id string | image image | conversations list | regions string | image_size list | num_tokens int64 |
|---|---|---|---|---|---|
649 | [
{
"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 length of AB in diamond ABCD is 6.0 units and angle A measures 30.0 degrees, what is the total area of the diamond?\nChoices:\nA: 15\nB: 18\nC: 30\nD:... | {"<|obj1|>":[18,0,223,55],"<|obj2|>":[18,0,223,55],"<|obj3|>":[28,0,223,55],"<|obj4|>":[0,9,47,55],"<|obj5|>":[102,37,140,55]} | [
224,
56
] | 3,581 | |
889 | [
{
"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, the radius of circle O is 1.0, the distance from point O to line l is 1.5, point P is a moving point on line l, PQ is tangent to circle ... | {"<|obj1|>":[105,0,139,111],"<|obj2|>":[17,0,129,89],"<|obj3|>":[11,11,139,101],"<|obj4|>":[23,35,65,59]} | [
140,
112
] | 3,625 | |
1794 | [
{
"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 points A, B, and C lie on circle O, and angle AOB measures 70.0 degrees, what is the measure of angle ACB in degrees?\nChoices:\nA: 20°\nB: 35°\nC... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[23,74,84,111],"<|obj3|>":[70,84,84,111],"<|obj4|>":[79,14,111,98],"<|obj5|>":[42,32,61,61]} | [
112,
112
] | 1,741 | |
750 | [
{
"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: Determine the perimeter of triangle BOC created inside parallelogram ABCD, with BC measuring 10.0 units, AC measuring 8.0 units, and BD measuring 14.0 units.... | {"<|obj1|>":[7,0,167,83],"<|obj2|>":[35,21,147,83],"<|obj3|>":[91,0,161,83],"<|obj4|>":[14,21,126,83],"<|obj5|>":[98,21,126,83],"<|obj6|>":[98,14,154,83],"<|obj7|>":[98,21,154,83]} | [
168,
84
] | 1,645 | |
1801 | [
{
"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 provided diagram, triangle ABC is depicted with D and E representing the midpoints of sides BC and BA respectively, and the area of triangle ABC is... | {"<|obj1|>":[11,0,139,95],"<|obj2|>":[58,82,82,106],"<|obj3|>":[52,35,94,59],"<|obj4|>":[11,0,129,111],"<|obj5|>":[105,5,135,36]} | [
140,
112
] | 2,595 | |
365 | [
{
"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, angle A = 90.0, if AB = 8.0, AC = 6.0, then the value of cosC is ()\nChoices:\nA: \\frac{3}{5}\nB: \\frac{4}{5}\nC: ... | {"<|obj1|>":[23,0,111,83],"<|obj2|>":[0,60,28,80],"<|obj3|>":[88,18,111,80],"<|obj4|>":[14,0,111,83]} | [
112,
84
] | 1,830 | |
582 | [
{
"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 perimeter of triangle ABC is 2 and DE is the median of triangle ABC, what is the perimeter of triangle ADE as shown in the diagram?\nChoices:\nA: 1\nB... | {"<|obj1|>":[0,0,89,111],"<|obj2|>":[0,18,98,103],"<|obj3|>":[4,0,111,111],"<|obj4|>":[42,4,89,42],"<|obj5|>":[70,9,84,28],"<|obj6|>":[9,84,108,108]} | [
112,
112
] | 4,123 | |
1895 | [
{
"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 two concentric circles with point O as the center, the chord AB of the larger circle is tangent to the smaller circle at point C. If the ra... | {"<|obj1|>":[0,9,56,66],"<|obj2|>":[23,18,70,47],"<|obj3|>":[42,32,84,70],"<|obj4|>":[0,65,103,111],"<|obj5|>":[9,0,111,111]} | [
112,
112
] | 1,948 | |
1231 | [
{
"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 depicts a slope with angle B measuring 30.0 degrees, and its horizontal length BC measures 30.0 units. Determine the length... | {"<|obj1|>":[9,0,111,83],"<|obj2|>":[37,23,94,80]} | [
112,
84
] | 1,735 | |
1652 | [
{
"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 given diagram, where AB represents the diameter of circle O and point C lies on circle O. Let's denote angle A as variable w, where w = 24°. Wha... | {"<|obj1|>":[11,0,129,111],"<|obj2|>":[40,29,139,111],"<|obj3|>":[17,0,139,53],"<|obj4|>":[11,5,117,83],"<|obj5|>":[17,0,135,53],"<|obj6|>":[17,5,117,83],"<|obj7|>":[11,11,123,101],"<|obj8|>":[11,0,123,106],"<|obj9|>":[17,0,123,111],"<|obj10|>":[11,0,129,65],"<|obj11|>":[17,11,123,111]} | [
140,
112
] | 2,959 | |
672 | [
{
"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 is represented by the variable 'x' (x = 90°), AC is 4, and BC is 2, a square is constructed outside the triangle with AB as on... | {"<|obj1|>":[9,18,111,111],"<|obj2|>":[41,0,109,67],"<|obj3|>":[0,0,111,111],"<|obj4|>":[0,56,56,111],"<|obj5|>":[9,0,111,94]} | [
112,
112
] | 1,596 | |
1789 | [
{
"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, in triangle ABC, AB = AC = 12, BC = 10. AD bisects angle BAC and intersects BC at point D. Point E is the midpoint of AC. Connect DE... | {"<|obj1|>":[14,0,167,139],"<|obj2|>":[14,14,154,139],"<|obj3|>":[133,28,161,77],"<|obj4|>":[42,91,98,119],"<|obj5|>":[70,49,154,133]} | [
168,
140
] | 2,570 | |
27 | [
{
"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, the distance between the midpoint M on one side of the diamond ABCD and the diagonal intersection O is 5.0, then the perimeter of the... | {"<|obj1|>":[0,0,167,111],"<|obj2|>":[7,35,84,63],"<|obj3|>":[70,28,98,63],"<|obj4|>":[35,0,140,21],"<|obj5|>":[0,70,21,98],"<|obj6|>":[98,77,112,111],"<|obj7|>":[119,7,167,35]} | [
