id string | image image | conversations list | regions string | image_size list | num_tokens int64 |
|---|---|---|---|---|---|
1478 | [
{
"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 shown, AD is parallel to BE, and BE is parallel to CF. The straight lines l_{1.0}、l_{2.0} and these three parallel lines intersect at points A,... | {"<|obj1|>":[0,0,88,139]} | [
140,
140
] | 3,397 | |
222 | [
{
"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 illustrating triangle ABC inscribed in circle O where AD is the diameter, and angle C equals 63 degrees, what is the measure of angle DAB?\... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[4,0,89,111],"<|obj3|>":[0,4,111,111],"<|obj4|>":[0,46,108,111],"<|obj5|>":[65,14,108,108],"<|obj6|>":[9,4,111,111],"<|obj7|>":[23,14,111,108],"<|obj8|>":[14,4,103,111],"<|obj9|>":[0,32,111,111],"<|obj10|>":[0,4,103,111],"<|obj11|>":[23,9,108,103]} | [
112,
112
] | 3,224 | |
33 | [
{
"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 AB is the diameter of the circumscribed circle of triangle ABC and angle A measures 35 degrees, what is the degree measure of angle B... | {"<|obj1|>":[9,4,70,111],"<|obj2|>":[9,4,111,108],"<|obj3|>":[9,42,108,66],"<|obj4|>":[31,13,99,81],"<|obj5|>":[18,84,70,111],"<|obj6|>":[9,0,111,108],"<|obj7|>":[18,14,103,98]} | [
112,
112
] | 1,981 | |
757 | [
{
"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 triangle ABC, where the midpoints of sides BC and BA are represented by points D and E respectively. If the area of triangle ABC is denoted by varia... | {"<|obj1|>":[0,0,139,106],"<|obj2|>":[58,82,82,106],"<|obj3|>":[52,35,94,59],"<|obj4|>":[11,0,129,111]} | [
140,
112
] | 2,247 | |
1594 | [
{
"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, shown in the diagram, the measure of angle C is 90°. Point D is located on side BC, such that AD = BD. Additionally, DE bisects angle ADB an... | {"<|obj1|>":[35,11,139,111],"<|obj2|>":[110,82,135,106],"<|obj3|>":[110,11,129,36],"<|obj4|>":[99,5,129,71],"<|obj5|>":[35,35,76,65],"<|obj6|>":[35,23,111,111],"<|obj7|>":[81,82,105,106],"<|obj8|>":[110,5,123,42],"<|obj9|>":[17,82,88,106],"<|obj10|>":[87,5,129,36]} | [
140,
112
] | 3,552 | |
9019 | [
{
"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 square ABCD is transformed into a rhombus ABC'D'. If angle D'AB = 60°, the ratio of the area of rhombus ABC'D' to the area of squ... | {"<|obj1|>":[0,0,195,139],"<|obj2|>":[8,0,188,139],"<|obj3|>":[8,0,172,139],"<|obj4|>":[8,42,107,139],"<|obj5|>":[122,98,147,139],"<|obj6|>":[114,8,188,50],"<|obj7|>":[8,4,107,103],"<|obj8|>":[114,8,195,116],"<|obj9|>":[8,12,107,111],"<|obj10|>":[8,16,180,139]} | [
196,
140
] | 3,853 | |
1548 | [
{
"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's consider the circle O with tangents PA and PB at points A and B, where angle P measures 70.0 degrees. Determine the measure of an... | {"<|obj1|>":[0,14,70,133],"<|obj2|>":[112,14,167,119],"<|obj3|>":[42,0,167,139],"<|obj4|>":[70,35,154,139],"<|obj5|>":[0,0,167,139],"<|obj6|>":[0,49,147,139],"<|obj7|>":[14,0,167,139],"<|obj8|>":[0,0,161,139]} | [
168,
140
] | 2,470 | |
721 | [
{
