sample_index stringlengths 1 4 | problem_index stringlengths 1 3 | problem_version stringclasses 5
values | question stringlengths 0 384 | image imagewidth (px) 99 2.18k | answer stringclasses 40
values | question_type stringclasses 2
values | metadata dict | query_wo stringlengths 123 487 | query_cot stringlengths 160 524 | question_for_eval stringlengths 29 384 | _subset_idx int64 0 496 | text_layer1_embedding listlengths 28 817 ⌀ | text_layer-2_embedding listlengths 28 817 ⌀ | image_layer1_embedding listlengths 214 1.02k ⌀ | image_layer-2_embedding listlengths 214 1.02k ⌀ | mm_layer1_embedding listlengths 89 1.02k ⌀ | mm_layer-2_embedding listlengths 89 1.02k ⌀ |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 1 | Text Dominant | As shown in the figure, in triangle ABC, it is known that angle A = 80.0, angle B = 60.0, point D is on AB and point E is on AC, DE parallel BC, then the size of angle CED is ()
Choices:
A:40°
B:60°
C:120°
D:140° | D | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, in triangle ABC, it is known that angle A = 80.0, angle B = 60.0, point D is on AB and point E is on AC, DE parallel BC, then the size of angle CED is ()
Choices:
A:40°
B:60°
C:120°
D:140° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, in triangle ABC, it is known that angle A = 80.0, angle B = 60.0, point D is on AB and point E is on AC, DE parallel BC, then the size of angle CED is ()
Choices:
A:40°
B:60°
C:120°
D:140° | As shown in the figure, in triangle ABC, it is known that angle A = 80.0, angle B = 60.0, point D is on AB and point E is on AC, DE parallel BC, then the size of angle CED is ()
Choices:
A:40°
B:60°
C:120°
D:140° | 0 | null | null | null | null | null | null | |
5 | 1 | Vision Only | D | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | As shown in the figure, DE parallel BC, then the size of angle CED is ()
Choices:
A:40°
B:60°
C:120°
D:140° | 4 | null | null | null | null | null | null | ||
29 | 6 | Vision Dominant | As shown in the figure, AB // CD, then the degree of angle 2 is ()
Choices:
A:50°
B:120°
C:130°
D:150° | C | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, AB // CD, then the degree of angle 2 is ()
Choices:
A:50°
B:120°
C:130°
D:150° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, AB // CD, then the degree of angle 2 is ()
Choices:
A:50°
B:120°
C:130°
D:150° | As shown in the figure, AB // CD, then the degree of angle 2 is ()
Choices:
A:50°
B:120°
C:130°
D:150° | 8 | null | null | null | null | null | null | |
178 | 36 | Vision Intensive | As shown in the figure, If angle D = 50.0, then the degree of angle A is ()
Choices:
A:20°
B:25°
C:.40°
D:50° | A | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, If angle D = 50.0, then the degree of angle A is ()
Choices:
A:20°
B:25°
C:.40°
D:50° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, If angle D = 50.0, then the degree of angle A is ()
Choices:
A:20°
B:25°
C:.40°
D:50° | As shown in the figure, If angle D = 50.0, then the degree of angle A is ()
Choices:
A:20°
B:25°
C:.40°
D:50° | 12 | null | null | null | null | null | null | |
182 | 37 | Text Lite | As shown in the figure, AB parallel CD, AO = PO, the degree of angle A is ()
Choices:
A:25°
B:35°
C:15°
D:50° | A | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, AB parallel CD, AO = PO, the degree of angle A is ()
Choices:
A:25°
B:35°
C:15°
D:50° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, AB parallel CD, AO = PO, the degree of angle A is ()
Choices:
A:25°
B:35°
C:15°
D:50° | As shown in the figure, AB parallel CD, AO = PO, the degree of angle A is ()
Choices:
A:25°
B:35°
C:15°
D:50° | 16 | null | null | null | null | null | null | |
251 | 51 | Text Dominant | As shown in the figure, the points B, E, C, and F are on the same straight line, triangle ABC congruent triangle DEF, angle B = 45.0, angle F = 65.0, then the degree of angle COE is ()
Choices:
A:40°
B:60°
C:70°
D:100° | C | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, the points B, E, C, and F are on the same straight line, triangle ABC congruent triangle DEF, angle B = 45.0, angle F = 65.0, then the degree of angle COE is ()
Choices:
A:40°
B:60°
C:70°
D:100° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, the points B, E, C, and F are on the same straight line, triangle ABC congruent triangle DEF, angle B = 45.0, angle F = 65.0, then the degree of angle COE is ()
Choices:
A:40°
B:60°
C:70°
D:100° | As shown in the figure, the points B, E, C, and F are on the same straight line, triangle ABC congruent triangle DEF, angle B = 45.0, angle F = 65.0, then the degree of angle COE is ()
Choices:
A:40°
B:60°
C:70°
D:100° | 20 | null | null | null | null | null | null | |
255 | 51 | Vision Only | C | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | As shown in the figure, triangle ABC congruent triangle DEF, then the degree of angle COE is ()
Choices:
A:40°
B:60°
C:70°
D:100° | 24 | null | null | null | null | null | null | ||
299 | 60 | Vision Dominant | As shown in the figure, AB parallel CD, then the degree of angle 1 is ()
Choices:
A:30°
B:45°
C:60°
D:75° | B | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, AB parallel CD, then the degree of angle 1 is ()
Choices:
A:30°
B:45°
C:60°
D:75° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, AB parallel CD, then the degree of angle 1 is ()
Choices:
A:30°
B:45°
C:60°
D:75° | As shown in the figure, AB parallel CD, then the degree of angle 1 is ()
Choices:
A:30°
B:45°
C:60°
D:75° | 28 | null | null | null | null | null | null | |
303 | 61 | Vision Intensive | As shown in the figure, angle D = 74.0, then the degree of angle B is ()
Choices:
A:74°
B:32°
C:22°
D:16° | B | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, angle D = 74.0, then the degree of angle B is ()
Choices:
A:74°
B:32°
C:22°
D:16° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, angle D = 74.0, then the degree of angle B is ()
Choices:
A:74°
B:32°
C:22°
D:16° | As shown in the figure, angle D = 74.0, then the degree of angle B is ()
Choices:
A:74°
B:32°
C:22°
D:16° | 32 | null | null | null | null | null | null | |
327 | 66 | Text Lite | As shown in the figure, AB parallel CD, angle B = 20.0, angle D = 60.0, then the degree of angle BED is ()
Choices:
A:40°
B:80°
C:90°
D:l00° | B | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, AB parallel CD, angle B = 20.0, angle D = 60.0, then the degree of angle BED is ()
Choices:
A:40°
B:80°
C:90°
D:l00° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, AB parallel CD, angle B = 20.0, angle D = 60.0, then the degree of angle BED is ()
Choices:
A:40°
B:80°
C:90°
D:l00° | As shown in the figure, AB parallel CD, angle B = 20.0, angle D = 60.0, then the degree of angle BED is ()
Choices:
A:40°
B:80°
C:90°
D:l00° | 36 | null | null | null | null | null | null | |
341 | 69 | Text Dominant | As shown in the figure, the straight line a parallel b, angle 2 = 35.0, angle 3 = 40.0, then the degree of angle 1 is ()
Choices:
A:75°
B:105°
C:140°
D:145° | B | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, the straight line a parallel b, angle 2 = 35.0, angle 3 = 40.0, then the degree of angle 1 is ()
Choices:
A:75°
B:105°
C:140°
D:145° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, the straight line a parallel b, angle 2 = 35.0, angle 3 = 40.0, then the degree of angle 1 is ()
Choices:
A:75°
B:105°
C:140°
D:145° | As shown in the figure, the straight line a parallel b, angle 2 = 35.0, angle 3 = 40.0, then the degree of angle 1 is ()
Choices:
A:75°
B:105°
C:140°
D:145° | 40 | null | null | null | null | null | null | |
345 | 69 | Vision Only | B | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | As shown in the figure, the straight line a parallel b, then the degree of angle 1 is ()
Choices:
A:75°
B:105°
C:140°
D:145° | 44 | null | null | null | null | null | null | ||
349 | 70 | Vision Dominant | As shown in the figure, BD is the angular bisector of triangle ABC, then the degree of angle CDE is ()
Choices:
A:35°
B:40°
C:45°
