id string | image image | conversations list | regions string | image_size list | num_tokens int64 |
|---|---|---|---|---|---|
999 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As indicated in the diagram, line a and line b are parallel. The intersection of line l with lines a and b occurs at points A and B respectively. A line draw... | {"<|obj1|>":[147,35,167,70],"<|obj2|>":[126,98,154,112],"<|obj3|>":[42,0,105,49],"<|obj4|>":[42,35,105,63],"<|obj5|>":[14,105,63,133],"<|obj6|>":[49,98,84,126],"<|obj7|>":[0,0,167,139],"<|obj8|>":[14,0,119,105]} | [
168,
140
] | 2,985 | |
1017 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given figure, PA is tangent to circle O at point A, PB is tangent to circle O at point B. If PA is equal to 12, then what is the value of PB?\nChoices... | {"<|obj1|>":[58,5,139,95],"<|obj2|>":[64,0,105,18],"<|obj3|>":[58,82,111,111],"<|obj4|>":[0,35,35,59]} | [
140,
112
] | 1,333 | |
407 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In diagram with points A, B, and C on circle O, if angle BOC measures 64°, then what is the degree of angle BAC?\nChoices:\nA: 64°\nB: 32°\nC: 26°\nD: 23°.\n... | {"<|obj1|>":[11,5,111,105],"<|obj2|>":[11,17,106,139],"<|obj3|>":[17,17,101,105],"<|obj4|>":[17,17,101,111],"<|obj5|>":[0,0,106,139]} | [
112,
140
] | 2,441 | |
1032 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If in the given figure, lines AB and CD intersect at point O, and the sum of angle 1 and angle 2 is equal to 80 degrees, what is the measure of angle 2?\nCho... | {"<|obj1|>":[0,10,231,41],"<|obj2|>":[21,81,221,111],"<|obj3|>":[63,20,137,111],"<|obj4|>":[63,0,168,111],"<|obj5|>":[63,0,221,111]} | [
252,
112
] | 1,785 | |
650 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given figure, quadrilateral ABCD is a rhombus with side length 10cm. The diagonals BD and AC intersect at point O. If BD is 12cm, what is the length o... | {"<|obj1|>":[56,56,111,111],"<|obj2|>":[4,4,89,108],"<|obj3|>":[4,9,111,108],"<|obj4|>":[32,51,89,108],"<|obj5|>":[65,93,80,108],"<|obj6|>":[0,0,98,24],"<|obj7|>":[4,0,111,111]} | [
112,
112
] | 1,713 | |
668 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given figure, triangle ABD is shown, where angle D is measured as 80 degrees. Point C is situated on side BD, leading to the formation of line segment... | {"<|obj1|>":[11,0,139,83],"<|obj2|>":[40,65,59,78],"<|obj3|>":[11,0,135,83],"<|obj4|>":[32,0,131,83],"<|obj5|>":[5,0,135,83]} | [
140,
84
] | 2,617 | |
360 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: What is the length of AC in the figure where the perimeter of parallelogram ABCD is mentioned as 22.0 and the perimeter of triangle ABC is 17.0?\nChoices:\nA... | {"<|obj1|>":[0,0,139,83],"<|obj2|>":[11,0,139,83],"<|obj3|>":[35,13,105,83]} | [
140,
84
] | 1,710 | |
1371 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Consider the figure where points A, B, C, and D lie on circle O. Angle ABC is measured at 90.0 degrees, and AD and CD measure 12.0 and 5.0, respectively. Wha... | {"<|obj1|>":[5,5,139,135],"<|obj2|>":[58,0,105,35],"<|obj3|>":[0,29,18,82],"<|obj4|>":[35,122,76,139],"<|obj5|>":[64,87,129,135],"<|obj6|>":[110,87,129,117],"<|obj7|>":[35,87,129,135],"<|obj8|>":[29,0,135,135]} | [
140,
140
] | 2,314 | |
13781 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the diagram, in triangle ABC, AB = 5, BC = 3, AC = 4, if a circle with center C is tangent to AB, then the radius of circle C is ().\nChoices:\nA: 2.6\nB:... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[14,4,108,103],"<|obj3|>":[51,51,108,108],"<|obj4|>":[0,18,108,111],"<|obj5|>":[9,0,108,111]} | [
112,
112
] | 1,839 | |
1994 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If angle BOC is 100 degrees and points A, B, and C are all positioned on circle O in the diagram, what is the measure of angle BAC?\nChoices:\nA: 70°\nB: 60°... | {"<|obj1|>":[0,0,55,54],"<|obj2|>":[23,4,52,33],"<|obj3|>":[16,2,52,47]} | [
56,
56
] | 956 | |
669 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: The given figure displays triangle ABC, with angle ACB set at 90 degrees. Marked as H, E, and F are the midpoints of sides AB, BC, and CA respectively. If th... | {"<|obj1|>":[0,5,111,139],"<|obj2|>":[41,52,65,82],"<|obj3|>":[29,122,59,135],"<|obj4|>":[0,0,111,139],"<|obj5|>":[11,58,106,139],"<|obj6|>":[35,46,83,139],"<|obj7|>":[29,29,48,59]} | [
112,
140
] | 3,729 | |
1089 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given diagram, lines l1 and l2 are parallel. If the measure of angle 1 is 76°, then what is the measure of angle 2? Represent the measure of angle 2 a... | {"<|obj1|>":[52,8,123,80],"<|obj2|>":[0,70,129,89],"<|obj3|>":[29,0,117,89],"<|obj4|>":[81,5,117,77],"<|obj5|>":[75,5,123,95]} | [
140,
112
] | 2,519 | |