168,
112
] | 2,306 | |
202 | [
{
"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 illustrating circle O and its diameter MN, with a radius of 2.0 units, find the minimum value of PA + PB. Point A is positioned on circle O,... | {"<|obj1|>":[5,5,82,89],"<|obj2|>":[58,52,88,89],"<|obj3|>":[0,28,84,111],"<|obj4|>":[87,0,100,36],"<|obj5|>":[105,17,129,48]} | [
140,
112
] | 2,576 | |
1560 | [
{
"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 is the diameter of circle O and points C and D lie on the circle, with angle BAC measuring 35 degrees, what is the measure of angle ADC?\nChoices:\nA: ... | {"<|obj1|>":[0,0,105,133],"<|obj2|>":[7,21,98,139],"<|obj3|>":[84,0,161,56],"<|obj4|>":[119,98,147,126],"<|obj5|>":[14,0,167,139],"<|obj6|>":[35,0,161,139],"<|obj7|>":[35,0,167,105],"<|obj8|>":[35,0,161,119],"<|obj9|>":[21,0,167,126]} | [
168,
140
] | 1,865 | |
781 | [
{
"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 points A, B, and C lie on circle O, and angle A measures 50 degrees, what is the value of angle OBC?\nChoices:\nA: 50°\nB: 40°... | {"<|obj1|>":[0,4,111,108],"<|obj2|>":[23,9,103,103],"<|obj3|>":[46,9,103,66],"<|obj4|>":[0,0,111,111],"<|obj5|>":[21,12,100,91],"<|obj6|>":[9,4,103,33],"<|obj7|>":[14,9,111,89],"<|obj8|>":[0,9,111,111]} | [
112,
112
] | 2,099 | |
557 | [
{
"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 given figure portrays a rhombus ABCD, with diagonal AC intersecting diagonal BD at point O and H being the midpoint of side AD, and if the perimeter o... | {"<|obj1|>":[0,7,133,83],"<|obj2|>":[77,0,98,21],"<|obj3|>":[0,0,56,83],"<|obj4|>":[70,63,98,83],"<|obj5|>":[133,35,167,70],"<|obj6|>":[14,14,161,77],"<|obj7|>":[7,28,167,77],"<|obj8|>":[35,35,167,83],"<|obj9|>":[105,0,167,83],"<|obj10|>":[14,0,167,83],"<|obj11|>":[14,0,167,83]} | [
168,
84
] | 2,755 | |
264 | [
{
"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 angle A in triangle ABC measures 50.0 degrees and the bisector of angle ABC intersects with the outer bisector of angle ACB at point D, what is th... | {"<|obj1|>":[5,0,139,106],"<|obj2|>":[5,11,139,101],"<|obj3|>":[35,15,105,86],"<|obj4|>":[11,23,139,95],"<|obj5|>":[35,17,139,89]} | [
140,
112
] | 4,318 | |
1436 | [
{
"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, points A, B, and C lie on the circumference. If the measure of angle AOB is 76°, what is the measure of angle C? Represent the measure... | {"<|obj1|>":[17,11,129,123],"<|obj2|>":[11,0,139,139],"<|obj3|>":[52,0,139,139]} | [
140,
140
] | 1,661 | |
1814 | [
{
"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 square ABCD, with point E lying on side CD, if the area of triangle ABE is 8 and CE measures 3 units, what is the length of segment BE? Represent the ... | {"<|obj1|>":[0,4,98,98],"<|obj2|>":[14,4,111,89],"<|obj3|>":[14,4,89,98]} | [
112,
112
] | 2,828 | |
790 | [
{
"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 circle O, A, B, and C are positioned on its circumference. If the angle BOC is expressed as 'y' degrees, what value does angle BAC hold?\nC... | {"<|obj1|>":[51,4,108,61],"<|obj2|>":[14,0,42,28],"<|obj3|>":[4,84,24,98],"<|obj4|>":[84,84,98,103],"<|obj5|>":[9,0,111,98],"<|obj6|>":[4,0,111,108]} | [
112,
112
] | 1,488 | |
1599 | [
{
"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, where MN represents the chord of circle O and angle M is measured at 50.0 degrees, what is the measure of angle MON?\nChoices:\nA: 50... | {"<|obj1|>":[0,0,111,84],"<|obj2|>":[9,0,103,111],"<|obj3|>":[28,14,70,66],"<|obj4|>":[9,0,103,111]} | [
112,
112
] | 2,229 | |
516 | [
{
"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, AB is parallel to CD, DA is perpendicular to DB, and angle ADC measures 32°. Find the measure of angle ABD using the given information. ... | {"<|obj1|>":[32,0,131,83],"<|obj2|>":[0,35,105,83],"<|obj3|>":[0,29,111,83],"<|obj4|>":[64,13,135,83],"<|obj5|>":[42,0,139,83],"<|obj6|>":[40,0,139,83],"<|obj7|>":[35,0,139,83],"<|obj8|>":[35,0,139,78],"<|obj9|>":[35,0,139,83]} | [
140,
84
] | 3,173 | |
1549 | [
{
"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's denote the central angle AOB as variable x (x = 44.0 degrees) and the degree of angle ADC as variable y. If arc AB is equal to arc... | {"<|obj1|>":[0,5,111,123],"<|obj2|>":[41,0,65,30],"<|obj3|>":[82,29,101,41],"<|obj4|>":[11,11,30,129],"<|obj5|>":[5,110,30,139],"<|obj6|>":[32,11,103,82],"<|obj7|>":[16,22,101,107],"<|obj8|>":[76,11,101,41],"<|obj9|>":[29,5,101,105],"<|obj10|>":[11,0,106,129]} | [
112,
140
] | 2,506 | |
1653 | [
{
"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 figure given, which represents triangle ABC, if angle A is measured at 50° and angle C is measured at 60°, and the bisector of angle ABC is B... | {"<|obj1|>":[16,8,195,116],"<|obj2|>":[57,49,188,116],"<|obj3|>":[73,65,188,139],"<|obj4|>":[106,0,188,116],"<|obj5|>":[81,32,195,132]} | [