D:50° | C | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, BD is the angular bisector of triangle ABC, then the degree of angle CDE is ()
Choices:
A:35°
B:40°
C:45°
D:50° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, BD is the angular bisector of triangle ABC, then the degree of angle CDE is ()
Choices:
A:35°
B:40°
C:45°
D:50° | As shown in the figure, BD is the angular bisector of triangle ABC, then the degree of angle CDE is ()
Choices:
A:35°
B:40°
C:45°
D:50° | 48 | null | null | null | null | null | null | |
368 | 74 | Vision Intensive | As shown in the figure, if angle 1 = 115.0, then the degree of angle 2 is ()
Choices:
A:55°
B:65°
C:75°
D:85° | B | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, if angle 1 = 115.0, then the degree of angle 2 is ()
Choices:
A:55°
B:65°
C:75°
D:85° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, if angle 1 = 115.0, then the degree of angle 2 is ()
Choices:
A:55°
B:65°
C:75°
D:85° | As shown in the figure, if angle 1 = 115.0, then the degree of angle 2 is ()
Choices:
A:55°
B:65°
C:75°
D:85° | 52 | null | null | null | null | null | null | |
372 | 75 | Text Lite | As shown in the figure, a // b, angle 1 = 42.0, then the degree of angle 2 is ()
Choices:
A:46°
B:48°
C:56°
D:72° | B | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, a // b, angle 1 = 42.0, then the degree of angle 2 is ()
Choices:
A:46°
B:48°
C:56°
D:72° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, a // b, angle 1 = 42.0, then the degree of angle 2 is ()
Choices:
A:46°
B:48°
C:56°
D:72° | As shown in the figure, a // b, angle 1 = 42.0, then the degree of angle 2 is ()
Choices:
A:46°
B:48°
C:56°
D:72° | 56 | null | null | null | null | null | null | |
376 | 76 | Text Dominant | As shown in the figure, a parallel b, point B is on the straight line b, and AB perpendicular BC, angle 1 = 36.0, then angle 2 = ()
Choices:
A:54°
B:56°
C:44°
D:46° | A | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, a parallel b, point B is on the straight line b, and AB perpendicular BC, angle 1 = 36.0, then angle 2 = ()
Choices:
A:54°
B:56°
C:44°
D:46° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, a parallel b, point B is on the straight line b, and AB perpendicular BC, angle 1 = 36.0, then angle 2 = ()
Choices:
A:54°
B:56°
C:44°
D:46° | As shown in the figure, a parallel b, point B is on the straight line b, and AB perpendicular BC, angle 1 = 36.0, then angle 2 = ()
Choices:
A:54°
B:56°
C:44°
D:46° | 60 | null | null | null | null | null | null | |
380 | 76 | Vision Only | A | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | As shown in the figure, a parallel b, then angle 2 = ()
Choices:
A:54°
B:56°
C:44°
D:46° | 64 | null | null | null | null | null | null | ||
419 | 84 | Vision Dominant | As shown in the figure, then the length of BC is ()
Choices:
A:2
B:2√{3}
C:√{3}
D:2√{2} | C | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, then the length of BC is ()
Choices:
A:2
B:2√{3}
C:√{3}
D:2√{2} | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, then the length of BC is ()
Choices:
A:2
B:2√{3}
C:√{3}
D:2√{2} | As shown in the figure, then the length of BC is ()
Choices:
A:2
B:2√{3}
C:√{3}
D:2√{2} | 68 | null | null | null | null | null | null | |
433 | 87 | Vision Intensive | As shown in the figure, arc DE is the arc of 50.0, then angle BOC is ()
Choices:
A:115°
B:100°
C:80°
D:50° | A | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, arc DE is the arc of 50.0, then angle BOC is ()
Choices:
A:115°
B:100°
C:80°
D:50° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, arc DE is the arc of 50.0, then angle BOC is ()
Choices:
A:115°
B:100°
C:80°
D:50° | As shown in the figure, arc DE is the arc of 50.0, then angle BOC is ()
Choices:
A:115°
B:100°
C:80°
D:50° | 72 | null | null | null | null | null | null | |
467 | 94 | Text Lite | As shown in the figure, angle CAO = 22.5, OC = 6.0, then the length of CD is ()
Choices:
A:6√{2}
B:3√{2}
C:6
D:12 | A | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, angle CAO = 22.5, OC = 6.0, then the length of CD is ()
Choices:
A:6√{2}
B:3√{2}
C:6
D:12 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, angle CAO = 22.5, OC = 6.0, then the length of CD is ()
Choices:
A:6√{2}
B:3√{2}
C:6
D:12 | As shown in the figure, angle CAO = 22.5, OC = 6.0, then the length of CD is ()
Choices:
A:6√{2}
B:3√{2}
C:6
D:12 | 76 | null | null | null | null | null | null | |
526 | 106 | Text Dominant | This question examines the theorem of angle of circumference, the key is to answer it based on the relationship between the central angle and the angle of circumference of the same chord. 4.0. As shown in the figure, AB is the diameter of circle O, C is the point on circle O (except A and B), angle AOD = 136.0, then the degree of angle C is ()
Choices:
A:44°
B:22°
C:46°
D:36° | B | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: This question examines the theorem of angle of circumference, the key is to answer it based on the relationship between the central angle and the angle of circumference of the same chord. 4.0. As shown in the figure, AB is the diameter of circle O, C is the point on circle O (except A and B), angle AOD = 136.0, then the degree of angle C is ()
Choices:
A:44°
B:22°
C:46°
D:36° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: This question examines the theorem of angle of circumference, the key is to answer it based on the relationship between the central angle and the angle of circumference of the same chord. 4.0. As shown in the figure, AB is the diameter of circle O, C is the point on circle O (except A and B), angle AOD = 136.0, then the degree of angle C is ()
Choices:
A:44°
B:22°
C:46°
D:36° | This question examines the theorem of angle of circumference, the key is to answer it based on the relationship between the central angle and the angle of circumference of the same chord. 4.0. As shown in the figure, AB is the diameter of circle O, C is the point on circle O (except A and B), angle AOD = 136.0, then the degree of angle C is ()
Choices:
A:44°
B:22°
C:46°
D:36° | 80 | null | null | null | null | null | null | |
530 | 106 | Vision Only | B | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | then the degree of angle C is ()
Choices:
A:44°
B:22°
C:46°
D:36° | 84 | null | null | null | null | null | null | ||
539 | 108 | Vision Dominant | so the width of the water surface AB is ()
Choices:
A:4m
B:5m
C:6m
D:8m | D | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Applied"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: so the width of the water surface AB is ()
Choices:
A:4m
B:5m
C:6m
D:8m | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: so the width of the water surface AB is ()
Choices:
A:4m
B:5m
C:6m
D:8m | so the width of the water surface AB is ()
Choices:
A:4m
B:5m
C:6m
D:8m | 88 | null | null | null | null | null | null | |
553 | 111 | Vision Intensive | angle CAB = 90.0, angle ABC = 72.0, then the degree of angle ECD is ()
Choices:
A:63°
B:45°
C:27°
D:18° | C | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: angle CAB = 90.0, angle ABC = 72.0, then the degree of angle ECD is ()
Choices:
A:63°
B:45°
C:27°
D:18° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: angle CAB = 90.0, angle ABC = 72.0, then the degree of angle ECD is ()
Choices:
A:63°
B:45°
C:27°
D:18° | angle CAB = 90.0, angle ABC = 72.0, then the degree of angle ECD is ()
Choices:
A:63°
B:45°
C:27°
D:18° | 92 | null | null | null | null | null | null | |
582 | 117 | Text Lite | Use a sector piece of paper with a central angle of 120.0 and a radius of 3.0, then the height of the paper is ()
Choices:
A:3cm
B:2√{2}cm
C:3√{2}cm
D:4√{2}cm | B | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Applied"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Use a sector piece of paper with a central angle of 120.0 and a radius of 3.0, then the height of the paper is ()
Choices:
A:3cm
B:2√{2}cm
C:3√{2}cm
D:4√{2}cm | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Use a sector piece of paper with a central angle of 120.0 and a radius of 3.0, then the height of the paper is ()