1639 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Consider a rectangle with a length denoted by 'length' units and a width denoted by 'width' units. Determine the radius 'r' of the minimum covering circle th... | {"<|obj1|>":[0,0,103,111],"<|obj2|>":[93,0,223,111]} | [
224,
112
] | 3,020 | |
307 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In triangle ABC, with AB equal to AC and AD as the median of side BC, what is the measure of angle BAD when angle B is 70 degrees, as shown in the diagram?\n... | {"<|obj1|>":[0,5,139,111],"<|obj2|>":[58,11,117,101],"<|obj3|>":[11,41,82,111],"<|obj4|>":[58,17,94,95],"<|obj5|>":[105,0,139,111]} | [
140,
112
] | 2,316 | |
1024 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, a big tree broke and fell at a distance 3.0 from the ground during a strong typhoon. The top of the tree fell at a distance 4.0 from ... | {"<|obj1|>":[0,0,139,55],"<|obj2|>":[58,0,129,55],"<|obj3|>":[0,0,139,55],"<|obj4|>":[38,0,137,55]} | [
140,
56
] | 1,420 | |
267 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given triangle ABC, where AB is equal to AC and AD is the median of side BC, let angle B be represented by the variable 'u' (u = 70°). What is the deg... | {"<|obj1|>":[11,0,139,111],"<|obj2|>":[58,5,76,101],"<|obj3|>":[10,28,95,111],"<|obj4|>":[58,0,82,30]} | [
140,
112
] | 1,298 | |
821 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the rectangle ABCD, given that AB is 1 unit long, BC is 1.5 units long, a circle A is drawn with A as the center and a radius of 0.5 units. E is a moving ... | {"<|obj1|>":[0,84,215,139],"<|obj2|>":[0,18,56,84]} | [
224,
140
] | 3,802 | |
10312 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, a ring-shaped carpet is to be laid in the lobby of a hotel. The worker only measures the length of the chord AB of the great circle t... | {"<|obj1|>":[14,3,83,53],"<|obj2|>":[0,0,83,83],"<|obj3|>":[23,0,82,59],"<|obj4|>":[31,0,83,49],"<|obj5|>":[7,0,83,83],"<|obj6|>":[3,0,83,81]} | [
84,
84
] | 1,484 | |
1993 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the provided diagram, if angle 1 and angle 2 are both measured at 150 degrees, what is the measurement of angle 3?\nChoices:\nA: 30°\nB: 150°\nC: 120°\nD:... | {"<|obj1|>":[0,0,111,83],"<|obj2|>":[9,9,111,83],"<|obj3|>":[4,46,70,83],"<|obj4|>":[4,46,38,83]} | [
112,
84
] | 2,882 | |
1924 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Let's assume the given figure is depicting circle O, where arc AB is equal to arc AC and angle AOB is 44.0 degrees. What is the degree measure of angle ADC?\... | {"<|obj1|>":[0,0,111,135],"<|obj2|>":[76,17,101,41],"<|obj3|>":[29,11,106,65],"<|obj4|>":[35,11,95,117],"<|obj5|>":[38,11,109,82],"<|obj6|>":[5,11,106,123],"<|obj7|>":[16,39,101,124],"<|obj8|>":[29,11,106,105],"<|obj9|>":[29,5,111,129],"<|obj10|>":[11,5,106,135],"<|obj11|>":[29,23,101,105]} | [
112,
140
] | 2,234 | |
97 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Given a figure showing triangle ABC with point D lying on the arc AC that is circumscribed by the triangle, and with AB being equal to AC and angle CAB measu... | {"<|obj1|>":[9,4,103,111],"<|obj2|>":[88,42,103,61],"<|obj3|>":[4,4,103,75],"<|obj4|>":[4,4,103,111],"<|obj5|>":[14,0,103,111],"<|obj6|>":[14,0,103,111],"<|obj7|>":[32,0,89,56],"<|obj8|>":[14,0,111,111],"<|obj9|>":[0,0,111,111],"<|obj10|>":[4,42,103,111],"<|obj11|>":[18,0,103,111],"<|obj12|>":[4,0,98,111]} | [
112,
112
] | 2,783 | |
1600 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Consider the figure provided, where AB represents the diameter of circle O. Point C is situated on circle O. Joining OC and AC forms angle OCA. If the degree... | {"<|obj1|>":[0,4,111,108],"<|obj2|>":[70,0,111,47],"<|obj3|>":[9,88,33,108],"<|obj4|>":[32,42,66,66],"<|obj5|>":[9,84,94,108],"<|obj6|>":[42,14,111,111],"<|obj7|>":[51,4,108,61],"<|obj8|>":[42,4,108,103],"<|obj9|>":[28,0,111,98],"<|obj10|>":[28,0,111,98],"<|obj11|>":[23,0,111,111],"<|obj12|>":[28,4,103,98],"<|obj13|>":... | [
112,
112
] | 3,874 | |
1655 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the diagram, the lines AB and CD intersect at point O, where OE is perpendicular to AB with O as the foot of the perpendicular. If angle BOD is 5... | {"<|obj1|>":[0,0,223,167]} | [
224,
168
] | 1,346 | |
498 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Within the provided illustration, circle O is represented with a diameter BC of 6.0 units. Point A is situated on the circle, and angle C is known to be 30.0... | {"<|obj1|>":[0,0,139,105],"<|obj2|>":[5,105,123,139],"<|obj3|>":[5,110,117,139],"<|obj4|>":[5,105,123,139]} | [
140,
140
] | 3,053 | |