"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 plant trees on a hillside, the plant spacing (the horizontal distance between two adjacent trees) is required to be 3.0 meters, and the slope of the slope... | {"<|obj1|>":[42,18,98,75],"<|obj2|>":[9,0,111,83],"<|obj3|>":[14,0,111,83],"<|obj4|>":[0,0,56,56],"<|obj5|>":[18,28,75,83]} | [
112,
84
] | 1,854 | |
387 | [
{
"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 three non-intersecting circles A, B, and C, each with a radius of 0.5 units, determine the total area of the three shaded regions in the figure. Repres... | {"<|obj1|>":[0,0,147,139],"<|obj2|>":[114,65,195,124],"<|obj3|>":[81,0,195,50],"<|obj4|>":[0,0,195,139]} | [
196,
140
] | 1,789 | |
1365 | [
{
"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, with angle C measuring 90 degrees, BC measuring 2.0 units, and AC measuring 3.0 units, what is the value of the tangent of angle B, de... | {"<|obj1|>":[0,0,167,83],"<|obj2|>":[14,0,167,63],"<|obj3|>":[119,63,161,83],"<|obj4|>":[0,0,167,56],"<|obj5|>":[0,49,70,83],"<|obj6|>":[119,63,161,83],"<|obj7|>":[21,7,167,63],"<|obj8|>":[42,21,119,56]} | [
168,
84
] | 2,638 | |
1133 | [
{
"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, angle C is 90 degrees. AD is the bisector of angle BAC. If angle ADC is 65 degrees, then the size of angle BAC is ().\nChoic... | {"<|obj1|>":[14,0,111,83],"<|obj2|>":[88,23,111,80],"<|obj3|>":[46,0,103,47],"<|obj4|>":[23,0,98,52],"<|obj5|>":[9,0,108,83],"<|obj6|>":[14,0,70,52]} | [
112,
84
] | 1,763 | |
1915 | [
{
"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, quadrilateral ABCD is circumscribed around circle O. If angle A is measured at 80 degrees, what is the value of angle C in degrees?\... | {"<|obj1|>":[0,2,55,55],"<|obj2|>":[4,0,55,55]} | [
56,
56
] | 1,318 | |
749 | [
{
"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 ACB is 35.0 degrees and points A, B, and C all lie on circle O, what is the degree measure of angle AOB?\nChoices:\nA: 20°\nB: 40°\nC: 60°\nD: 70°.\... | {"<|obj1|>":[0,0,89,83],"<|obj2|>":[4,60,89,83],"<|obj3|>":[70,60,103,83],"<|obj4|>":[88,14,111,38],"<|obj5|>":[9,9,103,83],"<|obj6|>":[9,0,103,83]} | [
112,
84
] | 1,894 | |
1528 | [
{
"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 process of making a conical birthday hat with a bottom radius of 9.0 cm and a height of 12.0 cm, what should be the central angle of the sector-shaped... | {"<|obj1|>":[0,0,111,83],"<|obj2|>":[4,46,66,70]} | [
112,
84
] | 1,623 | |
1438 | [
{
"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 measure of angle 2 in the given diagram where angle 1 measures 130° and line a is parallel to line b.\nChoices:\nA: 70°\nB: 60°\nC: 50°\nD: 40°.\nPl... | {"<|obj1|>":[0,21,167,111],"<|obj2|>":[7,21,167,42],"<|obj3|>":[119,98,147,111],"<|obj4|>":[0,0,167,111],"<|obj5|>":[0,0,147,111]} | [
168,
112
] | 2,977 | |
1368 | [
{
"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, if line BM is tangent to circle O at point B and angle MBA measures 140.0 degrees, what is the measure of angle ACB? Denote the measure of an... | {"<|obj1|>":[0,0,111,139],"<|obj2|>":[29,122,53,135],"<|obj3|>":[11,87,59,139],"<|obj4|>":[11,17,59,139],"<|obj5|>":[0,11,106,129],"<|obj6|>":[41,5,101,76],"<|obj7|>":[5,11,106,135]} | [