Choices:
A:3cm
B:2√{2}cm
C:3√{2}cm
D:4√{2}cm | Use a sector piece of paper with a central angle of 120.0 and a radius of 3.0, then the height of the paper is ()
Choices:
A:3cm
B:2√{2}cm
C:3√{2}cm
D:4√{2}cm | 96 | null | null | null | null | null | null | |
1 | 1 | Text Dominant | As shown in the figure, in triangle ABC, it is known that angle A = 80.0, angle B = 60.0, point D is on AB and point E is on AC, DE parallel BC, then the size of angle CED is ()
Choices:
A:40°
B:60°
C:120°
D:140° | D | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, in triangle ABC, it is known that angle A = 80.0, angle B = 60.0, point D is on AB and point E is on AC, DE parallel BC, then the size of angle CED is ()
Choices:
A:40°
B:60°
C:120°
D:140° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, in triangle ABC, it is known that angle A = 80.0, angle B = 60.0, point D is on AB and point E is on AC, DE parallel BC, then the size of angle CED is ()
Choices:
A:40°
B:60°
C:120°
D:140° | As shown in the figure, in triangle ABC, it is known that angle A = 80.0, angle B = 60.0, point D is on AB and point E is on AC, DE parallel BC, then the size of angle CED is ()
Choices:
A:40°
B:60°
C:120°
D:140° | 0 | null | null | null | null | null | null | |
5 | 1 | Vision Only | D | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | As shown in the figure, DE parallel BC, then the size of angle CED is ()
Choices:
A:40°
B:60°
C:120°
D:140° | 4 | null | null | null | null | null | null | ||
29 | 6 | Vision Dominant | As shown in the figure, AB // CD, then the degree of angle 2 is ()
Choices:
A:50°
B:120°
C:130°
D:150° | C | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, AB // CD, then the degree of angle 2 is ()
Choices:
A:50°
B:120°
C:130°
D:150° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, AB // CD, then the degree of angle 2 is ()
Choices:
A:50°
B:120°
C:130°
D:150° | As shown in the figure, AB // CD, then the degree of angle 2 is ()
Choices:
A:50°
B:120°
C:130°
D:150° | 8 | null | null | null | null | null | null | |
178 | 36 | Vision Intensive | As shown in the figure, If angle D = 50.0, then the degree of angle A is ()
Choices:
A:20°
B:25°
C:.40°
D:50° | A | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, If angle D = 50.0, then the degree of angle A is ()
Choices:
A:20°
B:25°
C:.40°
D:50° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, If angle D = 50.0, then the degree of angle A is ()
Choices:
A:20°
B:25°
C:.40°
D:50° | As shown in the figure, If angle D = 50.0, then the degree of angle A is ()
Choices:
A:20°
B:25°
C:.40°
D:50° | 12 | null | null | null | null | null | null | |
182 | 37 | Text Lite | As shown in the figure, AB parallel CD, AO = PO, the degree of angle A is ()
Choices:
A:25°
B:35°
C:15°
D:50° | A | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, AB parallel CD, AO = PO, the degree of angle A is ()
Choices:
A:25°
B:35°
C:15°
D:50° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, AB parallel CD, AO = PO, the degree of angle A is ()
Choices:
A:25°
B:35°
C:15°
D:50° | As shown in the figure, AB parallel CD, AO = PO, the degree of angle A is ()
Choices:
A:25°
B:35°
C:15°
D:50° | 16 | null | null | null | null | null | null | |
251 | 51 | Text Dominant | As shown in the figure, the points B, E, C, and F are on the same straight line, triangle ABC congruent triangle DEF, angle B = 45.0, angle F = 65.0, then the degree of angle COE is ()
Choices:
A:40°
B:60°
C:70°
D:100° | C | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, the points B, E, C, and F are on the same straight line, triangle ABC congruent triangle DEF, angle B = 45.0, angle F = 65.0, then the degree of angle COE is ()
Choices:
A:40°
B:60°
C:70°
D:100° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, the points B, E, C, and F are on the same straight line, triangle ABC congruent triangle DEF, angle B = 45.0, angle F = 65.0, then the degree of angle COE is ()
Choices:
A:40°
B:60°
C:70°
D:100° | As shown in the figure, the points B, E, C, and F are on the same straight line, triangle ABC congruent triangle DEF, angle B = 45.0, angle F = 65.0, then the degree of angle COE is ()
Choices:
A:40°
B:60°
C:70°
D:100° | 20 | null | null | null | null | null | null | |
255 | 51 | Vision Only | C | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | As shown in the figure, triangle ABC congruent triangle DEF, then the degree of angle COE is ()
Choices:
A:40°
B:60°
C:70°
D:100° | 24 | null | null | null | null | null | null | ||
299 | 60 | Vision Dominant | As shown in the figure, AB parallel CD, then the degree of angle 1 is ()
Choices:
A:30°
B:45°
C:60°
D:75° | B | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, AB parallel CD, then the degree of angle 1 is ()
Choices:
A:30°
B:45°
C:60°
D:75° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, AB parallel CD, then the degree of angle 1 is ()
Choices:
A:30°
B:45°
C:60°
D:75° | As shown in the figure, AB parallel CD, then the degree of angle 1 is ()
Choices:
A:30°
B:45°
C:60°
D:75° | 28 | null | null | null | null | null | null | |
303 | 61 | Vision Intensive | As shown in the figure, angle D = 74.0, then the degree of angle B is ()
Choices:
A:74°
B:32°
C:22°
D:16° | B | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, angle D = 74.0, then the degree of angle B is ()
Choices:
A:74°
B:32°
C:22°
D:16° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, angle D = 74.0, then the degree of angle B is ()
Choices:
A:74°
B:32°
C:22°
D:16° | As shown in the figure, angle D = 74.0, then the degree of angle B is ()
Choices:
A:74°
B:32°
C:22°
D:16° | 32 | null | null | null | null | null | null | |
327 | 66 | Text Lite | As shown in the figure, AB parallel CD, angle B = 20.0, angle D = 60.0, then the degree of angle BED is ()
Choices:
A:40°
B:80°
C:90°
D:l00° | B | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, AB parallel CD, angle B = 20.0, angle D = 60.0, then the degree of angle BED is ()
Choices:
A:40°
B:80°
C:90°
D:l00° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, AB parallel CD, angle B = 20.0, angle D = 60.0, then the degree of angle BED is ()
Choices:
A:40°
B:80°
C:90°
D:l00° | As shown in the figure, AB parallel CD, angle B = 20.0, angle D = 60.0, then the degree of angle BED is ()
Choices:
A:40°
B:80°
C:90°
D:l00° | 36 | null | null | null | null | null | null | |
341 | 69 | Text Dominant | As shown in the figure, the straight line a parallel b, angle 2 = 35.0, angle 3 = 40.0, then the degree of angle 1 is ()
Choices:
A:75°
B:105°
C:140°
D:145° | B | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, the straight line a parallel b, angle 2 = 35.0, angle 3 = 40.0, then the degree of angle 1 is ()
Choices:
A:75°
B:105°
C:140°
D:145° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, the straight line a parallel b, angle 2 = 35.0, angle 3 = 40.0, then the degree of angle 1 is ()
Choices:
A:75°
B:105°
C:140°
D:145° | As shown in the figure, the straight line a parallel b, angle 2 = 35.0, angle 3 = 40.0, then the degree of angle 1 is ()
Choices:
A:75°
B:105°
C:140°
D:145° | 40 | null | null | null | null | null | null | |
345 | 69 | Vision Only | B | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | As shown in the figure, the straight line a parallel b, then the degree of angle 1 is ()
Choices:
A:75°
B:105°
C:140°
D:145° | 44 | null | null | null | null | null | null | ||
349 | 70 | Vision Dominant | As shown in the figure, BD is the angular bisector of triangle ABC, then the degree of angle CDE is ()
Choices:
A:35°
B:40°
C:45°
D:50° | C | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, BD is the angular bisector of triangle ABC, then the degree of angle CDE is ()
Choices:
A:35°
B:40°
C:45°
D:50° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, BD is the angular bisector of triangle ABC, then the degree of angle CDE is ()
Choices:
A:35°
B:40°
C:45°
D:50° | As shown in the figure, BD is the angular bisector of triangle ABC, then the degree of angle CDE is ()