11 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Given that the diagonals of rhombus ABCD are 6 and 8 units long, what is the measurement of its side lengths?\nChoices:\nA: 8\nB: 10\nC: 5\nD: 12.\nPlease an... | {"<|obj1|>":[0,0,167,83],"<|obj2|>":[42,0,84,42],"<|obj3|>":[14,63,49,77],"<|obj4|>":[84,70,105,83],"<|obj5|>":[84,0,167,83],"<|obj6|>":[63,35,91,63],"<|obj7|>":[61,0,163,83],"<|obj8|>":[14,7,167,83],"<|obj9|>":[0,0,154,83]} | [
168,
84
] | 1,794 | |
1097 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, points PA and PB are tangent to the circle O at points A and B respectively. Point C is a moving point on the circle other than point... | {"<|obj1|>":[0,0,82,105],"<|obj2|>":[46,0,76,30],"<|obj3|>":[70,40,139,111],"<|obj4|>":[46,0,105,47],"<|obj5|>":[40,105,70,123],"<|obj6|>":[58,11,105,47],"<|obj7|>":[46,5,139,139],"<|obj8|>":[58,17,129,139],"<|obj9|>":[11,0,105,59],"<|obj10|>":[0,0,111,139],"<|obj11|>":[46,0,139,139]} | [
140,
140
] | 2,681 | |
1659 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In triangle ABC, given that angle AED is congruent to angle B, DE measures 6.0 units, AB measures 10.0 units, and AE measures 8.0 units, determine the length... | {"<|obj1|>":[0,0,83,111],"<|obj2|>":[9,42,80,94],"<|obj3|>":[65,65,80,80],"<|obj4|>":[5,0,83,79],"<|obj5|>":[0,13,83,103]} | [
84,
112
] | 1,899 | |
1207 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In triangle ABC, where angle C measures 90 degrees, side BC has a length of 35 units, and the angle bisector of angle BAC intersects side BC at point D. If t... | {"<|obj1|>":[7,0,83,55],"<|obj2|>":[10,0,83,55],"<|obj3|>":[31,0,83,49],"<|obj4|>":[3,3,83,55]} | [
84,
56
] | 2,769 | |
235 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As depicted in the figure, during a hurricane disaster, a substantial tree experienced a major break at a point 3.0 meters above the ground. This resulted in... | {"<|obj1|>":[0,0,139,111],"<|obj2|>":[5,76,123,111],"<|obj3|>":[0,0,59,36],"<|obj4|>":[0,0,94,95]} | [
140,
112
] | 2,043 | |
1328 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the provided triangle ABC, let angle B be denoted by variable h (h = 36°). Given that AB is equal to AC and AD is the median, what is the degree measure o... | {"<|obj1|>":[11,17,111,83],"<|obj2|>":[0,0,129,83],"<|obj3|>":[110,47,129,72],"<|obj4|>":[17,0,123,83],"<|obj5|>":[11,35,129,83],"<|obj6|>":[58,11,100,78]} | [
140,
84
] | 1,388 | |
1613 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: To measure the width AB of the swimming pool, a point P is chosen outside the pool. Points C and D are the midpoints of PA and PB respectively. If CD is meas... | {"<|obj1|>":[0,0,223,167],"<|obj2|>":[28,0,66,28],"<|obj3|>":[9,130,122,167],"<|obj4|>":[196,93,215,131],"<|obj5|>":[102,46,215,159],"<|obj6|>":[93,121,131,150],"<|obj7|>":[28,0,223,159],"<|obj8|>":[9,102,206,167],"<|obj9|>":[56,0,223,167],"<|obj10|>":[93,46,159,150]} | [
224,
168
] | 3,302 | |
1847 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As depicted in the figure, AB and CD are parallel lines. BD is a line segment perpendicular to CF, with B being the foot of the perpendicular. If angle BDC e... | {"<|obj1|>":[0,8,195,139],"<|obj2|>":[24,57,123,75],"<|obj3|>":[73,107,195,139],"<|obj4|>":[73,74,156,139],"<|obj5|>":[0,0,123,75],"<|obj6|>":[0,0,195,139],"<|obj7|>":[32,4,131,103],"<|obj8|>":[138,0,188,132],"<|obj9|>":[65,0,195,139],"<|obj10|>":[138,0,195,139],"<|obj11|>":[65,0,195,139]} | [
196,
140
] | 3,932 | |
1204 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If angle AOB is recognized as the central angle of circle O in the provided figure, measuring 60.0 degrees, what is the degree measure of angle ACB on the ci... | {"<|obj1|>":[0,0,154,77],"<|obj2|>":[14,0,167,167],"<|obj3|>":[14,0,167,167],"<|obj4|>":[0,0,167,167]} | [
168,
168
] | 2,025 | |
1233 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If angle A is measured at 40 degrees and point O is the circumcenter of triangle ABC, what would be the degree measure of angle BOC as depicted in the figure... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[45,31,111,99],"<|obj3|>":[14,9,89,103],"<|obj4|>":[9,0,111,103]} | [
112,
112
] | 3,138 | |
3696 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: The figure shows triangle ABC with midpoints D, E, and F on its sides. Connecting DE, EF, and FD creates triangle DEF. If the perimeter of triangle ABC is 24... | {"<|obj1|>":[0,0,139,78],"<|obj2|>":[0,11,70,83],"<|obj3|>":[11,59,76,83],"<|obj4|>":[99,23,135,54],"<|obj5|>":[0,0,98,83]} | [
140,
84
] | 1,812 | |
1753 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Consider the diagram showing triangle ABC, where points D and E represent the midpoints of sides AB and AC. If the segment DE measures 3 units, what is the l... | {"<|obj1|>":[4,0,111,83],"<|obj2|>":[0,28,56,83],"<|obj3|>":[74,28,89,42],"<|obj4|>":[14,23,84,47],"<|obj5|>":[4,60,108,80]} | [
112,
84
] | 1,279 | |