196,
140
] | 2,457 | |
391 | [
{
"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, triangle ABC is shown with AB = AC = 12, BC = 8. The angle BAC is bisected by line AD, which intersects BC at point D. E is the midpoint of AC... | {"<|obj1|>":[35,32,105,103],"<|obj2|>":[35,29,139,111],"<|obj3|>":[5,41,24,65],"<|obj4|>":[105,0,129,18],"<|obj5|>":[105,100,135,111],"<|obj6|>":[11,35,129,71],"<|obj7|>":[99,35,135,65],"<|obj8|>":[52,64,117,111]} | [
140,
112
] | 2,363 | |
413 | [
{
"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, triangle ABC similar triangle ADE, if AB = 9.0, AD = 3.0, DE = 2.0, then the length of BC is ()\nChoices:\nA: 4\nB: 6\nC: 8\nD: 7.\n... | {"<|obj1|>":[4,9,103,111],"<|obj2|>":[0,0,111,108],"<|obj3|>":[0,14,80,111],"<|obj4|>":[28,4,89,103],"<|obj5|>":[28,28,89,52]} | [
112,
112
] | 2,048 | |
1919 | [
{
"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, three points A, B, and C lie on circle O. If angle ACB measures 50.0 degrees, what is the measure of angle AOB? Express your answer as x... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[51,84,89,111],"<|obj3|>":[0,28,42,103],"<|obj4|>":[65,60,111,98],"<|obj5|>":[51,51,108,108],"<|obj6|>":[23,0,108,108]} | [
112,
112
] | 1,828 | |
574 | [
{
"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 with line m parallel to line n and vertex A of right triangle ABC (with angle C equalling 90°) lying on line n, determine the degree measure... | {"<|obj1|>":[0,0,167,119],"<|obj2|>":[14,35,161,63],"<|obj3|>":[7,105,28,126],"<|obj4|>":[0,0,167,139],"<|obj5|>":[70,28,98,98],"<|obj6|>":[35,98,70,126]} | [
168,
140
] | 2,113 | |
266 | [
{
"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 picture showcases a cone with a base radius of 1.0 and a height of 2.0. Can you determine the lateral area of this cone?\nChoices:\nA: √{3}\nB: √{3}π\nC:... | {"<|obj1|>":[0,0,139,195],"<|obj2|>":[0,0,139,139]} | [
140,
196
] | 1,627 | |
519 | [
{
"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, points D, E, and F are the midpoints of the three sides of triangle ABC. If the perimeter of triangle DEF is 40 units, then what is the... | {"<|obj1|>":[4,0,89,98],"<|obj2|>":[4,0,108,108],"<|obj3|>":[0,0,94,111],"<|obj4|>":[46,88,66,111],"<|obj5|>":[84,18,108,66]} | [
112,
112
] | 2,212 | |
1635 | [
{
"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 triangle ABC portrayed in the provided figure, with angle ABC determined to be 50 degrees and angle ACB determined to be 80 degrees. If the angl... | {"<|obj1|>":[17,17,123,83],"<|obj2|>":[5,0,59,78],"<|obj3|>":[11,0,135,83],"<|obj4|>":[11,0,139,72],"<|obj5|>":[0,5,76,83],"<|obj6|>":[11,3,82,74]} | [
140,
84
] | 2,102 | |
315 | [
{
"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 B in triangle ABC measures 38 degrees, angle C measures 54 degrees, AE is the altitude on side BC, and AD is the bisector of angle BAC, what is the ... | {"<|obj1|>":[5,11,123,106],"<|obj2|>":[81,0,105,77],"<|obj3|>":[75,0,105,71],"<|obj4|>":[29,0,123,101],"<|obj5|>":[17,0,123,101],"<|obj6|>":[52,3,123,74],"<|obj7|>":[17,0,123,101],"<|obj8|>":[29,0,139,111],"<|obj9|>":[46,5,139,111],"<|obj10|>":[58,88,100,111],"<|obj11|>":[75,70,111,111],"<|obj12|>":[17,5,129,101],"<|ob... | [
140,
112
] | 2,902 | |
1029 | [
{
"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, O represents the point of intersection between the diagonals of parallelogram ABCD. Given that AC has a length of 10.0 units, BD mea... | {"<|obj1|>":[0,0,167,83],"<|obj2|>":[7,0,167,83],"<|obj3|>":[7,0,167,83],"<|obj4|>":[0,0,167,77],"<|obj5|>":[7,49,126,83],"<|obj6|>":[147,0,167,77]} | [
168,
84
] | 1,340 | |
236 | [
{
"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, angle AOC measures 90.0 degrees and angle BOD measures 90.0 degrees. If angle AOB measures 150.0 degrees, what is the measure of angle D... | {"<|obj1|>":[0,17,24,42],"<|obj2|>":[52,59,76,83],"<|obj3|>":[122,59,135,78],"<|obj4|>":[17,0,100,30],"<|obj5|>":[81,0,111,54],"<|obj6|>":[0,0,117,83],"<|obj7|>":[29,17,139,78],"<|obj8|>":[0,5,105,83],"<|obj9|>":[35,0,117,83],"<|obj10|>":[0,17,41,60],"<|obj11|>":[122,59,135,78],"<|obj12|>":[58,17,105,60],"<|obj13|>":[0... | [
140,
84
] | 2,911 | |
8222 | [
{
"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, in circle O, the diameter AB = 15, chord DE is perpendicular to AB at point C. If OC : OB = 0.6, the length of DE is ()\nChoices:\nA... | {"<|obj1|>":[58,23,139,111],"<|obj2|>":[93,41,139,65],"<|obj3|>":[0,0,139,111],"<|obj4|>":[29,11,100,95],"<|obj5|>":[52,15,123,86],"<|obj6|>":[110,35,135,65]} | [
140,
112
] | 1,649 | |
644 | [
{
"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 triangle ABC, D and E are the midpoints of sides AB and AC, and BC is measured at 6, what is the length of line segment DE as illustrated in the figure... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[0,0,94,111],"<|obj3|>":[74,42,103,103],"<|obj4|>":[4,79,14,98],"<|obj5|>":[79,42,98,61]} | [