Choices:
A:35°
B:40°
C:45°
D:50° | 48 | null | null | null | null | null | null | |
706 | 142 | Text Dominant | As shown in the figure: the length of two vertical telephone poles AB is 6.0, the length of CD is 3.0, AD intersects BC at point E, then the length of the distance from E to the ground EF is ()
Choices:
A:2
B:2.2
C:2.4
D:2.5 | A | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Applied"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure: the length of two vertical telephone poles AB is 6.0, the length of CD is 3.0, AD intersects BC at point E, then the length of the distance from E to the ground EF is ()
Choices:
A:2
B:2.2
C:2.4
D:2.5 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure: the length of two vertical telephone poles AB is 6.0, the length of CD is 3.0, AD intersects BC at point E, then the length of the distance from E to the ground EF is ()
Choices:
A:2
B:2.2
C:2.4
D:2.5 | As shown in the figure: the length of two vertical telephone poles AB is 6.0, the length of CD is 3.0, AD intersects BC at point E, then the length of the distance from E to the ground EF is ()
Choices:
A:2
B:2.2
C:2.4
D:2.5 | 100 | null | null | null | null | null | null | |
710 | 142 | Vision Only | A | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Applied"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | As shown in the figure: then the length of the distance from E to the ground EF is ()
Choices:
A:2
B:2.2
C:2.4
D:2.5 | 104 | null | null | null | null | null | null | ||
744 | 149 | Vision Dominant | As shown in the figure, AC perpendicular CD, BD perpendicular CD, then the length of the line segment ED is ()
Choices:
A:\frac{20}{3}
B:\frac{10}{3}
C:7
D:\frac{14}{3} | A | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Applied"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, AC perpendicular CD, BD perpendicular CD, then the length of the line segment ED is ()
Choices:
A:\frac{20}{3}
B:\frac{10}{3}
C:7
D:\frac{14}{3} | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, AC perpendicular CD, BD perpendicular CD, then the length of the line segment ED is ()
Choices:
A:\frac{20}{3}
B:\frac{10}{3}
C:7
D:\frac{14}{3} | As shown in the figure, AC perpendicular CD, BD perpendicular CD, then the length of the line segment ED is ()
Choices:
A:\frac{20}{3}
B:\frac{10}{3}
C:7
D:\frac{14}{3} | 108 | null | null | null | null | null | null | |
788 | 158 | Vision Intensive | As shown in the figure, AC = 4.0, BC = 3.0, then the value of sinB is equal to ()
Choices:
A:\frac{4}{3}
B:\frac{3}{4}
C:\frac{4}{5}
D:\frac{3}{5} | C | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, AC = 4.0, BC = 3.0, then the value of sinB is equal to ()
Choices:
A:\frac{4}{3}
B:\frac{3}{4}
C:\frac{4}{5}
D:\frac{3}{5} | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, AC = 4.0, BC = 3.0, then the value of sinB is equal to ()
Choices:
A:\frac{4}{3}
B:\frac{3}{4}
C:\frac{4}{5}
D:\frac{3}{5} | As shown in the figure, AC = 4.0, BC = 3.0, then the value of sinB is equal to ()
Choices:
A:\frac{4}{3}
B:\frac{3}{4}
C:\frac{4}{5}
D:\frac{3}{5} | 112 | null | null | null | null | null | null | |
817 | 164 | Text Lite | As shown in the figure, angle C = Rtangle , AB = 5.0, AC = 4.0, then the value of sinA is ()
Choices:
A:\frac{3}{4}
B:\frac{4}{5}
C:\frac{3}{5}
D:\frac{5}{3} | C | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, angle C = Rtangle , AB = 5.0, AC = 4.0, then the value of sinA is ()
Choices:
A:\frac{3}{4}
B:\frac{4}{5}
C:\frac{3}{5}
D:\frac{5}{3} | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, angle C = Rtangle , AB = 5.0, AC = 4.0, then the value of sinA is ()
Choices:
A:\frac{3}{4}
B:\frac{4}{5}
C:\frac{3}{5}
D:\frac{5}{3} | As shown in the figure, angle C = Rtangle , AB = 5.0, AC = 4.0, then the value of sinA is ()
Choices:
A:\frac{3}{4}
B:\frac{4}{5}
C:\frac{3}{5}
D:\frac{5}{3} | 116 | null | null | null | null | null | null | |
831 | 167 | Text Dominant | As shown in the figure: In Rttriangle ABC, angle C = 90.0, AC = 8.0, AB = 10.0, then the value of sinB is equal to ()
Choices:
A:\frac{3}{5}
B:\frac{4}{5}
C:\frac{3}{4}
D:\frac{4}{3} | B | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure: In Rttriangle ABC, angle C = 90.0, AC = 8.0, AB = 10.0, then the value of sinB is equal to ()
Choices:
A:\frac{3}{5}
B:\frac{4}{5}
C:\frac{3}{4}
D:\frac{4}{3} | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure: In Rttriangle ABC, angle C = 90.0, AC = 8.0, AB = 10.0, then the value of sinB is equal to ()
Choices:
A:\frac{3}{5}
B:\frac{4}{5}
C:\frac{3}{4}
D:\frac{4}{3} | As shown in the figure: In Rttriangle ABC, angle C = 90.0, AC = 8.0, AB = 10.0, then the value of sinB is equal to ()
Choices:
A:\frac{3}{5}
B:\frac{4}{5}
C:\frac{3}{4}
D:\frac{4}{3} | 120 | null | null | null | null | null | null | |
835 | 167 | Vision Only | B | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | As shown in the figure: then the value of sinB is equal to ()
Choices:
A:\frac{3}{5}
B:\frac{4}{5}
C:\frac{3}{4}
D:\frac{4}{3} | 124 | null | null | null | null | null | null | ||
839 | 168 | Vision Dominant | As shown in the figure, then the value of tanα is ()
Choices:
A:\frac{2}{3}
B:\frac{3}{2}
C:\frac{2√{13}}{13}
D:\frac{3√{13}}{13} | B | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, then the value of tanα is ()
Choices:
A:\frac{2}{3}
B:\frac{3}{2}
C:\frac{2√{13}}{13}
D:\frac{3√{13}}{13} | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, then the value of tanα is ()
Choices:
A:\frac{2}{3}
B:\frac{3}{2}
C:\frac{2√{13}}{13}
D:\frac{3√{13}}{13} | As shown in the figure, then the value of tanα is ()
Choices:
A:\frac{2}{3}
B:\frac{3}{2}
C:\frac{2√{13}}{13}
D:\frac{3√{13}}{13} | 128 | null | null | null | null | null | null | |
943 | 189 | Vision Intensive | As shown in the figure, AB, AC, and BD are the tangents of circle O, and the tangent points are P, C, and D respectively. If AB = 5.0, AC = 3.0, then the length of BD is ()
Choices:
A:1.5
B:2
C:2.5
D:3 | B | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, AB, AC, and BD are the tangents of circle O, and the tangent points are P, C, and D respectively. If AB = 5.0, AC = 3.0, then the length of BD is ()
Choices:
A:1.5
B:2
C:2.5
D:3 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, AB, AC, and BD are the tangents of circle O, and the tangent points are P, C, and D respectively. If AB = 5.0, AC = 3.0, then the length of BD is ()
Choices:
A:1.5
B:2
C:2.5
D:3 | As shown in the figure, AB, AC, and BD are the tangents of circle O, and the tangent points are P, C, and D respectively. If AB = 5.0, AC = 3.0, then the length of BD is ()
Choices:
A:1.5
B:2
C:2.5
D:3 | 132 | null | null | null | null | null | null | |
952 | 191 | Text Lite | As shown in the figure, and the tangent line of circle O passing through point A intersects the extended line of OC at point P, angle B = 30.0, OP = 3.0, then the length of AP is ()
Choices:
A:3
B:\frac{3}{2}
C:\frac{2}{3}√{3}
D:\frac{3}{2}√{3} | D | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, and the tangent line of circle O passing through point A intersects the extended line of OC at point P, angle B = 30.0, OP = 3.0, then the length of AP is ()
Choices:
A:3
B:\frac{3}{2}
C:\frac{2}{3}√{3}
D:\frac{3}{2}√{3} | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, and the tangent line of circle O passing through point A intersects the extended line of OC at point P, angle B = 30.0, OP = 3.0, then the length of AP is ()
Choices:
A:3
B:\frac{3}{2}
C:\frac{2}{3}√{3}
D:\frac{3}{2}√{3} | As shown in the figure, and the tangent line of circle O passing through point A intersects the extended line of OC at point P, angle B = 30.0, OP = 3.0, then the length of AP is ()
Choices:
A:3
B:\frac{3}{2}
C:\frac{2}{3}√{3}
D:\frac{3}{2}√{3} | 136 | null | null | null | null | null | null | |
991 | 199 | Text Dominant | Circle O has a radius of 13 inches, which is the length of O C. Radius O B is perpendicular at point X to chord C D which is 24 inches long. Find O X.