655 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As depicted in the figure, the quadrilateral ABCD is identified as a rhombus. The coordinates of points A and B are (√{3}, 0) and (0, 1) respectively, with p... | {"<|obj1|>":[0,0,167,139],"<|obj2|>":[119,70,140,91],"<|obj3|>":[70,35,84,49],"<|obj4|>":[147,35,161,98],"<|obj5|>":[49,0,91,49]} | [
168,
140
] | 3,397 | |
869 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, points A, B, and C are three points on the circle O. If angle C=54°, then the size of angle AOB is ()\nChoices:\nA: 27°\nB: 36°\nC: 5... | {"<|obj1|>":[0,0,83,83],"<|obj2|>":[3,63,77,77],"<|obj3|>":[66,59,77,77],"<|obj4|>":[33,0,83,51],"<|obj5|>":[6,23,57,75]} | [
84,
84
] | 1,912 | |
112 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: For a cone with a generatrix length of 'g' units (g = 2.0) and a bottom circle radius of 'r' units (r = 1.0), what is the lateral area of the cone represente... | {"<|obj1|>":[0,0,111,111]} | [
112,
112
] | 1,680 | |
1934 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Given a triangular plank, as shown in the figure, with a 6.0 side and an 8.0 side, if it is rotated around the 6.0 side, what is the area enclosed by the tra... | {"<|obj1|>":[0,0,111,83],"<|obj2|>":[0,0,111,83],"<|obj3|>":[0,0,111,83],"<|obj4|>":[4,0,98,80]} | [
112,
84
] | 2,683 | |
1798 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the context of planting trees on flat ground versus a hilledge with a slope ratio of i = 1:(4/3), if the required plant spacing is 4.0 units in both cases... | {"<|obj1|>":[0,0,195,83],"<|obj2|>":[106,42,188,83],"<|obj3|>":[106,16,195,83]} | [
196,
84
] | 1,903 | |
904 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: What would be the measure of angle ACB if angle AOB is 38.0 degrees, and points A, B, and C are all on circle O with point O as the center?\nChoices:\nA: 38°... | {"<|obj1|>":[0,0,111,103],"<|obj2|>":[4,9,94,108],"<|obj3|>":[23,0,103,111],"<|obj4|>":[0,4,108,111]} | [
112,
112
] | 1,804 | |
1164 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If angle A in triangle ABC measures 80° and angle B measures 60°, and triangle ABC is congruent to triangle DEF, what is the measure of angle F?\nChoices:\nA... | {"<|obj1|>":[0,7,70,55],"<|obj2|>":[84,35,161,55]} | [
168,
56
] | 1,396 | |
915 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the diagram, point O is the intersection of diagonals AC and BD in rectangle ABCD. If the angle AOB measures 60° and the length of BD is known to... | {"<|obj1|>":[0,0,139,83],"<|obj2|>":[23,11,129,72],"<|obj3|>":[23,11,129,72],"<|obj4|>":[40,0,111,71],"<|obj5|>":[0,0,129,83],"<|obj6|>":[11,11,123,83],"<|obj7|>":[105,59,135,83]} | [
140,
84
] | 2,896 | |
144 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Considering the diagram, if diamond ABCD has a perimeter of 4cm and angle ABC measures 60°, what is the length of diagonal AC in this diamond?\nChoices:\nA: ... | {"<|obj1|>":[0,0,167,111],"<|obj2|>":[14,0,167,111],"<|obj3|>":[49,14,119,111]} | [
168,
112
] | 2,204 | |
448 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given diagram of quadrilateral ABCD, where AC is perpendicular to BC, AD is parallel to BC, and BD bisects angle ABC, what is the measurement of lengt... | {"<|obj1|>":[0,0,167,111],"<|obj2|>":[7,0,161,111],"<|obj3|>":[35,91,49,105],"<|obj4|>":[133,0,161,84],"<|obj5|>":[84,7,167,91],"<|obj6|>":[7,21,91,105],"<|obj7|>":[56,49,91,70],"<|obj8|>":[56,49,77,63],"<|obj9|>":[119,0,167,98],"<|obj10|>":[7,14,133,111],"<|obj11|>":[14,0,70,63]} | [
168,
112
] | 3,719 | |
1535 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: What is the measure of angle C in triangle ABC, where AD bisects angle BAC, angle B measures 70 degrees, and angle BAD measures 30 degrees?\nChoices:\nA: 35°... | {"<|obj1|>":[0,0,167,139],"<|obj2|>":[7,0,154,139],"<|obj3|>":[42,7,147,139],"<|obj4|>":[42,0,98,139],"<|obj5|>":[35,0,147,139]} | [
168,
140
] | 2,392 | |
1062 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the figure provided, a big tree can be seen fallen after being broken during a strong typhoon. The base of the tree landed at a distance of 3.0 units from... | {"<|obj1|>":[0,0,139,55],"<|obj2|>":[52,0,135,51],"<|obj3|>":[0,0,111,23]} | [
140,
56
] | 2,413 | |
1852 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, in triangle ABC, if DE parallel BC, frac {AD}{AB}=frac {1.0}{3.0},BC=12.0cm, then the length of DE is ()\nChoices:\nA: 12cm\nB: 6cm\... | {"<|obj1|>":[0,4,111,111],"<|obj2|>":[65,9,80,24],"<|obj3|>":[4,84,24,103],"<|obj4|>":[98,84,103,108],"<|obj5|>":[28,28,103,47]} | [
112,
112
] | 1,793 | |
57 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In triangle ABC, let angle DCA be represented by the variable x (x = 110°) and angle A be represented by the variable y (y = 75°). What is the degree measure... | {"<|obj1|>":[71,0,223,139],"<|obj2|>":[147,10,221,139],"<|obj3|>":[21,0,221,119],"<|obj4|>":[21,21,221,139]} | [