112,
112
] | 2,232 | |
1247 | [
{
"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 length of diagonals BD and AC in rhombus ABCD, with side length 5cm, are 6cm and x cm respectively, what is the measure of x?\nChoices:\nA: 8cm\nB: 4c... | {"<|obj1|>":[0,0,111,108],"<|obj2|>":[4,4,89,108],"<|obj3|>":[4,14,108,108],"<|obj4|>":[42,46,66,70],"<|obj5|>":[0,0,111,111]} | [
112,
112
] | 1,536 | |
616 | [
{
"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's denote the measure of angle B as variable x (x = 72°). What is the measure of angle D, expressed as variable y in relation to x?\n... | {"<|obj1|>":[14,28,133,167],"<|obj2|>":[14,0,139,167],"<|obj3|>":[0,7,105,133],"<|obj4|>":[0,0,139,167]} | [
140,
168
] | 1,519 | |
1813 | [
{
"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, the diagonals of rectangle ABCD intersect at point O, forming an angle AOB equal to 60 degrees. Given that AO is 6 units in length, what... | {"<|obj1|>":[0,4,111,83],"<|obj2|>":[42,9,98,66],"<|obj3|>":[28,4,108,66],"<|obj4|>":[46,23,66,80]} | [
112,
84
] | 1,961 | |
483 | [
{
"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 presented diagram, if line a is parallel to line b and the measure of angle 1 is 68.0 degrees, then what is the measure of angle 2? Let the measure of... | {"<|obj1|>":[0,0,111,83],"<|obj2|>":[79,28,94,42],"<|obj3|>":[79,51,89,70],"<|obj4|>":[9,0,111,83],"<|obj5|>":[9,0,38,83]} | [
112,
84
] | 955 | |
1113 | [
{
"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 denote angle A in the given diagram as variable u where u = 40°. Angle CBD, the exterior angle of triangle ABC, is represented by the variable v where ... | {"<|obj1|>":[9,0,70,111],"<|obj2|>":[0,30,79,110],"<|obj3|>":[14,0,111,75]} | [
112,
112
] | 1,839 | |
1502 | [
{
"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, where AB serves as the diameter and C is a point on the circle, if the measurement of angle OCA is 25.0, then what is the measurement ... | {"<|obj1|>":[0,5,139,88],"<|obj2|>":[11,5,139,139],"<|obj3|>":[81,99,111,135],"<|obj4|>":[11,0,139,139],"<|obj5|>":[11,0,139,139],"<|obj6|>":[11,0,139,139],"<|obj7|>":[11,0,139,139],"<|obj8|>":[11,11,135,139]} | [
140,
140
] | 3,303 | |
1532 | [
{
"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 ACB is congruent to triangle A'CB' and angle BCB' is 30 degrees in the diagram, what is the measurement of angle ACA'?\nChoices:\nA: 30°\nB: 20°\... | {"<|obj1|>":[0,0,83,55],"<|obj2|>":[10,0,74,42],"<|obj3|>":[21,0,83,55],"<|obj4|>":[8,0,83,55]} | [
84,
56
] | 2,464 | |
1396 | [
{
"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, let's denote angle 1 as variable 'a' where a = 105°. If line m is parallel to line n, what is the degree measure of angle 2, express... | {"<|obj1|>":[0,21,133,55],"<|obj2|>":[0,0,133,55],"<|obj3|>":[7,0,154,55],"<|obj4|>":[49,0,161,55],"<|obj5|>":[49,0,167,55]} | [
168,
56
] | 2,367 | |
5328 | [
{
"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 ABCD, angle B + angle D = 140°, the degree of angle C is ()\nChoices:\nA: 140°\nB: 120°\nC: 110°\nD: 100°.\nPlease answer the ques... | {"<|obj1|>":[7,0,167,83],"<|obj2|>":[70,0,154,83]} | [
168,
84
] | 1,143 | |
1165 | [
{
"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 depicting triangle ABC, AB is equal to AC. Additionally, AD and CE function as the medians and angle bisectors of triangle ABC respectively. G... | {"<|obj1|>":[0,0,83,83],"<|obj2|>":[24,3,67,46],"<|obj3|>":[35,0,53,21],"<|obj4|>":[31,3,74,46],"<|obj5|>":[0,0,74,83],"<|obj6|>":[28,0,83,83]} | [
84,
84
] | 2,602 | |
10015 | [
{
"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, AB is the diameter of circle O, C and D are points on circle O, if angle ABC = 54.0, then angle BDC is equal to ()\nChoices:\nA: 36°\... | {"<|obj1|>":[4,9,84,94],"<|obj2|>":[0,37,103,84],"<|obj3|>":[60,0,84,28],"<|obj4|>":[74,74,103,111]} | [
112,
112
] | 1,150 | |
311 | [
{
"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 featuring triangle ABC, where AD is the median on side BC, and in triangle ABD, BE acts as the median on side AD, if the area of triangle A... | {"<|obj1|>":[8,0,195,111],"<|obj2|>":[49,15,123,96],"<|obj3|>":[0,0,195,111],"<|obj4|>":[8,0,195,111]} | [
196,
112
] | 1,926 | |
1868 | [
{
"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 length of the slant height AB of the cone is 10cm and the height AO is 6cm. Therefore, the surface area of the cone is ().\nChoi... | {"<|obj1|>":[0,51,103,80],"<|obj2|>":[0,0,103,70],"<|obj3|>":[32,4,61,42]} | [
112,
84
] | 1,230 | |
624 | [
{
"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 provided, where line a runs parallel to line b, and line l intersects lines a and b at points A and B respectively, the perpendicular... | {"<|obj1|>":[110,17,129,36],"<|obj2|>":[122,53,135,78],"<|obj3|>":[17,0,59,30],"<|obj4|>":[5,0,139,83],"<|obj5|>":[5,47,111,78],"<|obj6|>":[17,5,59,30],"<|obj7|>":[5,17,35,83],"<|obj8|>":[99,59,117,78],"<|obj9|>":[70,41,117,83]} | [