Choices:
A:5
B:12
C:13
D:26 | A | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Circle O has a radius of 13 inches, which is the length of O C. Radius O B is perpendicular at point X to chord C D which is 24 inches long. Find O X.
Choices:
A:5
B:12
C:13
D:26 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Circle O has a radius of 13 inches, which is the length of O C. Radius O B is perpendicular at point X to chord C D which is 24 inches long. Find O X.
Choices:
A:5
B:12
C:13
D:26 | Circle O has a radius of 13 inches, which is the length of O C. Radius O B is perpendicular at point X to chord C D which is 24 inches long. Find O X.
Choices:
A:5
B:12
C:13
D:26 | 140 | null | null | null | null | null | null | |
995 | 199 | Vision Only | A | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Length"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | Find O X.
Choices:
A:5
B:12
C:13
D:26 | 144 | null | null | null | null | null | null | ||
1024 | 205 | Vision Dominant | Find y.
Choices:
A:21
B:21 \sqrt { 2 }
C:21 \sqrt { 3 }
D:42 | C | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Find y.
Choices:
A:21
B:21 \sqrt { 2 }
C:21 \sqrt { 3 }
D:42 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Find y.
Choices:
A:21
B:21 \sqrt { 2 }
C:21 \sqrt { 3 }
D:42 | Find y.
Choices:
A:21
B:21 \sqrt { 2 }
C:21 \sqrt { 3 }
D:42 | 148 | null | null | null | null | null | null | |
1033 | 207 | Vision Intensive | Find the area of the shaded region. Round to the nearest tenth.
Choices:
A:104.7
B:157.1
C:235.6
D:314.2 | B | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Area"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Find the area of the shaded region. Round to the nearest tenth.
Choices:
A:104.7
B:157.1
C:235.6
D:314.2 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Find the area of the shaded region. Round to the nearest tenth.
Choices:
A:104.7
B:157.1
C:235.6
D:314.2 | Find the area of the shaded region. Round to the nearest tenth.
Choices:
A:104.7
B:157.1
C:235.6
D:314.2 | 152 | null | null | null | null | null | null | |
1097 | 220 | Text Lite | \angle A G C is 60 degrees. Find m \angle B G E.
Choices:
A:60
B:120
C:240
D:360 | A | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: \angle A G C is 60 degrees. Find m \angle B G E.
Choices:
A:60
B:120
C:240
D:360 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: \angle A G C is 60 degrees. Find m \angle B G E.
Choices:
A:60
B:120
C:240
D:360 | \angle A G C is 60 degrees. Find m \angle B G E.
Choices:
A:60
B:120
C:240
D:360 | 156 | null | null | null | null | null | null | |
1106 | 222 | Text Dominant | For the pair of similar figures in blue and green, use the given areas to find x.
Choices:
A:1
B:2
C:8
D:16 | C | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: For the pair of similar figures in blue and green, use the given areas to find x.
Choices:
A:1
B:2
C:8
D:16 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: For the pair of similar figures in blue and green, use the given areas to find x.
Choices:
A:1
B:2
C:8
D:16 | For the pair of similar figures in blue and green, use the given areas to find x.
Choices:
A:1
B:2
C:8
D:16 | 160 | null | null | null | null | null | null | |
1110 | 222 | Vision Only | C | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Length"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | For the pair of similar figures, use the given areas to find x.
Choices:
A:1
B:2
C:8
D:16 | 164 | null | null | null | null | null | null | ||
1164 | 233 | Vision Dominant | In isosceles triangle R S T, find m \angle R S T.
Choices:
A:55
B:70
C:75
D:80 | A | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In isosceles triangle R S T, find m \angle R S T.
Choices:
A:55
B:70
C:75
D:80 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In isosceles triangle R S T, find m \angle R S T.
Choices:
A:55
B:70
C:75
D:80 | In isosceles triangle R S T, find m \angle R S T.
Choices:
A:55
B:70
C:75
D:80 | 168 | null | null | null | null | null | null | |
1198 | 240 | Vision Intensive | Find the value of the variable y in the figure.
Choices:
A:10
B:20
C:30
D:70 | A | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Find the value of the variable y in the figure.
Choices:
A:10
B:20
C:30
D:70 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Find the value of the variable y in the figure.
Choices:
A:10
B:20
C:30
D:70 | Find the value of the variable y in the figure.
Choices:
A:10
B:20
C:30
D:70 | 172 | null | null | null | null | null | null | |
1227 | 246 | Text Lite | Find the circumference of the figure. Round to the nearest tenth.
Choices:
A:18.6
B:19.5
C:37.7
D:39.0 | B | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Find the circumference of the figure. Round to the nearest tenth.
Choices:
A:18.6
B:19.5
C:37.7
D:39.0 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Find the circumference of the figure. Round to the nearest tenth.
Choices:
A:18.6
B:19.5
C:37.7
D:39.0 | Find the circumference of the figure. Round to the nearest tenth.
Choices:
A:18.6
B:19.5
C:37.7
D:39.0 | 176 | null | null | null | null | null | null | |
1246 | 250 | Text Dominant | J K L M is a rectangle. M L P R is a rhombus. Connect M K and connect M P. \angle J M K \cong \angle R M P, m \angle J M K = 55, and m \angle M R P = 70. Find m \angle K L P.
Choices:
A:20
B:110
C:140
D:160 | D | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: J K L M is a rectangle. M L P R is a rhombus. Connect M K and connect M P. \angle J M K \cong \angle R M P, m \angle J M K = 55, and m \angle M R P = 70. Find m \angle K L P.
Choices:
A:20
B:110
C:140
D:160 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: J K L M is a rectangle. M L P R is a rhombus. Connect M K and connect M P. \angle J M K \cong \angle R M P, m \angle J M K = 55, and m \angle M R P = 70. Find m \angle K L P.
Choices:
A:20
B:110
C:140
D:160 | J K L M is a rectangle. M L P R is a rhombus. Connect M K and connect M P. \angle J M K \cong \angle R M P, m \angle J M K = 55, and m \angle M R P = 70. Find m \angle K L P.
Choices:
A:20
B:110
C:140
D:160 | 180 | null | null | null | null | null | null | |
1250 | 250 | Vision Only | D | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Angle"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | \angle J M K \cong \angle R M P. Find m \angle K L P.
Choices:
A:20
B:110
C:140
D:160 | 184 | null | null | null | null | null | null | ||
1254 | 251 | Vision Dominant | Find x. Round the angle measure to the nearest degree.
Choices:
A:98
B:103
C:108
D:113 | A | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Find x. Round the angle measure to the nearest degree.
Choices:
A:98
B:103
C:108
D:113 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Find x. Round the angle measure to the nearest degree.
Choices:
A:98
B:103
C:108
D:113 | Find x. Round the angle measure to the nearest degree.
Choices:
A:98
B:103
C:108
D:113 | 188 | null | null | null | null | null | null | |
1268 | 254 | Vision Intensive | Find y.
Choices:
A:\frac { \sqrt { 2 } } { 2 }
B:\sqrt { 2 }
C:2 \sqrt { 2 }
D:4 \sqrt { 2 } | D | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Find y.
Choices:
A:\frac { \sqrt { 2 } } { 2 }
B:\sqrt { 2 }
C:2 \sqrt { 2 }
D:4 \sqrt { 2 } | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Find y.