252,
140
] | 3,301 | |
197 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find the value of AB in triangle ABC, given that AB is equal to AC, AD bisects angle BAC into two congruent angles, E is the midpoint of AC, and DE measures ... | {"<|obj1|>":[0,0,103,108],"<|obj2|>":[0,4,66,108],"<|obj3|>":[42,0,108,108],"<|obj4|>":[51,9,75,94],"<|obj5|>":[60,28,98,66],"<|obj6|>":[60,32,84,66],"<|obj7|>":[0,70,52,108]} | [
112,
112
] | 2,926 | |
1462 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given circle O with diameter AB, points C and D lie on the circumference of the circle. If angle ABC measures 70.0 degrees, what is the degree measure... | {"<|obj1|>":[11,5,65,89],"<|obj2|>":[0,38,70,109],"<|obj3|>":[52,3,123,74],"<|obj4|>":[70,88,94,111],"<|obj5|>":[52,15,123,86],"<|obj6|>":[52,15,123,86],"<|obj7|>":[40,15,111,86],"<|obj8|>":[35,11,129,101]} | [
140,
112
] | 1,651 | |
1527 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Given the diameter of the base circle of the cone as 6 and the height OA as 4, what is the area of the unfolded side surface of the cone?\nChoices:\nA: 30π\n... | {"<|obj1|>":[87,82,129,101],"<|obj2|>":[52,0,76,24],"<|obj3|>":[58,11,82,83]} | [
140,
112
] | 1,012 | |
1595 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given figure, triangle ABC is similar to triangle A1B1C1, and the center of similarity is point O. If the ratio of OA to OA1 is represented by the var... | {"<|obj1|>":[8,0,132,180],"<|obj2|>":[24,0,139,195],"<|obj3|>":[49,73,83,115],"<|obj4|>":[32,32,75,107],"<|obj5|>":[8,138,75,188]} | [
140,
196
] | 2,976 | |
879 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given square ABCD, if the length of side AB is represented by the variable 'x' (x = 1), what is the length of side AC? Express the length as 'y' in te... | {"<|obj1|>":[10,0,83,83],"<|obj2|>":[17,17,60,60]} | [
84,
84
] | 2,237 | |
217 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In triangle ABC, as displayed in the figure, angle C is right-angled, with measurements of BC and AC being 6 and 8 units respectively. Point E is positioned ... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[4,18,33,103],"<|obj3|>":[28,0,111,111],"<|obj4|>":[0,4,56,61],"<|obj5|>":[23,88,47,108],"<|obj6|>":[28,84,103,108]} | [
112,
112
] | 2,025 | |
910 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given diagram, the rhombus ABCD has a diagonal BD measuring 4 units, and AC measures 3 times the length of BD. What is the area of rhombus ABCD?\nChoi... | {"<|obj1|>":[9,0,223,111],"<|obj2|>":[0,0,215,111],"<|obj3|>":[0,0,215,111],"<|obj4|>":[28,0,223,111],"<|obj5|>":[0,9,206,111]} | [
224,
112
] | 2,135 | |
694 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, quadrilateral ABCD is inscribed in circle O. If angle C = 100°, the degree measure of angle A is ()\nChoices:\nA: 80°\nB: 100°\nC: 11... | {"<|obj1|>":[0,11,135,139],"<|obj2|>":[0,0,139,139],"<|obj3|>":[11,11,135,129]} | [
140,
140
] | 1,730 | |
1051 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given diagram of the diamond ABCD, where AC measures 8.0 and BD measures 6.0, what is the length of each side of the diamond?\nChoices:\nA: 4\nB: 5\nC... | {"<|obj1|>":[0,0,129,111],"<|obj2|>":[5,5,139,111],"<|obj3|>":[11,5,135,111],"<|obj4|>":[64,41,105,59],"<|obj5|>":[29,17,70,111]} | [
140,
112
] | 1,467 | |
1166 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Given the perimeter of parallelogram ABCD as 40cm and BC representing two-thirds of AB, what is the length of BC in the provided diagram?\nChoices:\nA: 16cm\... | {"<|obj1|>":[7,14,161,83],"<|obj2|>":[91,63,119,77],"<|obj3|>":[91,0,133,83]} | [
168,
84
] | 1,880 | |
1399 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the figure, DE is parallel to BC, and AD = 8.0, DB = 4.0, DE = 7.0. What is the length of BC?\nChoices:\nA: 11.0\nB: 10.5\nC: 13.0\nD: 14.0.\nPlease answe... | {"<|obj1|>":[4,0,98,83],"<|obj2|>":[14,28,103,61],"<|obj3|>":[4,65,108,80]} | [
112,
84
] | 1,499 | |
974 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If the two triangles depicted in the figure are congruent, what is the degree measure of angle α?\nChoices:\nA: 80°\nB: 70°\nC: 60°\nD: 50°.\nPlease answer t... | {"<|obj1|>":[0,8,90,76],"<|obj2|>":[0,0,156,83],"<|obj3|>":[114,0,188,42],"<|obj4|>":[0,0,74,76],"<|obj5|>":[0,8,58,83],"<|obj6|>":[0,16,82,83],"<|obj7|>":[0,16,49,83]} | [
196,
84
] | 3,531 | |
530 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given diagram, the diamond ABCD has a perimeter of 20 units. If the length of diagonal AC is 8 units, what is the length of the other diagonal, BD?\nC... | {"<|obj1|>":[16,8,195,83],"<|obj2|>":[16,8,180,51],"<|obj3|>":[8,0,195,83],"<|obj4|>":[40,0,195,83],"<|obj5|>":[16,0,195,83]} | [