112,
140
] | 1,588 | |
1158 | [
{
"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 serves as the diameter of circle O, and the measure of angle D is 36.0 degrees. What is the measure of angle CAB? Let's represent the... | {"<|obj1|>":[0,35,42,77],"<|obj2|>":[7,28,77,81],"<|obj3|>":[17,0,70,60],"<|obj4|>":[31,63,53,83],"<|obj5|>":[10,0,83,83],"<|obj6|>":[3,3,83,83],"<|obj7|>":[17,7,83,81]} | [
84,
84
] | 1,695 | |
705 | [
{
"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 α measures 140.0 degrees and points A, B, and C are located on circle O as shown, what is the size of angle A?\nChoices:\nA: 70°\nB: 110°\nC... | {"<|obj1|>":[0,42,111,111],"<|obj2|>":[51,0,89,28],"<|obj3|>":[0,9,14,33],"<|obj4|>":[74,14,111,47],"<|obj5|>":[14,14,103,56],"<|obj6|>":[4,4,111,108],"<|obj7|>":[4,0,111,111]} | [
112,
112
] | 1,759 | |
554 | [
{
"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 A in parallelogram ABCD if angle B + angle D = 100°?\nChoices:\nA: 50°\nB: 100°\nC: 130°\nD: 150°.\nPlease answer the question u... | {"<|obj1|>":[7,0,167,70],"<|obj2|>":[0,0,167,83],"<|obj3|>":[77,0,161,83],"<|obj4|>":[42,0,140,83]} | [
168,
84
] | 3,548 | |
623 | [
{
"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 given, triangle ABC is displayed with AD functioning as its median and E as the midpoint of AD. When BE is then connected, and the area of tria... | {"<|obj1|>":[5,0,139,139],"<|obj2|>":[29,5,123,117],"<|obj3|>":[40,58,82,111],"<|obj4|>":[11,5,129,117],"<|obj5|>":[0,58,70,129],"<|obj6|>":[11,0,139,117],"<|obj7|>":[29,0,139,135],"<|obj8|>":[5,58,135,139]} | [
140,
140
] | 2,999 | |
942 | [
{
"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, O is the center of the circle, diameter AB is perpendicular to chord DE at point C, DE = 16, OC = 6. The radius OD is equal to ().\nCho... | {"<|obj1|>":[7,0,81,74],"<|obj2|>":[59,31,81,49],"<|obj3|>":[0,0,83,83],"<|obj4|>":[10,0,83,74]} | [
84,
84
] | 2,282 | |
305 | [
{
"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 AB is the diameter of circle O and CD is a chord, and the measure of angle ABD is 54°, what is the degree measurement of angle BCD?\nChoices:\nA: 27°\nB... | {"<|obj1|>":[0,4,94,103],"<|obj2|>":[14,46,111,108],"<|obj3|>":[14,0,111,111],"<|obj4|>":[4,4,111,108],"<|obj5|>":[0,4,111,111],"<|obj6|>":[9,4,111,108],"<|obj7|>":[14,9,98,89]} | [
112,
112
] | 2,275 | |
1679 | [
{
"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 OD if AE, a line segment perpendicular to and bisecting BO in rectangle ABCD, measures 2√3 and point O is the intersection of diagonal... | {"<|obj1|>":[0,0,195,111],"<|obj2|>":[16,7,107,104],"<|obj3|>":[8,47,188,104],"<|obj4|>":[81,0,180,72],"<|obj5|>":[0,0,195,104],"<|obj6|>":[0,0,195,104]} | [
196,
112
] | 3,609 | |
1827 | [
{
"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 point I be the incenter of triangle ABC, with the lines AI, BI, and CI as angle bisectors of angles BAC, ABC, and ACB respectively.... | {"<|obj1|>":[0,0,231,167],"<|obj2|>":[126,73,179,116],"<|obj3|>":[105,42,231,167]} | [
252,
168
] | 2,378 | |
572 | [
{