Choices:
A:\frac { \sqrt { 2 } } { 2 }
B:\sqrt { 2 }
C:2 \sqrt { 2 }
D:4 \sqrt { 2 } | Find y.
Choices:
A:\frac { \sqrt { 2 } } { 2 }
B:\sqrt { 2 }
C:2 \sqrt { 2 }
D:4 \sqrt { 2 } | 192 | null | null | null | null | null | null | |
1282 | 257 | Text Lite | B E and C D are parallel. If A B = 12, A C = 16, and E D = 5, find A E.
Choices:
A:10
B:12
C:15
D:16 | C | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: B E and C D are parallel. If A B = 12, A C = 16, and E D = 5, find A E.
Choices:
A:10
B:12
C:15
D:16 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: B E and C D are parallel. If A B = 12, A C = 16, and E D = 5, find A E.
Choices:
A:10
B:12
C:15
D:16 | B E and C D are parallel. If A B = 12, A C = 16, and E D = 5, find A E.
Choices:
A:10
B:12
C:15
D:16 | 196 | null | null | null | null | null | null | |
368 | 74 | Vision Intensive | As shown in the figure, if angle 1 = 115.0, then the degree of angle 2 is ()
Choices:
A:55°
B:65°
C:75°
D:85° | B | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, if angle 1 = 115.0, then the degree of angle 2 is ()
Choices:
A:55°
B:65°
C:75°
D:85° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, if angle 1 = 115.0, then the degree of angle 2 is ()
Choices:
A:55°
B:65°
C:75°
D:85° | As shown in the figure, if angle 1 = 115.0, then the degree of angle 2 is ()
Choices:
A:55°
B:65°
C:75°
D:85° | 52 | null | null | null | null | null | null | |
372 | 75 | Text Lite | As shown in the figure, a // b, angle 1 = 42.0, then the degree of angle 2 is ()
Choices:
A:46°
B:48°
C:56°
D:72° | B | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, a // b, angle 1 = 42.0, then the degree of angle 2 is ()
Choices:
A:46°
B:48°
C:56°
D:72° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, a // b, angle 1 = 42.0, then the degree of angle 2 is ()
Choices:
A:46°
B:48°
C:56°
D:72° | As shown in the figure, a // b, angle 1 = 42.0, then the degree of angle 2 is ()
Choices:
A:46°
B:48°
C:56°
D:72° | 56 | null | null | null | null | null | null | |
376 | 76 | Text Dominant | As shown in the figure, a parallel b, point B is on the straight line b, and AB perpendicular BC, angle 1 = 36.0, then angle 2 = ()
Choices:
A:54°
B:56°
C:44°
D:46° | A | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, a parallel b, point B is on the straight line b, and AB perpendicular BC, angle 1 = 36.0, then angle 2 = ()
Choices:
A:54°
B:56°
C:44°
D:46° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, a parallel b, point B is on the straight line b, and AB perpendicular BC, angle 1 = 36.0, then angle 2 = ()
Choices:
A:54°
B:56°
C:44°
D:46° | As shown in the figure, a parallel b, point B is on the straight line b, and AB perpendicular BC, angle 1 = 36.0, then angle 2 = ()
Choices:
A:54°
B:56°
C:44°
D:46° | 60 | null | null | null | null | null | null | |
380 | 76 | Vision Only | A | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | As shown in the figure, a parallel b, then angle 2 = ()
Choices:
A:54°
B:56°
C:44°
D:46° | 64 | null | null | null | null | null | null | ||
419 | 84 | Vision Dominant | As shown in the figure, then the length of BC is ()
Choices:
A:2
B:2√{3}
C:√{3}
D:2√{2} | C | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, then the length of BC is ()
Choices:
A:2
B:2√{3}
C:√{3}
D:2√{2} | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, then the length of BC is ()
Choices:
A:2
B:2√{3}
C:√{3}
D:2√{2} | As shown in the figure, then the length of BC is ()
Choices:
A:2
B:2√{3}
C:√{3}
D:2√{2} | 68 | null | null | null | null | null | null | |
433 | 87 | Vision Intensive | As shown in the figure, arc DE is the arc of 50.0, then angle BOC is ()
Choices:
A:115°
B:100°
C:80°
D:50° | A | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, arc DE is the arc of 50.0, then angle BOC is ()
Choices:
A:115°
B:100°
C:80°
D:50° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, arc DE is the arc of 50.0, then angle BOC is ()
Choices:
A:115°
B:100°
C:80°
D:50° | As shown in the figure, arc DE is the arc of 50.0, then angle BOC is ()
Choices:
A:115°
B:100°
C:80°
D:50° | 72 | null | null | null | null | null | null | |
467 | 94 | Text Lite | As shown in the figure, angle CAO = 22.5, OC = 6.0, then the length of CD is ()
Choices:
A:6√{2}
B:3√{2}
C:6
D:12 | A | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, angle CAO = 22.5, OC = 6.0, then the length of CD is ()
Choices:
A:6√{2}
B:3√{2}
C:6
D:12 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, angle CAO = 22.5, OC = 6.0, then the length of CD is ()
Choices:
A:6√{2}
B:3√{2}
C:6
D:12 | As shown in the figure, angle CAO = 22.5, OC = 6.0, then the length of CD is ()
Choices:
A:6√{2}
B:3√{2}
C:6
D:12 | 76 | null | null | null | null | null | null | |
526 | 106 | Text Dominant | This question examines the theorem of angle of circumference, the key is to answer it based on the relationship between the central angle and the angle of circumference of the same chord. 4.0. As shown in the figure, AB is the diameter of circle O, C is the point on circle O (except A and B), angle AOD = 136.0, then the degree of angle C is ()
Choices:
A:44°
B:22°
C:46°
D:36° | B | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: This question examines the theorem of angle of circumference, the key is to answer it based on the relationship between the central angle and the angle of circumference of the same chord. 4.0. As shown in the figure, AB is the diameter of circle O, C is the point on circle O (except A and B), angle AOD = 136.0, then the degree of angle C is ()
Choices:
A:44°
B:22°
C:46°
D:36° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: This question examines the theorem of angle of circumference, the key is to answer it based on the relationship between the central angle and the angle of circumference of the same chord. 4.0. As shown in the figure, AB is the diameter of circle O, C is the point on circle O (except A and B), angle AOD = 136.0, then the degree of angle C is ()
Choices:
A:44°
B:22°
C:46°
D:36° | This question examines the theorem of angle of circumference, the key is to answer it based on the relationship between the central angle and the angle of circumference of the same chord. 4.0. As shown in the figure, AB is the diameter of circle O, C is the point on circle O (except A and B), angle AOD = 136.0, then the degree of angle C is ()
Choices:
A:44°
B:22°
C:46°
D:36° | 80 | null | null | null | null | null | null | |
530 | 106 | Vision Only | B | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | then the degree of angle C is ()
Choices:
A:44°
B:22°
C:46°
D:36° | 84 | null | null | null | null | null | null | ||
539 | 108 | Vision Dominant | so the width of the water surface AB is ()
Choices:
A:4m
B:5m
C:6m
D:8m | D | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Applied"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: so the width of the water surface AB is ()
Choices:
A:4m
B:5m
C:6m
D:8m | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: so the width of the water surface AB is ()
Choices:
A:4m
B:5m
C:6m
D:8m | so the width of the water surface AB is ()
Choices:
A:4m
B:5m
C:6m
D:8m | 88 | null | null | null | null | null | null | |
553 | 111 | Vision Intensive | angle CAB = 90.0, angle ABC = 72.0, then the degree of angle ECD is ()
Choices:
A:63°
B:45°
C:27°
D:18° | C | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: angle CAB = 90.0, angle ABC = 72.0, then the degree of angle ECD is ()
Choices:
A:63°
B:45°
C:27°
D:18° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: angle CAB = 90.0, angle ABC = 72.0, then the degree of angle ECD is ()
Choices:
A:63°
B:45°
C:27°
D:18° | angle CAB = 90.0, angle ABC = 72.0, then the degree of angle ECD is ()
Choices:
A:63°
B:45°
C:27°
D:18° | 92 | null | null | null | null | null | null | |
582 | 117 | Text Lite | Use a sector piece of paper with a central angle of 120.0 and a radius of 3.0, then the height of the paper is ()
Choices:
A:3cm
B:2√{2}cm
C:3√{2}cm
D:4√{2}cm | B | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Applied"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Use a sector piece of paper with a central angle of 120.0 and a radius of 3.0, then the height of the paper is ()
Choices:
A:3cm
B:2√{2}cm
C:3√{2}cm
D:4√{2}cm | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Use a sector piece of paper with a central angle of 120.0 and a radius of 3.0, then the height of the paper is ()
Choices:
A:3cm
B:2√{2}cm
C:3√{2}cm
D:4√{2}cm | Use a sector piece of paper with a central angle of 120.0 and a radius of 3.0, then the height of the paper is ()
Choices:
A:3cm
B:2√{2}cm
C:3√{2}cm
D:4√{2}cm | 96 | null | null | null | null | null | null | |
706 | 142 | Text Dominant | As shown in the figure: the length of two vertical telephone poles AB is 6.0, the length of CD is 3.0, AD intersects BC at point E, then the length of the distance from E to the ground EF is ()
Choices:
A:2
B:2.2
C:2.4
D:2.5 | A | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Applied"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure: the length of two vertical telephone poles AB is 6.0, the length of CD is 3.0, AD intersects BC at point E, then the length of the distance from E to the ground EF is ()
Choices:
A:2
B:2.2
C:2.4
D:2.5 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure: the length of two vertical telephone poles AB is 6.0, the length of CD is 3.0, AD intersects BC at point E, then the length of the distance from E to the ground EF is ()
Choices:
A:2
B:2.2
C:2.4
D:2.5 | As shown in the figure: the length of two vertical telephone poles AB is 6.0, the length of CD is 3.0, AD intersects BC at point E, then the length of the distance from E to the ground EF is ()
Choices:
A:2
B:2.2
C:2.4
D:2.5 | 100 | null | null | null | null | null | null | |
1316 | 264 | Text Dominant | Parallelogram M N P Q with m \angle M = 10 x and m \angle N = 20 x, \angle M = \angle P and \angle N = \angle Q. Find \angle M.