140,
84
] | 3,642 | |
494 | [
{
"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 angle 1 is equal to 53°, what is the value of angle 3 in this context?\nChoices:\nA: 53°\nB: 83°\nC: 103°\nD: 127°.\nPlea... | {"<|obj1|>":[60,0,89,28],"<|obj2|>":[84,42,103,66],"<|obj3|>":[9,0,111,111],"<|obj4|>":[4,42,103,111]} | [
112,
112
] | 2,505 | |
609 | [
{
"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 the set-square is arranged in the manner shown in the figure, what is the degree measure of angle α?\nChoices:\nA: 45°\nB: 60°\nC: 75°\nD: 90°.\nPlease ... | {"<|obj1|>":[0,0,111,55],"<|obj2|>":[0,0,98,55],"<|obj3|>":[0,0,111,55],"<|obj4|>":[45,0,111,55]} | [
112,
56
] | 1,822 | |
250 | [
{
"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 triangle ABC shown in the figure, points D and E are midpoints of sides BC and AB, respectively, and the area of triangle AED is determined to be 3 squ... | {"<|obj1|>":[7,0,167,139],"<|obj2|>":[42,105,91,139],"<|obj3|>":[7,49,91,133],"<|obj4|>":[0,0,167,139]} | [
168,
140
] | 3,404 | |
436 | [
{
"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 D and E be points on the sides AB and AC of triangle ABC respectively, such that DE is parallel to the side BC. If the ratio of the area of triangle ADE ... | {"<|obj1|>":[4,0,111,111],"<|obj2|>":[9,4,61,108],"<|obj3|>":[79,32,89,47],"<|obj4|>":[32,32,89,56],"<|obj5|>":[9,88,24,98],"<|obj6|>":[23,4,94,108],"<|obj7|>":[14,18,98,108],"<|obj8|>":[0,65,70,108]} | [
112,
112
] | 5,212 | |
823 | [
{
"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 diagram shows lines a and b as parallel, and angle 1 is 60°, then what is the degree measure of angle 2?\nChoices:\nA: 90°\nB: 100°\nC: 110°\nD: 120°.... | {"<|obj1|>":[0,0,167,83],"<|obj2|>":[77,0,126,70],"<|obj3|>":[14,0,140,77],"<|obj4|>":[0,42,84,83]} | [
168,
84
] | 3,498 | |
1902 | [
{
"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, AB is parallel to CD, AD and BC intersect at point P. If AB is 1.5 units long, CD is 3 units long, and AP is 2 units long, what is the l... | {"<|obj1|>":[0,4,52,24],"<|obj2|>":[14,93,75,108],"<|obj3|>":[4,32,70,108],"<|obj4|>":[0,4,14,14],"<|obj5|>":[32,4,42,24],"<|obj6|>":[14,88,33,111],"<|obj7|>":[65,93,75,108],"<|obj8|>":[0,0,75,103],"<|obj9|>":[17,36,83,104]} | [
84,
112
] | 1,820 | |
1242 | [
{
"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 provided, where AB represents the diameter of circle O, AD is a tangent to circle O, and BD intersects circle O at point C. Let's repres... | {"<|obj1|>":[0,0,195,167],"<|obj2|>":[0,0,123,144],"<|obj3|>":[81,31,147,167],"<|obj4|>":[57,0,188,152],"<|obj5|>":[8,15,25,40],"<|obj6|>":[65,7,188,152],"<|obj7|>":[16,7,195,167],"<|obj8|>":[0,7,123,144]} | [
196,
168
] | 5,727 | |
1494 | [
{
"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 BD in the given diagram, where triangle ABC is congruent to triangle DEC, and points B, C, and D lie on a straight line, with CE measur... | {"<|obj1|>":[0,39,12,49],"<|obj2|>":[21,7,49,47],"<|obj3|>":[9,2,49,55],"<|obj4|>":[2,0,55,55],"<|obj5|>":[21,16,52,49]} | [
56,
56
] | 1,848 | |
990 | [
{
"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, circle O contains the quadrilateral ABCD inscribed within it. If angle BAD measures 132.0 degrees, what is the degree measure of angle B... | {"<|obj1|>":[9,9,111,108],"<|obj2|>":[0,0,111,111],"<|obj3|>":[23,14,103,103],"<|obj4|>":[28,14,98,89],"<|obj5|>":[28,18,98,98],"<|obj6|>":[42,9,98,33]} | [
112,
112
] | 1,405 | |
863 | [
{
"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, it is known that AD is parallel to BE and BE is parallel to CF. The straight line n intersects these three parallel lines at points A, B... | {"<|obj1|>":[7,21,161,70],"<|obj2|>":[7,42,167,77],"<|obj3|>":[0,56,84,139],"<|obj4|>":[0,84,42,139],"<|obj5|>":[7,91,42,139],"<|obj6|>":[63,0,91,133],"<|obj7|>":[42,35,77,91],"<|obj8|>":[7,119,21,139],"<|obj9|>":[105,7,147,63],"<|obj10|>":[119,42,140,112],"<|obj11|>":[126,84,154,139],"<|obj12|>":[63,0,98,133],"<|obj13... | [
168,
140
] | 2,235 | |
840 | [
{
"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 a practical activity class, Xiaoming wants to measure the distance between the two points of pond B and C. To do this, he selects a point A on one side of... | {"<|obj1|>":[75,5,139,72],"<|obj2|>":[0,5,30,60],"<|obj3|>":[5,0,76,83],"<|obj4|>":[58,53,70,78],"<|obj5|>":[70,0,135,83],"<|obj6|>":[5,9,76,80]} | [
140,
84
] | 1,689 | |
185 | [
{
"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 B in triangle ABC if angle C is 90 degrees, EF is parallel to AB, and angle 1 measures 40 degrees?\nChoices:\nA: 40°\nB: 60°\nC:... | {"<|obj1|>":[0,0,167,83],"<|obj2|>":[70,0,98,49],"<|obj3|>":[0,21,161,63],"<|obj4|>":[7,63,167,83],"<|obj5|>":[7,35,49,83]} | [
168,