"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 u (u = 63°). If DA is perpendicular to AB at point A and CD is perpendicular to DA at po... | {"<|obj1|>":[0,9,111,83],"<|obj2|>":[0,18,33,80],"<|obj3|>":[4,9,24,80],"<|obj4|>":[79,0,111,80],"<|obj5|>":[9,0,111,83]} | [
112,
84
] | 1,267 | |
1875 | [
{
"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, if the sum of angle 1 and angle 2 is 180.0 degrees and angle 3 equals 55.0 degrees, what degree does angle 4 have?\nChoices:\nA: 35°\... | {"<|obj1|>":[60,51,103,108],"<|obj2|>":[9,0,61,111],"<|obj3|>":[65,4,98,33],"<|obj4|>":[0,79,24,111],"<|obj5|>":[4,18,111,84],"<|obj6|>":[65,14,94,33]} | [
112,
112
] | 3,233 | |
1414 | [
{
"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 has angle A measuring 70° and the bisectors of angle ABC and angle ACB intersect at point O. What is the size of angle BOC?\nChoices:\nA: 125°\n... | {"<|obj1|>":[11,0,111,55],"<|obj2|>":[18,0,103,52],"<|obj3|>":[4,0,111,52],"<|obj4|>":[26,0,105,55],"<|obj5|>":[9,14,111,47],"<|obj6|>":[0,0,111,55]} | [
112,
56
] | 2,179 | |
527 | [
{
"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 the shaded region created when a square ABCD with a side length of 8cm is translated upward by 4cm and then translated to the right by 2c... | {"<|obj1|>":[0,0,106,139],"<|obj2|>":[0,0,111,139],"<|obj3|>":[0,0,111,139]} | [
112,
140
] | 2,538 | |
1851 | [
{
"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, with points A, B, and C lying on circle O and the degree of arc ACB set at 300 degrees, what is the degree measure of angle C?\nChoices:... | {"<|obj1|>":[0,4,111,111],"<|obj2|>":[46,51,75,70],"<|obj3|>":[4,4,108,70],"<|obj4|>":[9,9,98,103],"<|obj5|>":[9,0,111,111],"<|obj6|>":[9,0,111,111]} | [
112,
112
] | 1,411 | |
1249 | [
{
"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's consider triangle ABC. D and E are the midpoints of sides AB and AC respectively. If the length of BC is represented by the varia... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[4,84,14,98],"<|obj3|>":[23,32,108,98]} | [
112,
112
] | 2,079 | |
1139 | [
{
"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 of rectangle ABCD, diagonal AC intersects diagonal BD at point O. If AD measures √3 and AB measures 1, what is the measure of angle BOC?\... | {"<|obj1|>":[0,0,111,83],"<|obj2|>":[4,14,103,75],"<|obj3|>":[18,9,103,56],"<|obj4|>":[9,42,66,66],"<|obj5|>":[0,0,111,83],"<|obj6|>":[0,0,108,83],"<|obj7|>":[9,14,103,80],"<|obj8|>":[4,14,103,83]} | [
112,
84
] | 3,457 | |
1146 | [
{
"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 showing a rhombus ABCD with diagonals AC and BD intersecting at point O. If the perimeter of the rhombus is 20 units and BD measures 8 un... | {"<|obj1|>":[0,0,139,111],"<|obj2|>":[0,29,139,101],"<|obj3|>":[0,0,139,111],"<|obj4|>":[11,0,139,106]} | [
140,
112
] | 2,169 | |
1356 | [
{
"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, AC is the diameter of circle O, and points B and D lie on the circumference of circle O. If angle BOC measures 110.0 degrees, what is the mea... | {"<|obj1|>":[4,4,111,108],"<|obj2|>":[0,42,84,111],"<|obj3|>":[9,0,111,111],"<|obj4|>":[18,14,80,103],"<|obj5|>":[9,4,111,108],"<|obj6|>":[0,0,111,111],"<|obj7|>":[9,0,111,111]} | [