Choices:
A:30
B:45
C:60
D:120 | C | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Parallelogram M N P Q with m \angle M = 10 x and m \angle N = 20 x, \angle M = \angle P and \angle N = \angle Q. Find \angle M.
Choices:
A:30
B:45
C:60
D:120 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Parallelogram M N P Q with m \angle M = 10 x and m \angle N = 20 x, \angle M = \angle P and \angle N = \angle Q. Find \angle M.
Choices:
A:30
B:45
C:60
D:120 | Parallelogram M N P Q with m \angle M = 10 x and m \angle N = 20 x, \angle M = \angle P and \angle N = \angle Q. Find \angle M.
Choices:
A:30
B:45
C:60
D:120 | 200 | null | null | null | null | null | null | |
1320 | 264 | Vision Only | C | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Angle"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | Parallelogram M N P Q, find \angle M.
Choices:
A:30
B:45
C:60
D:120 | 204 | null | null | null | null | null | null | ||
1339 | 268 | Vision Dominant | If \triangle L M N \sim \triangle Q R S, find the perimeter of \triangle L M N.
Choices:
A:35
B:42
C:63
D:84 | A | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: If \triangle L M N \sim \triangle Q R S, find the perimeter of \triangle L M N.
Choices:
A:35
B:42
C:63
D:84 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: If \triangle L M N \sim \triangle Q R S, find the perimeter of \triangle L M N.
Choices:
A:35
B:42
C:63
D:84 | If \triangle L M N \sim \triangle Q R S, find the perimeter of \triangle L M N.
Choices:
A:35
B:42
C:63
D:84 | 208 | null | null | null | null | null | null | |
1363 | 273 | Vision Intensive | M Q = 5, M N = 6. Find Q P.
Choices:
A:2
B:3.6
C:5
D:6 | B | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: M Q = 5, M N = 6. Find Q P.
Choices:
A:2
B:3.6
C:5
D:6 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: M Q = 5, M N = 6. Find Q P.
Choices:
A:2
B:3.6
C:5
D:6 | M Q = 5, M N = 6. Find Q P.
Choices:
A:2
B:3.6
C:5
D:6 | 212 | null | null | null | null | null | null | |
1367 | 274 | Text Lite | Find x.
Choices:
A:8 \sqrt { 2 }
B:8 \sqrt { 3 }
C:8 \sqrt { 5 }
D:8 \sqrt { 7 } | C | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Find x.
Choices:
A:8 \sqrt { 2 }
B:8 \sqrt { 3 }
C:8 \sqrt { 5 }
D:8 \sqrt { 7 } | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Find x.
Choices:
A:8 \sqrt { 2 }
B:8 \sqrt { 3 }
C:8 \sqrt { 5 }
D:8 \sqrt { 7 } | Find x.
Choices:
A:8 \sqrt { 2 }
B:8 \sqrt { 3 }
C:8 \sqrt { 5 }
D:8 \sqrt { 7 } | 216 | null | null | null | null | null | null | |
1371 | 275 | Text Dominant | In rhombus A B C D, diagonals A C and B D intersect at point E. A B = 2 x + 3 and B C = 5 x. Find m \angle A E B.
Choices:
A:45
B:60
C:90
D:180 | C | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In rhombus A B C D, diagonals A C and B D intersect at point E. A B = 2 x + 3 and B C = 5 x. Find m \angle A E B.
Choices:
A:45
B:60
C:90
D:180 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In rhombus A B C D, diagonals A C and B D intersect at point E. A B = 2 x + 3 and B C = 5 x. Find m \angle A E B.
Choices:
A:45
B:60
C:90
D:180 | In rhombus A B C D, diagonals A C and B D intersect at point E. A B = 2 x + 3 and B C = 5 x. Find m \angle A E B.
Choices:
A:45
B:60
C:90
D:180 | 220 | null | null | null | null | null | null | |
1375 | 275 | Vision Only | C | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Angle"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | In rhombus A B C D. Find m \angle A E B.
Choices:
A:45
B:60
C:90
D:180 | 224 | null | null | null | null | null | null | ||
1389 | 278 | Vision Dominant | Find the scale factor from W to W'.
Choices:
A:\frac { 1 } { 3 }
B:\frac { 2 } { 3 }
C:\frac { 3 } { 4 }
D:\frac { 3 } { 2 } | A | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Find the scale factor from W to W'.
Choices:
A:\frac { 1 } { 3 }
B:\frac { 2 } { 3 }
C:\frac { 3 } { 4 }
D:\frac { 3 } { 2 } | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Find the scale factor from W to W'.
Choices:
A:\frac { 1 } { 3 }
B:\frac { 2 } { 3 }
C:\frac { 3 } { 4 }
D:\frac { 3 } { 2 } | Find the scale factor from W to W'.
Choices:
A:\frac { 1 } { 3 }
B:\frac { 2 } { 3 }
C:\frac { 3 } { 4 }
D:\frac { 3 } { 2 } | 228 | null | null | null | null | null | null | |
1403 | 281 | Vision Intensive | Express the ratio of \cos B as a decimal to the nearest hundredth.
Choices:
A:0.38
B:0.42
C:0.92
D:2.40 | A | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Express the ratio of \cos B as a decimal to the nearest hundredth.
Choices:
A:0.38
B:0.42
C:0.92
D:2.40 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Express the ratio of \cos B as a decimal to the nearest hundredth.
Choices:
A:0.38
B:0.42
C:0.92
D:2.40 | Express the ratio of \cos B as a decimal to the nearest hundredth.
Choices:
A:0.38
B:0.42
C:0.92
D:2.40 | 232 | null | null | null | null | null | null | |
1452 | 291 | Text Lite | Find the area of the shaded region.
Choices:
A:35.2
B:43.2
C:53.5
D:56.9 | D | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Area"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Find the area of the shaded region.
Choices:
A:35.2
B:43.2
C:53.5
D:56.9 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Find the area of the shaded region.
Choices:
A:35.2
B:43.2
C:53.5
D:56.9 | Find the area of the shaded region.
Choices:
A:35.2
B:43.2
C:53.5
D:56.9 | 236 | null | null | null | null | null | null | |
1471 | 295 | Text Dominant | In triangle T Q S, TQ = 2, S Q = 5, and T S = 3. Find x if \triangle J L M \sim \triangle Q S T.