84
] | 1,842 | |
332 | [
{
"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, AD is the median of triangle ABC, CE is the median of triangle ACD, DF is the median of triangle CDE. If the area of triangle DEF is... | {"<|obj1|>":[0,0,139,111],"<|obj2|>":[17,8,88,80],"<|obj3|>":[0,0,135,111],"<|obj4|>":[58,32,129,103],"<|obj5|>":[17,17,129,111],"<|obj6|>":[11,11,139,101],"<|obj7|>":[0,0,129,111],"<|obj8|>":[17,15,88,86]} | [
140,
112
] | 3,262 | |
932 | [
{
"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 right triangle ABC shown in the figure. Let's assign the length of AB as variable u where u = 10. If D is defined as the midpoint of AB, what is... | {"<|obj1|>":[0,0,167,83],"<|obj2|>":[28,49,84,83],"<|obj3|>":[126,49,154,83]} | [
168,
84
] | 1,530 | |
7218 | [
{
"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, angle B = 65.0, passing point C as CD parallel AB, angle ACD = 40.0, then the degree of angle ACB is ()\nChoices:\n... | {"<|obj1|>":[24,23,195,111],"<|obj2|>":[73,7,139,40],"<|obj3|>":[81,7,172,111],"<|obj4|>":[81,7,131,111],"<|obj5|>":[16,56,180,111],"<|obj6|>":[114,56,180,111],"<|obj7|>":[81,6,180,105]} | [
196,
112
] | 2,985 | |
1229 | [
{
"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 area of a right-angled triangle if the sides of squares M and N, representing one of the legs and the hypotenuse respectively, have areas of 9 sq... | {"<|obj1|>":[0,0,195,139],"<|obj2|>":[0,57,33,116],"<|obj3|>":[89,12,188,111]} | [
196,
140
] | 1,448 | |
1071 | [
{
"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, let's represent angle 1 as variable 'm' where m = 105 degrees. Given that AB is parallel to CD, what is the measure of angle 2, deno... | {"<|obj1|>":[35,0,139,111],"<|obj2|>":[35,0,139,111],"<|obj3|>":[11,0,139,111]} | [
140,
112
] | 1,386 | |
403 | [
{
"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, in the equilateral triangle triangle ABC, D and E are respectively the midpoints of sides AB and BC. If DE = 2, then the perimeter o... | {"<|obj1|>":[4,0,111,111],"<|obj2|>":[14,42,61,108],"<|obj3|>":[46,84,94,108]} | [
112,
112
] | 2,026 | |
882 | [
{
"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: Xiaobin used a 50-meter long rope to enclose a parallelogram field. If one side of the parallelogram measures 16 meters, how long is its adjacent side? Repre... | {"<|obj1|>":[46,0,223,83],"<|obj2|>":[5,0,163,83],"<|obj3|>":[140,65,159,83],"<|obj4|>":[102,0,215,83],"<|obj5|>":[0,37,178,83]} | [
224,
84
] | 2,067 | |
237 | [
{
"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, three parallel lines intersect the straight lines AC and DF. If DE:EF=2.0:4.0 and AB=4.0, what is the value of AC?\nChoices:\nA: 12.0\nB... | {"<|obj1|>":[0,7,139,154],"<|obj2|>":[119,21,139,49],"<|obj3|>":[0,63,139,98],"<|obj4|>":[0,63,84,147],"<|obj5|>":[7,7,139,140],"<|obj6|>":[0,0,133,167],"<|obj7|>":[7,7,49,49],"<|obj8|>":[14,56,56,91],"<|obj9|>":[70,119,105,154],"<|obj10|>":[70,7,126,42],"<|obj11|>":[63,56,98,84],"<|obj12|>":[14,119,91,167]} | [
140,
168
] | 3,130 | |
1096 | [
{
"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 diagram displays rectangle ABCD with F as the midpoint of BC and E positioned on AD, and with angle ECD at 30 degrees and angle BEC at 90 degrees. If EF ... | {"<|obj1|>":[0,7,42,70],"<|obj2|>":[63,63,154,83],"<|obj3|>":[0,0,167,83],"<|obj4|>":[21,0,167,83],"<|obj5|>":[14,0,161,83]} | [
168,
84
] | 4,228 | |
555 | [
{
"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, circle O is the circumcircle of triangle ABC. If the measure of angle A is 50.0, what is the measure of angle OCB? Represent the measure... | {"<|obj1|>":[9,0,108,111],"<|obj2|>":[0,0,70,111],"<|obj3|>":[28,0,98,42],"<|obj4|>":[4,79,28,103],"<|obj5|>":[84,79,98,103],"<|obj6|>":[4,9,111,111],"<|obj7|>":[0,74,75,111],"<|obj8|>":[14,32,98,111],"<|obj9|>":[4,46,61,103],"<|obj10|>":[18,51,103,108],"<|obj11|>":[31,13,99,81],"<|obj12|>":[4,9,98,111]} | [
112,
112
] | 2,894 | |
44 | [
{
"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, with circle O and the tangents PA at point A and PB at point B, if the length of PA is 3 units, what is the measure of PB?\nChoices:... | {"<|obj1|>":[64,11,139,95],"<|obj2|>":[64,0,105,59],"<|obj3|>":[58,82,111,111],"<|obj4|>":[0,0,105,101],"<|obj5|>":[11,17,111,111],"<|obj6|>":[64,0,123,101],"<|obj7|>":[11,76,111,111]} | [
140,
112
] | 1,535 | |
810 | [
{
"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, circle O contains points A, B, and C, with angle α measuring 140.0 degrees. What is the degree measure of angle A?\nChoices:\nA: 70°\nB... | {"<|obj1|>":[0,42,111,103],"<|obj2|>":[42,0,89,28],"<|obj3|>":[0,9,52,52],"<|obj4|>":[74,14,111,47],"<|obj5|>":[42,32,94,98],"<|obj6|>":[9,0,111,98]} | [
112,
112
] | 2,234 | |
173 | [
{