112,
112
] | 2,335 | |
1066 | [
{
"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 with angle 1 measuring 50°, what must be the measure of angle 2 for lines a and b to be parallel?\nChoices:\nA: 40°\nB: 130°\nC: 50°\nD: 12... | {"<|obj1|>":[0,0,154,139],"<|obj2|>":[7,0,154,139],"<|obj3|>":[0,0,167,63],"<|obj4|>":[0,105,154,139],"<|obj5|>":[49,0,126,91]} | [
168,
140
] | 3,734 | |
372 | [
{
"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, point M is the midpoint of line segment AB, point N is on line segment MB, if AB = 12.0, AM:BN=3.0:1.0, then the length of line segme... | {"<|obj1|>":[0,0,134,27],"<|obj2|>":[28,0,140,27],"<|obj3|>":[74,0,223,27],"<|obj4|>":[158,0,187,27],"<|obj5|>":[18,0,206,27]} | [
224,
28
] | 1,891 | |
1754 | [
{
"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 A as variable x where x = 80°. What is the degree measure of angle C, denoted as variable y in relatio... | {"<|obj1|>":[11,4,54,54],"<|obj2|>":[0,0,55,55],"<|obj3|>":[9,0,55,55],"<|obj4|>":[9,0,55,55]} | [
56,
56
] | 1,591 | |
1104 | [
{
"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, with DE parallel to BC. If AD:AB is 12:16 and AE is 24, then what is the length of AC?\nChoices:\... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[0,51,56,108],"<|obj3|>":[84,70,98,84],"<|obj4|>":[79,70,98,89],"<|obj5|>":[88,98,103,108]} | [
112,
112
] | 1,510 | |
1260 | [
{
"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 circle O with a radius of 20.0, the central angles of the chords AB and CD are angle AOB and angle COD respectively. Given that AB = 32.0, angle AOB +... | {"<|obj1|>":[0,4,111,111],"<|obj2|>":[88,65,111,103],"<|obj3|>":[9,46,33,89],"<|obj4|>":[32,0,98,103],"<|obj5|>":[18,14,103,98]} | [
112,
112
] | 2,399 | |
1225 | [
{
"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 with point O on line AB and ray OC, find the degree measurement of angle BOC if angle AOC measures 0.2 times angle BOC. Represent the degre... | {"<|obj1|>":[35,0,167,77],"<|obj2|>":[21,0,133,77],"<|obj3|>":[119,49,167,77],"<|obj4|>":[70,0,140,77],"<|obj5|>":[21,14,133,49]} | [
168,
84
] | 1,510 | |
1106 | [
{
"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 inscribed in circle O. If the measure of angle OBC is represented by the variable 'x' (x = 35°), what is the measure of ... | {"<|obj1|>":[23,0,70,14],"<|obj2|>":[14,14,98,94],"<|obj3|>":[14,9,103,89],"<|obj4|>":[84,4,98,28],"<|obj5|>":[9,37,61,52],"<|obj6|>":[51,79,84,103],"<|obj7|>":[14,4,98,94]} | [
112,
112
] | 1,926 | |
878 | [
{
"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 depicting rhombus ABCD, with point O representing the intersection of AC and BD, AO measures 4 and BO measures 3. What is the length of side AB... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[14,4,108,98],"<|obj3|>":[0,28,108,98],"<|obj4|>":[37,46,61,70],"<|obj5|>":[0,0,103,111]} | [
112,
112
] | 2,031 | |
1080 | [
{