196,
84
] | 1,764 | |
896 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the provided diagram, where line a is parallel to line b and the right angle vertex of a right triangle is located on line b, if the degree of angle 1 is ... | {"<|obj1|>":[0,0,139,66],"<|obj2|>":[11,0,139,83],"<|obj3|>":[11,0,135,78],"<|obj4|>":[0,11,139,72]} | [
140,
84
] | 4,805 | |
1214 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given figure, let O be the center of the circle. If the measure of angle A is represented by variable x (x = 80.0°), what is the measure of angle BOC?... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[42,79,84,108],"<|obj3|>":[0,9,80,103],"<|obj4|>":[88,9,111,33],"<|obj5|>":[4,9,108,111],"<|obj6|>":[9,9,111,111],"<|obj7|>":[0,9,111,111],"<|obj8|>":[0,9,108,111]} | [
112,
112
] | 1,817 | |
7822 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Given the diagram, in triangle ABC, the exterior angle angle DCA = 110° and angle A = 75°. Find the degree measure of angle B.\nChoices:\nA: 70°\nB: 40°\nC: ... | {"<|obj1|>":[63,0,251,108],"<|obj2|>":[21,0,251,139],"<|obj3|>":[21,21,221,119],"<|obj4|>":[21,42,221,119],"<|obj5|>":[21,0,251,139]} | [
252,
140
] | 3,248 | |
248 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If the diagonals of rhombus ABCD intersect at point O, and AC measures 24 while AB measures 13, what is the area of the rhombus?\nChoices:\nA: 60\nB: 120\nC:... | {"<|obj1|>":[0,0,251,139],"<|obj2|>":[0,0,251,139],"<|obj3|>":[0,0,242,139],"<|obj4|>":[0,0,251,139],"<|obj5|>":[115,0,242,127],"<|obj6|>":[21,0,242,139],"<|obj7|>":[63,0,242,139]} | [
252,
140
] | 3,164 | |
39 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the provided figure, if the area of triangle ABC is represented by the variable X (X = 8), what is the area of triangle ABF, denoted as variable Y in rela... | {"<|obj1|>":[0,0,167,83],"<|obj2|>":[5,0,107,83],"<|obj3|>":[14,0,167,77],"<|obj4|>":[49,21,140,77],"<|obj5|>":[14,28,105,83],"<|obj6|>":[5,0,107,83]} | [
168,
84
] | 2,277 | |
556 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given figure, if in quadrilateral ABCD, angle B added to angle D equals 140 degrees, what is the measure of angle C?\nChoices:\nA: 140°\nB: 120°\nC: 1... | {"<|obj1|>":[0,0,167,83],"<|obj2|>":[70,0,154,83],"<|obj3|>":[0,0,140,83],"<|obj4|>":[119,7,154,83],"<|obj5|>":[0,0,161,83],"<|obj6|>":[70,0,161,83]} | [
168,
84
] | 2,598 | |
137 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given figure, point O is the intersection of line AB and line CD. If angle AOD measures 50.0 degrees, what is the degree measure of angle BOC?\nChoice... | {"<|obj1|>":[0,28,111,83],"<|obj2|>":[0,60,38,83],"<|obj3|>":[32,28,89,80],"<|obj4|>":[18,0,111,80],"<|obj5|>":[9,0,111,83],"<|obj6|>":[23,0,111,83],"<|obj7|>":[23,0,111,83]} | [
112,
84
] | 2,549 | |
1258 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In triangle ABC, given that DE is parallel to BC, AD is 24 units long, BD is 12 units long, and AE is 16 units long, what is the length of AC?\nChoices:\nA: ... | {"<|obj1|>":[52,0,123,71],"<|obj2|>":[11,47,41,89],"<|obj3|>":[105,58,123,83],"<|obj4|>":[11,52,123,83],"<|obj5|>":[39,22,124,107],"<|obj6|>":[15,3,114,102],"<|obj7|>":[52,0,123,71],"<|obj8|>":[105,58,129,83]} | [
140,
112
] | 1,925 | |
1183 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given diagram, wood pieces a, b, and c are nailed together. If angle 1 measures 100° and angle 2 measures 60°, what is the minimum degree of clockwise... | {"<|obj1|>":[110,11,129,24],"<|obj2|>":[93,58,135,111],"<|obj3|>":[0,0,59,101]} | [
140,
112
] | 2,624 | |
451 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If triangle ABC is the inscribed triangle of circle O and angle AOB is 135.0 degrees, what is the value of angle ACB?\nChoices:\nA: 35°\nB: 55°\nC: 60°\nD: 6... | {"<|obj1|>":[0,52,48,139],"<|obj2|>":[0,17,111,129],"<|obj3|>":[0,11,95,139],"<|obj4|>":[9,9,108,108]} | [
112,
140
] | 2,275 | |
1761 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Given that l1 is parallel to l2 in the figure, and the degree measure of angle 1 is 76°, what is the measure of angle 2?\nChoices:\nA: 14°\nB: 76°\nC: 84°\nD... | {"<|obj1|>":[52,8,123,80],"<|obj2|>":[105,64,129,89],"<|obj3|>":[40,8,111,80],"<|obj4|>":[0,0,123,95],"<|obj5|>":[40,5,123,95]} | [
140,
112
] | 3,142 | |
337 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: When quadrilateral ABCD is inscribed in circle O and angle BOD is 108 degrees as shown in the diagram, what is the measure of angle BCD?\nChoices:\nA: 127°\n... | {"<|obj1|>":[11,5,95,123],"<|obj2|>":[0,0,111,139],"<|obj3|>":[20,40,91,111]} | [
112,
140
] | 2,478 | |