"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: With angle A of triangle ABC being 50 degrees, what is the total measured angle of angles 1 and 2?\nChoices:\nA: 180°\nB: 230°\nC: 280°\nD: 0°.\nPlease answe... | {"<|obj1|>":[0,9,111,108],"<|obj2|>":[0,0,111,111],"<|obj3|>":[28,0,111,80],"<|obj4|>":[65,18,111,108]} | [
112,
112
] | 2,317 | |
660 | [
{
"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 72 degrees and points A, B, and C lie on circle O, what is the degree of angle ACB?\nChoices:\nA: 18°\nB: 30°\nC: 36°\nD: 72°.\nPlease answer... | {"<|obj1|>":[0,0,98,103],"<|obj2|>":[18,84,94,111],"<|obj3|>":[84,88,94,108],"<|obj4|>":[88,14,103,38],"<|obj5|>":[9,14,103,108],"<|obj6|>":[4,4,108,111]} | [
112,
112
] | 2,174 | |
1152 | [
{
"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 BAO measures 40 degrees and points A, B, and C are situated on circle O, what is the measure of angle C?\nChoices:\nA: 40°\nB: 50°\nC: 80°\nD: 100°.... | {"<|obj1|>":[0,0,83,81],"<|obj2|>":[17,0,83,83],"<|obj3|>":[66,7,74,18],"<|obj4|>":[3,3,18,21],"<|obj5|>":[0,49,18,63],"<|obj6|>":[21,7,81,67],"<|obj7|>":[38,10,70,46],"<|obj8|>":[21,17,70,53],"<|obj9|>":[17,3,81,83],"<|obj10|>":[17,3,81,81],"<|obj11|>":[17,3,81,81],"<|obj12|>":[21,10,70,53],"<|obj13|>":[17,0,70,18],"<... | [
84,
84
] | 2,380 | |
955 | [
{
"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 a given length of 4 units for AC, and D and E representing the midpoints of sides AB and CB respectively, what is the length of DE?\nCh... | {"<|obj1|>":[16,0,180,83],"<|obj2|>":[155,50,188,76],"<|obj3|>":[24,0,172,51],"<|obj4|>":[81,58,98,83],"<|obj5|>":[40,33,98,83]} | [
196,
84
] | 2,144 | |
143 | [
{
"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 1 in the figure is known to be 50° and line a is parallel to line b, what would be the degree measure of angle 2?\nChoices:\nA: 100°\nB: 120°\nC: 13... | {"<|obj1|>":[16,7,107,167],"<|obj2|>":[98,70,195,167],"<|obj3|>":[16,112,49,167],"<|obj4|>":[89,70,188,167]} | [
196,
168
] | 2,943 | |
1321 | [
{
"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 picture of quadrilateral ABCD and the sum of angle B and angle D being 200 degrees, what is the degree measure of angle A?\nChoices:\nA: 95°\nB: 90... | {"<|obj1|>":[0,0,167,83]} | [
168,
84
] | 2,456 | |
1609 | [
{
"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 ADE is similar to triangle ABC. If the length of AD is 1.0 and BD is 2.0, what is the ratio of similarity between triangle ADE ... | {"<|obj1|>":[7,0,167,83],"<|obj2|>":[7,0,167,83],"<|obj3|>":[0,0,112,83],"<|obj4|>":[119,14,167,83],"<|obj5|>":[63,14,147,42]} | [
168,
84
] | 2,849 | |
548 | [
{
"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 order to participate in the 10th Lanzhou Primary and Middle School Students' Art Festival, Liangliang made a cone-shaped paper hat out of cardboard. As sh... | {"<|obj1|>":[9,0,103,84],"<|obj2|>":[0,0,111,111],"<|obj3|>":[0,84,28,103],"<|obj4|>":[88,84,111,103],"<|obj5|>":[42,0,66,24]} | [
112,
112
] | 1,636 | |
888 | [
{
"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, BC, and CD are all equal in circle O and angle AOB measures 40 degrees, what is the measure of angle CAD as shown in the diagram?\nChoices:\nA: 10°\nB... | {"<|obj1|>":[11,0,111,83],"<|obj2|>":[42,9,108,83],"<|obj3|>":[84,23,103,80],"<|obj4|>":[4,0,98,75],"<|obj5|>":[0,18,56,75]} | [
112,
84
] | 1,504 | |
1291 | [
{
"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: Triangle ABC is depicted, with ACB measuring 90 degrees, AC measuring 5 units, and AB measuring 13 units. Given that D is the midpoint of AC, a line DE paral... | {"<|obj1|>":[0,0,139,83],"<|obj2|>":[0,0,135,83],"<|obj3|>":[0,0,129,83],"<|obj4|>":[99,29,135,83],"<|obj5|>":[0,5,123,48],"<|obj6|>":[0,29,82,54]} | [
140,
84
] | 3,245 | |
642 | [
{
"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 angle measure of the complement of angle BOD in the given diagram, where OE is perpendicular to AB, the line CD passes through point O, and angle... | {"<|obj1|>":[65,0,111,56]} | [
112,
112
] | 2,004 | |
1897 | [
{
"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 depicting triangles ABC and DEF, which are similar and have point O as the center of similarity, if OC to OF has a ratio of 0.333333, what is ... | {"<|obj1|>":[18,9,103,140],"<|obj2|>":[112,0,223,159],"<|obj3|>":[0,102,75,159],"<|obj4|>":[0,46,140,159],"<|obj5|>":[0,28,178,159]} | [
224,
168
] | 1,433 | |
605 | [
{
"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 an inscribed triangle ABC within circle O, where AD represents the circle's diameter and angle ABC measures 30.0 degrees, what is the measure of angle ... | {"<|obj1|>":[0,0,94,83],"<|obj2|>":[0,0,98,83],"<|obj3|>":[0,0,103,83],"<|obj4|>":[9,9,28,24],"<|obj5|>":[0,9,94,83],"<|obj6|>":[4,9,98,70],"<|obj7|>":[23,9,103,70],"<|obj8|>":[9,9,89,75],"<|obj9|>":[18,9,103,80],"<|obj10|>":[4,0,111,83],"<|obj11|>":[0,0,103,83],"<|obj12|>":[4,0,103,38],"<|obj13|>":[9,0,89,24],"<|obj14... | [
112,
84
] | 2,358 | |
1406 | [
{
