH 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_44329_triangle_d26fe5a5d4ff63fe77467a8da12e22d0c073f44d4821e3700f04f79dce0a9c16
images/SyntheticGeometry/syntheticgeometry_15745noise_0.jpeg
null
True
null
There is a triangle AJE 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_15745_triangle_929ac20b69908ca1215766e91f8d47270910481610a046e5e20af12ce8f9da83
images/SyntheticGeometry/syntheticgeometry_04912.png
null
True
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_04912_triangle_3ee68f00f4002a53ce9472bc86ae0c05751b429884f8b8457646c56a81c40e41
images/SyntheticGeometry/syntheticgeometry_15846.png
null
True
null
There is a triangle CFA 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_15846_triangle_84e1406fc90fe8aecf443da06245c7fcb10aa4d56182512f0391a9be62eb7e97
images/SyntheticGeometry/syntheticgeometry_14497noise_1.jpeg
null
True
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_14497_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_39076noise_0.jpeg
null
True
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_39076_triangle_40a12a07b4047a41cb8ef349311ae4d0a2faa58cc55ca98e538403b05b888bf7
images/SyntheticGeometry/syntheticgeometry_27766noise_1.jpeg
null
True
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_27766_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_44351.png
null
True
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_44351_triangle_ae62a92f26f9df287ea6dfa106b2a7a91e2802aefeb9c912e14c2d8c1835b00e
images/SyntheticGeometry/syntheticgeometry_46869noise_0.jpeg
null
True
null
There is a triangle AGB 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_46869_triangle_ccddbc9b8809d62ae278a77d0ffaf44765aa48199c1d9e76ea7aae1067f71cf8
images/SyntheticGeometry/syntheticgeometry_39458noise_0.jpeg
null
True
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_39458_triangle_3ee68f00f4002a53ce9472bc86ae0c05751b429884f8b8457646c56a81c40e41
images/SyntheticGeometry/syntheticgeometry_23006noise_1.jpeg
null
True
null
There is a triangle CDE 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_23006_triangle_d962571c53c3cc52134e131b7b40d9aff76d470cf6e6ab50d57f93bdab52a32e
images/SyntheticGeometry/syntheticgeometry_31043.png
null
True
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_31043_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_41799.png
null
True
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_41799_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_26746noise_1.jpeg
null
True
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_26746_triangle_478987d6402515f17f3de9f7ae54e7e47634aef876b035f8a03ef9aeb5ee1fc0
images/SyntheticGeometry/syntheticgeometry_37945.png
null
True
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_37945_triangle_a5c333d30f3fc602cc4cf703089fe4d8ed87b4218b2d8dca7b3a6c8f0bb63a95
images/SyntheticGeometry/syntheticgeometry_18066noise_1.jpeg
null
True
null
There is a triangle CDE 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_18066_triangle_d962571c53c3cc52134e131b7b40d9aff76d470cf6e6ab50d57f93bdab52a32e
images/SyntheticGeometry/syntheticgeometry_43087noise_0.jpeg
null
True
null
There is a triangle FAH 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_43087_triangle_714567eac36c81d69d968db6850ba7ece2a2c42a632f636b0339d665ff34a68e
images/SyntheticGeometry/syntheticgeometry_25084noise_1.jpeg
null
True
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_25084_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_09932noise_1.jpeg
null
True
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_09932_triangle_5ebb277736b86ae78ff74732ba37f59dc4f76b4e81ae62c9c100e30f04280fd1
images/SyntheticGeometry/syntheticgeometry_03142.png
null
True
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_03142_triangle_e9f3d9888c449fdd6ac03b339ba03d4f449e63015c84b74651df93ce560c30dd
images/SyntheticGeometry/syntheticgeometry_37559noise_0.jpeg
null
True
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_37559_triangle_27ff8eba9fcc29729461286b3a9a5b1f67a0a3a01dde9a5995ceeb4aadae32e2