769 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Given a figure depicting triangle ABC with BC being parallel to ED, and angle C measuring 65°, determine the measure of angle CED. Express the measure of ang... | {"<|obj1|>":[0,5,139,106],"<|obj2|>":[11,47,88,71],"<|obj3|>":[99,0,139,65],"<|obj4|>":[11,0,139,111],"<|obj5|>":[29,0,139,111]} | [
140,
112
] | 3,292 | |
12051 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the diagram, the diagonals of rectangle ABCD intersect at point O. The angle bisector of angle BAD intersects BC at point E. If angle OAE = 15°, ... | {"<|obj1|>":[0,0,139,106],"<|obj2|>":[0,5,123,106],"<|obj3|>":[0,0,129,111],"<|obj4|>":[52,29,82,89],"<|obj5|>":[17,23,105,111],"<|obj6|>":[58,0,135,111]} | [
140,
112
] | 2,412 | |
362 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: When considering the figure of parallelogram ABCD and taking note that line CE is perpendicular to AB and passes through point C, with the foot of the perpen... | {"<|obj1|>":[0,0,159,111],"<|obj2|>":[130,65,187,111],"<|obj3|>":[28,9,84,47],"<|obj4|>":[18,0,159,103],"<|obj5|>":[56,0,168,111],"<|obj6|>":[18,0,215,103],"<|obj7|>":[18,0,197,111]} | [
224,
112
] | 2,631 | |
166 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: When considering right triangle ABC shown in the figure, with angle C measuring 90 degrees, AC measuring 4 units, and BC measuring 3 units, what is the sine ... | {"<|obj1|>":[0,0,83,111],"<|obj2|>":[28,4,83,111],"<|obj3|>":[0,84,75,108],"<|obj4|>":[23,28,80,111]} | [
84,
112
] | 1,673 | |
948 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In triangle ABC depicted in the figure, where point O is located inside, angle A measures 60°, and BO and CO are the angle bisectors of angle ABC and angle A... | {"<|obj1|>":[0,0,139,83],"<|obj2|>":[58,0,105,54],"<|obj3|>":[58,0,100,66],"<|obj4|>":[64,0,135,71],"<|obj5|>":[0,0,139,83]} | [
140,
84
] | 2,895 | |
1923 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Considering the given figure, where a grid is depicted with a side length of 1 for each small square, can you determine the value of cosangle ABC?\nChoices:\... | {"<|obj1|>":[0,0,139,111],"<|obj2|>":[0,76,35,106],"<|obj3|>":[64,0,94,95],"<|obj4|>":[40,0,139,111],"<|obj5|>":[28,0,139,111]} | [
140,
112
] | 1,736 | |
1270 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Consider two concentric circles, where the radius of the larger circle is denoted as 'bigR' units (bigR = 5.0) and the radius of the smaller circle is repres... | {"<|obj1|>":[0,4,111,111],"<|obj2|>":[46,32,103,89],"<|obj3|>":[0,4,103,108]} | [
112,
112
] | 3,330 | |
461 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In right triangle ABC, CD is the median on the hypotenuse AB. If CD is equal to 5.0 and AC is equal to 6.0, what is the value of the tangent of angle B? Expr... | {"<|obj1|>":[93,0,139,66],"<|obj2|>":[11,11,129,78],"<|obj3|>":[35,0,139,83],"<|obj4|>":[0,11,139,83],"<|obj5|>":[0,0,139,83],"<|obj6|>":[0,23,139,83]} | [
140,
84
] | 1,853 | |
1465 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Consider the figure where a large parasol is represented. When its umbrella surface is expanded, the shape can be closely approximated to that of a cone. The... | {"<|obj1|>":[0,0,139,106],"<|obj2|>":[11,0,139,111]} | [
140,
112
] | 991 | |
700 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, AD is the angular bisector of triangle ABC, AE is the angular bisector of triangle ABD, if angle BAC = 76.0, then the degree of angle... | {"<|obj1|>":[42,14,98,70],"<|obj2|>":[32,4,84,83],"<|obj3|>":[51,42,66,83],"<|obj4|>":[37,14,80,83],"<|obj5|>":[4,0,111,83],"<|obj6|>":[28,4,98,83]} | [
112,
84
] | 2,601 | |
1881 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If triangle ABC has angle C at 90 degrees and angle BAC at 70 degrees, and it is rotated clockwise around point A by 70 degrees in the figure, resulting in t... | {"<|obj1|>":[5,0,139,111],"<|obj2|>":[11,0,135,95],"<|obj3|>":[70,15,139,86],"<|obj4|>":[11,58,59,101]} | [
140,
112
] | 1,907 | |
517 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Given the figure, lines a and b intersect lines a and b, and lines a and b are parallel. If angle 1 is 60°, what is the degree of angle 2?\nChoices:\nA: 60°\... | {"<|obj1|>":[0,14,147,139],"<|obj2|>":[14,7,147,139],"<|obj3|>":[0,49,140,63],"<|obj4|>":[0,77,154,105],"<|obj5|>":[35,7,119,91]} | [
168,
140
] | 4,335 | |
390 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If line a is parallel to line b and line c is an intercept in the provided figure, and angle 1 is 60°, what is the measure of angle 2? \nChoices:\nA: 30°\nB:... | {"<|obj1|>":[0,0,111,83],"<|obj2|>":[0,0,111,83],"<|obj3|>":[0,0,111,83]} | [
112,
84
] | 2,487 | |
1041 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If in the figure AB is parallel to CD and CB is perpendicular to DB, with angle D measuring 65.0 degrees, what is the value of angle ABC?\nChoices:\nA: 25°\n... | {"<|obj1|>":[0,4,28,24],"<|obj2|>":[0,28,94,55],"<|obj3|>":[22,0,111,55],"<|obj4|>":[65,9,94,55],"<|obj5|>":[28,9,103,55],"<|obj6|>":[65,9,89,28],"<|obj7|>":[65,9,89,28],"<|obj8|>":[65,9,89,24]} | [