Choices:
A:1.5
B:2
C:3
D:4 | A | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In triangle T Q S, TQ = 2, S Q = 5, and T S = 3. Find x if \triangle J L M \sim \triangle Q S T.
Choices:
A:1.5
B:2
C:3
D:4 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In triangle T Q S, TQ = 2, S Q = 5, and T S = 3. Find x if \triangle J L M \sim \triangle Q S T.
Choices:
A:1.5
B:2
C:3
D:4 | In triangle T Q S, TQ = 2, S Q = 5, and T S = 3. Find x if \triangle J L M \sim \triangle Q S T.
Choices:
A:1.5
B:2
C:3
D:4 | 240 | null | null | null | null | null | null | |
1475 | 295 | Vision Only | A | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Length"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | Find x if \triangle J L M \sim \triangle Q S T.
Choices:
A:1.5
B:2
C:3
D:4 | 244 | null | null | null | null | null | null | ||
1529 | 306 | Vision Dominant | Express the ratio of \cos X as a decimal to the nearest hundredth.
Choices:
A:0.28
B:0.29
C:0.96
D:3.43 | A | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Express the ratio of \cos X as a decimal to the nearest hundredth.
Choices:
A:0.28
B:0.29
C:0.96
D:3.43 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Express the ratio of \cos X as a decimal to the nearest hundredth.
Choices:
A:0.28
B:0.29
C:0.96
D:3.43 | Express the ratio of \cos X as a decimal to the nearest hundredth.
Choices:
A:0.28
B:0.29
C:0.96
D:3.43 | 248 | null | null | null | null | null | null | |
1648 | 330 | Vision Intensive | A rally car starts at point P and races to point Q. Here the car turns and races to point R. At point R the car must turn to head directly back to point P.
What is the compass bearing of R from P? Give your answer to one decimal place. | S 23.5 ^\circ W | free-form | {
"split": "testmini",
"source": "Geo2D_collected",
"subject": "Plane Geometry",
"subfield": "Applied"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: A rally car starts at point P and races to point Q. Here the car turns and races to point R. At point R the car must turn to head directly back to point P.
What is the compass bearing of R from P? Give your answer to one decimal place. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: A rally car starts at point P and races to point Q. Here the car turns and races to point R. At point R the car must turn to head directly back to point P.
What is the compass bearing of R from P? Give your answer to one decimal place. | A rally car starts at point P and races to point Q. Here the car turns and races to point R. At point R the car must turn to head directly back to point P.
What is the compass bearing of R from P? Give your answer to one decimal place. | 252 | null | null | null | null | null | null | |
1707 | 342 | Text Lite | Find the true bearing of point C from point B | 221 ^\circ T | free-form | {
"split": "testmini",
"source": "Geo2D_collected",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Find the true bearing of point C from point B | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Find the true bearing of point C from point B | Find the true bearing of point C from point B | 256 | null | null | null | null | null | null | |
1861 | 373 | Text Dominant | In the right angled triangle, the marked angle is 30°, the marked right angled side has a length of 8.5, and the diagonal side has a length of P. Consider the adjacent figure:
Solve for the unknown P. | 17 | free-form | {
"split": "testmini",
"source": "Geo2D_collected",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: In the right angled triangle, the marked angle is 30°, the marked right angled side has a length of 8.5, and the diagonal side has a length of P. Consider the adjacent figure:
Solve for the unknown P. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: In the right angled triangle, the marked angle is 30°, the marked right angled side has a length of 8.5, and the diagonal side has a length of P. Consider the adjacent figure:
Solve for the unknown P. | In the right angled triangle, the marked angle is 30°, the marked right angled side has a length of 8.5, and the diagonal side has a length of P. Consider the adjacent figure:
Solve for the unknown P. | 260 | null | null | null | null | null | null | |
1865 | 373 | Vision Only | 17 | free-form | {
"split": "testmini",
"source": "Geo2D_collected",
"subject": "Plane Geometry",
"subfield": "Length"
} | According to the question shown in the image, please directly answer the question and provide the final value, e.g., 1, 2.5, 300. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end. | Consider the adjacent figure:
Solve for the unknown P. | 264 | null | null | null | null | null | null | ||
1994 | 399 | Vision Dominant | Find the exact area of the given figure: | Area $=\frac{25 \pi}{4} \mathrm{~mm}^{2}$ | free-form | {
"split": "testmini",
"source": "Geo2D_collected",
"subject": "Plane Geometry",
"subfield": "Area"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Find the exact area of the given figure: | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Find the exact area of the given figure: | Find the exact area of the given figure: | 268 | null | null | null | null | null | null | |
1998 | 400 | Vision Intensive | Find the area of the shape shown.
Give your answer as an exact value. | Area $=\frac{121 \pi}{4} \mathrm{~m}^{2}$ | free-form | {
"split": "testmini",
"source": "Geo2D_collected",
"subject": "Plane Geometry",
"subfield": "Area"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Find the area of the shape shown.
Give your answer as an exact value. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Find the area of the shape shown.
Give your answer as an exact value. | Find the area of the shape shown.
Give your answer as an exact value. | 272 | null | null | null | null | null | null | |
2012 | 403 | Text Lite | Find the exact area of the shape shown, which is two thirds of a circle. | Area $=\frac{338 \pi}{3} \mathrm{~mm}^{2}$ | free-form | {
"split": "testmini",
"source": "Geo2D_collected",
"subject": "Plane Geometry",
"subfield": "Area"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Find the exact area of the shape shown, which is two thirds of a circle. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Find the exact area of the shape shown, which is two thirds of a circle. | Find the exact area of the shape shown, which is two thirds of a circle. | 276 | null | null | null | null | null | null | |
2016 | 404 | Text Dominant | The radius of the figure is $ 96.4 \mathrm{~mm}$. Consider the sector below.
Calculate the area. Give your answer correct to four decimal places. | 7298.6737 \mathrm{~mm}^{2} | free-form | {
"split": "testmini",
"source": "Geo2D_collected",
"subject": "Plane Geometry",
"subfield": "Area"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: The radius of the figure is $ 96.4 \mathrm{~mm}$. Consider the sector below.
Calculate the area. Give your answer correct to four decimal places. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: The radius of the figure is $ 96.4 \mathrm{~mm}$. Consider the sector below.
Calculate the area. Give your answer correct to four decimal places. | The radius of the figure is $ 96.4 \mathrm{~mm}$. Consider the sector below.
Calculate the area. Give your answer correct to four decimal places. | 280 | null | null | null | null | null | null | |
2020 | 404 | Vision Only | 7298.6737 \mathrm{~mm}^{2} | free-form | {
"split": "testmini",
"source": "Geo2D_collected",
"subject": "Plane Geometry",
"subfield": "Area"
} | According to the question shown in the image, please directly answer the question and provide the final value, e.g., 1, 2.5, 300. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end. | Consider the sector below.
Calculate the area. Give your answer correct to four decimal places. | 284 | null | null | null | null | null | null | ||
2149 | 430 | Vision Dominant | Sally needs to walk from the school to the bus stop.
True or False : The quickest way to get there will be through the playground.
Choice:
A. False
B. True | False | multi-choice | {
"split": "testmini",
"source": "Geo2D_collected",
"subject": "Plane Geometry",
"subfield": "Applied"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Sally needs to walk from the school to the bus stop.
True or False : The quickest way to get there will be through the playground.
Choice:
A. False
B. True | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Sally needs to walk from the school to the bus stop.
True or False : The quickest way to get there will be through the playground.
Choice:
A. False
B. True | Sally needs to walk from the school to the bus stop.
True or False : The quickest way to get there will be through the playground.
Choice:
A. False
B. True | 288 | null | null | null | null | null | null | |
2178 | 436 | Vision Intensive | Find the equation of the graph.
| \frac{y^2}{16}-\frac{x^2}{25}=1 | free-form | {
"split": "testmini",
"source": "Geo2D_collected",
"subject": "Plane Geometry",
"subfield": "Analytic"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Find the equation of the graph.
| Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Find the equation of the graph.
| Find the equation of the graph.
| 292 | null | null | null | null | null | null |
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