"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, triangle ABE is congruent to triangle ACD. With angle A measuring 65 degrees and angle C measuring 25 degrees, what is the measurement ... | {"<|obj1|>":[17,0,83,83],"<|obj2|>":[7,0,83,83],"<|obj3|>":[24,0,67,83],"<|obj4|>":[28,52,83,83],"<|obj5|>":[3,38,83,77],"<|obj6|>":[24,10,83,83],"<|obj7|>":[7,0,83,81]} | [
84,
84
] | 3,024 | |
1973 | [
{
"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 lines a and b in the figure are parallel, and angle 1 is equal to 2 times angle 2, then what is the degree measure of angle 2?\nChoices:\nA: 50°\nB: 60°\n... | {"<|obj1|>":[37,0,223,167],"<|obj2|>":[0,46,38,75],"<|obj3|>":[0,93,19,131],"<|obj4|>":[28,0,223,167],"<|obj5|>":[0,0,223,167]} | [
224,
168
] | 7,352 | |
989 | [
{
"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 the length of ID as variable y (y = 3) and the perimeter of triangle ABC as variable Q (Q = 18). What is the express... | {"<|obj1|>":[0,0,251,167],"<|obj2|>":[21,0,251,167],"<|obj3|>":[21,126,74,158],"<|obj4|>":[115,42,242,167]} | [
252,
168
] | 3,096 | |
1140 | [
{
"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 angle AOB in rectangle ABCD measures 60° and AB is 2, what is the value of AC?\nChoices:\nA: 2\nB: 4\nC: 2√{3}\nD: 4√{3}.\nPlease answer the question us... | {"<|obj1|>":[4,4,111,56],"<|obj2|>":[4,9,103,83],"<|obj3|>":[18,14,103,61],"<|obj4|>":[9,42,66,66],"<|obj5|>":[4,37,98,83],"<|obj6|>":[14,14,94,70]} | [
112,
84
] | 2,310 | |
1985 | [
{
"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 in the figure, with angle A measuring 70° and angle C measuring 30°. The bisector of angle ABC intersects line segment AC at point D... | {"<|obj1|>":[0,0,167,111],"<|obj2|>":[0,21,84,105],"<|obj3|>":[126,70,161,105],"<|obj4|>":[63,70,77,98],"<|obj5|>":[21,7,167,111],"<|obj6|>":[77,21,105,49],"<|obj7|>":[77,21,105,77],"<|obj8|>":[84,0,167,84]} | [
168,
112
] | 2,431 | |
3 | [
{
"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, line l1 needs to be parallel to line l2. How many degrees does line l1 have to rotate around point O to achieve this?\nChoices:\nA: 38°\nB: 4... | {"<|obj1|>":[7,0,42,14],"<|obj2|>":[10,31,32,55],"<|obj3|>":[0,0,83,55],"<|obj4|>":[0,0,83,55],"<|obj5|>":[0,0,83,55]} | [
84,
56
] | 1,787 | |
1421 | [
{
"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 depicted in the figure, angle B is known to measure 70 degrees and angle BAD measures 30 degrees. If AD bisects angle BAC, what will be t... | {"<|obj1|>":[0,0,167,139],"<|obj2|>":[0,91,161,133],"<|obj3|>":[63,98,84,139],"<|obj4|>":[35,0,154,139]} | [
168,
140
] | 1,832 | |
860 | [
{
"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 cone-shaped ice cream box with a generatrix length of 25.0 and a height of 24.0, what is the lateral area of the cone?\nChoices:\nA: 175πcm^{2}\nB: 3... | {"<|obj1|>":[0,17,139,139],"<|obj2|>":[0,0,139,139],"<|obj3|>":[110,46,135,129]} | [
140,
140
] | 1,985 | |
1395 | [
{
"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 = 50°. What is the degree measure of angle 2, expressed as variable 'b' in relation to ... | {"<|obj1|>":[0,0,139,83],"<|obj2|>":[40,0,139,66],"<|obj3|>":[0,0,135,36]} | [
140,
84
] | 1,099 | |
195 | [
{