112,
56
] | 2,417 | |
1141 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Given the figure displaying an equilateral triangle labeled ABC, and knowing that the line segment DE is parallel to BC, if AB has a length of 7 units and BD... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[4,56,98,84],"<|obj3|>":[4,51,61,108]} | [
112,
112
] | 1,693 | |
1913 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In triangle ABC, DE is parallel to BC. If AD/AB = 2/4 and AE = 4, what is the length of AC?\nChoices:\nA: 16.0\nB: 12.0\nC: 8.0\nD: 4.0.\nPlease answer the q... | {"<|obj1|>":[5,11,105,106],"<|obj2|>":[35,35,105,53],"<|obj3|>":[0,76,139,111],"<|obj4|>":[35,35,105,53],"<|obj5|>":[0,0,117,111],"<|obj6|>":[87,41,105,53],"<|obj7|>":[75,0,139,111],"<|obj8|>":[39,22,124,107],"<|obj9|>":[58,17,111,101],"<|obj10|>":[5,0,111,111],"<|obj11|>":[58,17,111,101],"<|obj12|>":[29,0,139,111]} | [
140,
112
] | 1,937 | |
859 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given diagram, let angle 1 be represented by the variable 'm' where m = 105°, and DF is parallel to AB. What is the numerical value of angle D, expres... | {"<|obj1|>":[0,0,195,96],"<|obj2|>":[155,23,180,48],"<|obj3|>":[171,87,188,111],"<|obj4|>":[24,0,188,96],"<|obj5|>":[16,0,195,111]} | [
196,
112
] | 2,288 | |
569 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, A, B, and C are three points on circle O with a radius of 1.0. Given that angle C = 30.0, the length of chord AB is ()\nChoices:\nA: ... | {"<|obj1|>":[0,9,56,66],"<|obj2|>":[4,79,80,111],"<|obj3|>":[65,84,80,111],"<|obj4|>":[84,9,103,52],"<|obj5|>":[4,79,84,111],"<|obj6|>":[23,42,80,98],"<|obj7|>":[28,14,84,108],"<|obj8|>":[46,9,103,94],"<|obj9|>":[4,4,89,98],"<|obj10|>":[4,4,94,111]} | [
112,
112
] | 2,344 | |
1948 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Given a right-angled triangle ΔABC, where angle C measures 90.0 degrees, and side AC has a length of 'a' units (a = 15.0) and side BC has a length of 'b' uni... | {"<|obj1|>":[0,0,111,83],"<|obj2|>":[37,60,111,83],"<|obj3|>":[0,0,111,83],"<|obj4|>":[65,0,111,83],"<|obj5|>":[0,0,111,83]} | [
112,
84
] | 2,515 | |
1953 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Given a right-angled triangle PQR, with angle R equal to 90.0 degrees, and side PQ measuring 5.0 units while side PR measures 4.0 units, compute the value of... | {"<|obj1|>":[0,0,111,83],"<|obj2|>":[79,0,111,83],"<|obj3|>":[14,0,111,83],"<|obj4|>":[23,0,111,83],"<|obj5|>":[51,0,108,56],"<|obj6|>":[13,3,81,71]} | [
112,
84
] | 1,842 | |
1290 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, in the rectangle ABCD, E is on AD, and EF perpendicular EC, EF = EC, DE = 2.0, the perimeter of the rectangle is 16.0, then the leng... | {"<|obj1|>":[0,11,101,111],"<|obj2|>":[91,0,119,84],"<|obj3|>":[91,21,119,84],"<|obj4|>":[91,21,119,77],"<|obj5|>":[77,0,161,84],"<|obj6|>":[0,0,167,111],"<|obj7|>":[0,77,70,111],"<|obj8|>":[0,0,118,111],"<|obj9|>":[140,77,161,111],"<|obj10|>":[140,77,161,111],"<|obj11|>":[0,42,42,63]} | [
168,
112
] | 4,274 | |
455 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If AB equals CD and BC equals AD in the figure, and angle B is measured at 23 degrees, what is the value of angle D?\nChoices:\nA: 23°\nB: 46°\nC: 67°\nD: 0°... | {"<|obj1|>":[0,4,103,55],"<|obj2|>":[0,0,103,52],"<|obj3|>":[74,4,108,42],"<|obj4|>":[9,4,103,55],"<|obj5|>":[65,4,103,55],"<|obj6|>":[23,32,75,55]} | [
112,
56
] | 1,556 | |
1698 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given figure, lines AB and CD intersect at point O. If angle AOC measures 35°, what is the measure of angle BOD?\nChoices:\nA: 30°\nB: 35°\nC: 55°\nD:... | {"<|obj1|>":[126,7,147,21],"<|obj2|>":[126,49,154,63],"<|obj3|>":[21,0,140,83],"<|obj4|>":[21,0,161,83],"<|obj5|>":[35,0,154,83]} | [
168,
84
] | 1,580 | |
1819 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If we have triangle ABC and points D and E are the midpoints of sides AB and AC, and they are connected by DE, and angle B equals 50 degrees while angle A eq... | {"<|obj1|>":[0,0,123,111],"<|obj2|>":[29,29,76,83],"<|obj3|>":[105,41,123,59],"<|obj4|>":[81,0,111,36],"<|obj5|>":[81,5,123,53],"<|obj6|>":[35,35,123,71],"<|obj7|>":[0,0,82,106],"<|obj8|>":[75,0,111,95]} | [
140,
112
] | 1,764 | |
1760 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Given a right triangle with an angle referred to as 1, which equals 50.0 degrees, find the measurement 'z' degrees of angle 2 within the same triangle.\nChoi... | {"<|obj1|>":[0,18,111,55],"<|obj2|>":[0,0,111,55],"<|obj3|>":[0,0,111,55],"<|obj4|>":[0,0,111,55]} | [
112,
56
] | 1,783 |