"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 lever system with the short arm length represented by 'a' units (a = 1.0) and the long arm length represented by 'b' units (b = 16.0). If the shor... | {"<|obj1|>":[0,0,65,111],"<|obj2|>":[0,52,65,106],"<|obj3|>":[0,29,41,95],"<|obj4|>":[52,29,82,95]} | [
140,
112
] | 1,862 | |
580 | [
{
"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 section of a drainage pipe is shown in the figure. It is known that the radius of the section of the drainage pipe OB = 5.0 and the center of the circula... | {"<|obj1|>":[0,0,111,75],"<|obj2|>":[42,37,84,70],"<|obj3|>":[93,9,111,103],"<|obj4|>":[0,0,111,111],"<|obj5|>":[0,0,111,111],"<|obj6|>":[28,14,98,94]} | [
112,
112
] | 2,528 | |
1006 | [
{
"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, points D and E are on the edges AB and AC, respectively. DE is parallel to BC. If AD:AB=6.0:8.0 and AE=12.0, what is the value of AC?\nChoic... | {"<|obj1|>":[42,4,89,111],"<|obj2|>":[0,51,56,108],"<|obj3|>":[84,65,103,84],"<|obj4|>":[4,0,103,111],"<|obj5|>":[9,0,98,61],"<|obj6|>":[42,0,98,56],"<|obj7|>":[28,4,103,84],"<|obj8|>":[42,4,98,61],"<|obj9|>":[4,88,108,111],"<|obj10|>":[84,65,103,89]} | [
112,
112
] | 2,233 | |
67 | [
{
"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 diagram, angle BAC is 54°, and points A, B, and C are positioned on circle O, what is the measure of angle BOC?\nChoices:\nA: 27°\nB: 108°\nC: 116°... | {"<|obj1|>":[0,5,135,139],"<|obj2|>":[35,0,59,35],"<|obj3|>":[5,93,30,129],"<|obj4|>":[99,81,129,117],"<|obj5|>":[11,0,135,135],"<|obj6|>":[11,0,139,135],"<|obj7|>":[5,5,135,139],"<|obj8|>":[17,17,129,139],"<|obj9|>":[11,17,135,129]} | [
140,
140
] | 2,917 | |
49 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the final answer at the end.\nQuestion: Outline your observations regarding the picture..\nPlease answer the question using a long-chain reasoning style and think step by step."
},
{
"from": "gpt",
"value": "So I'... | {"<|obj1|>":[0,0,42,27],"<|obj2|>":[0,14,35,27],"<|obj3|>":[0,0,147,27],"<|obj4|>":[42,0,147,27],"<|obj5|>":[0,0,167,27]} | [
168,
28
] | 1,050 | |
1890 | [
{
"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, angle AOB is a central angle of circle O and has a measure of 50.0 degrees. What is the magnitude of the circumference angle ACB?\nC... | {"<|obj1|>":[0,4,111,111],"<|obj2|>":[23,9,98,108],"<|obj3|>":[4,0,103,89]} | [
112,
112
] | 1,611 | |
1095 | [
{
"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, lines a and b intersect at point O. Given that angle 1 plus angle 2 equals 100°, what is the degree measurement of angle 3 at their ... | {"<|obj1|>":[0,8,32,195],"<|obj2|>":[71,0,96,17],"<|obj3|>":[0,24,111,195],"<|obj4|>":[15,16,111,195],"<|obj5|>":[14,98,111,195],"<|obj6|>":[15,16,111,195]} | [
112,
196
] | 3,970 | |
1983 | [
{
"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 is a tangent to circle O at point B, and line AO extended intersects circle O at point C, and angle A measures 26 degrees, what is the measure of angle... | {"<|obj1|>":[63,14,154,91],"<|obj2|>":[0,56,91,105],"<|obj3|>":[28,14,126,111],"<|obj4|>":[0,21,35,105],"<|obj5|>":[126,14,167,111],"<|obj6|>":[14,0,140,105],"<|obj7|>":[21,0,140,105],"<|obj8|>":[35,7,161,105]} | [
168,
112
] | 2,244 | |
1213 | [
{
"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, OC is the bisector of angle AOB. A point D is created on OA such that DE is parallel to OB and intersects OC at point E. If angle AD... | {"<|obj1|>":[0,112,172,167],"<|obj2|>":[81,0,123,48],"<|obj3|>":[147,143,180,167],"<|obj4|>":[155,56,188,80],"<|obj5|>":[24,47,82,104],"<|obj6|>":[122,39,156,112],"<|obj7|>":[57,39,164,152],"<|obj8|>":[8,15,107,167],"<|obj9|>":[49,39,195,144],"<|obj10|>":[24,71,156,144],"<|obj11|>":[147,151,172,167],"<|obj12|>":[65,0,1... | [
196,
168
] | 4,858 | |
1770 | [
{
"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: Visualize the given figure, which represents a large parasol. If the umbrella surface of this parasol, when expanded, can be approximately treated as a cone,... | {"<|obj1|>":[0,0,139,111],"<|obj2|>":[58,0,129,53],"<|obj3|>":[58,58,135,106]} | [
140,
112
] | 1,614 | |
277 | [
{
"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, in triangle ABC, line segment DE is parallel to BC, and the lengths are as follows: AD = 2.0, DB = 4.0, and DE = 3.0. What is the length of... | {"<|obj1|>":[0,0,135,83],"<|obj2|>":[11,11,100,42],"<|obj3|>":[40,5,59,18],"<|obj4|>":[5,47,129,78],"<|obj5|>":[110,59,129,78],"<|obj6|>":[11,17,82,54],"<|obj7|>":[105,59,129,78]} | [
140,
84
] | 1,837 | |
318 | [
{
"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 right triangle ABC, angle ACB is 90 degrees and AB is 10. D is the midpoint of AB. Therefore, the length of CD is ()\nChoices:\nA:... | {"<|obj1|>":[0,0,83,139],"<|obj2|>":[29,40,78,135],"<|obj3|>":[59,5,78,30],"<|obj4|>":[5,99,18,123],"<|obj5|>":[59,105,72,135]} | [
84,
140
] | 1,479 |