"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 illustrated, triangle ABC has BA equal to BC. With DE being the perpendicular bisector of side AB intersecting BC and AB at points D and E, if AD is the a... | {"<|obj1|>":[130,32,180,108],"<|obj2|>":[0,32,49,124],"<|obj3|>":[8,82,49,116],"<|obj4|>":[32,32,107,124],"<|obj5|>":[81,82,107,124],"<|obj6|>":[57,49,98,83],"<|obj7|>":[81,0,156,116],"<|obj8|>":[114,8,172,108],"<|obj9|>":[8,0,188,139]} | [
196,
140
] | 2,801 | |
469 | [
{
"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 picture, you can see the cone-shaped colored paper Christmas hat that Xiaoli made. The generatrix measures 30.0 and the bottom radius is 10.0. What is... | {"<|obj1|>":[0,0,55,55],"<|obj2|>":[0,0,55,55]} | [
56,
56
] | 1,839 | |
1011 | [
{
"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 diameter of the base of the conical chimney cap is 80.0, and the generatrix length is 50.0. What is the lateral area of the chimney ... | {"<|obj1|>":[0,0,83,28]} | [
84,
56
] | 912 | |
1014 | [
{
"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: Calculate the length of AB in triangle ABC, where AB is equal to AC, AD bisects angle BAC, E is the midpoint of AC, and DE measures 3 units.\nChoices:\nA: 4\... | {"<|obj1|>":[0,0,103,111],"<|obj2|>":[51,9,75,94],"<|obj3|>":[60,32,89,66],"<|obj4|>":[60,32,84,66]} | [
112,
112
] | 1,701 | |
11103 | [
{
"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 ACB = 90°, AC = 5, AB = 13. Point D is the midpoint of AC. Draw a line DE parallel to BC passing through point... | {"<|obj1|>":[5,0,139,83],"<|obj2|>":[0,5,123,54],"<|obj3|>":[11,35,41,48],"<|obj4|>":[0,0,30,78],"<|obj5|>":[110,59,135,83],"<|obj6|>":[11,0,139,83]} | [
140,
84
] | 2,230 | |
760 | [
{
"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, triangle ABC has AD as its median, E as the midpoint of AD, and BE as a connecting line. If the area of triangle ABC is 12, what is t... | {"<|obj1|>":[5,0,139,139],"<|obj2|>":[17,0,135,139],"<|obj3|>":[35,58,123,111],"<|obj4|>":[5,0,135,139],"<|obj5|>":[5,81,47,129],"<|obj6|>":[5,99,129,139],"<|obj7|>":[35,5,65,35],"<|obj8|>":[5,99,18,129],"<|obj9|>":[122,23,135,41],"<|obj10|>":[58,116,82,139]} | [
140,
140
] | 2,744 | |
117 | [
{
"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 point O is the center of the circle and angle A is 80 degrees, what is the degree measure of angle BOC?\nChoices:\nA: 40°\nB: 8... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[32,9,80,94],"<|obj3|>":[9,9,108,111],"<|obj4|>":[0,4,111,111],"<|obj5|>":[28,9,98,98],"<|obj6|>":[0,0,111,111],"<|obj7|>":[4,4,103,108],"<|obj8|>":[4,14,103,103],"<|obj9|>":[0,0,111,111]} | [
112,
112
] | 2,089 | |
497 | [
{
"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 right triangle ABC with angle C measuring 90° and AC measuring 4 units, and BC measuring 3 units, what is the value of sin(∠ABC)? Represent the val... | {"<|obj1|>":[0,0,83,111],"<|obj2|>":[65,23,80,108],"<|obj3|>":[14,18,70,75],"<|obj4|>":[0,23,75,108],"<|obj5|>":[60,84,75,108],"<|obj6|>":[0,0,83,111]} | [
84,
112
] | 2,168 | |
720 | [
{
"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 a perimeter of 20cm, diamond ABCD has one diagonal, AC, measuring 6cm. What is the length of diagonal BD?\nChoices:\nA: 4cm\nB:... | {"<|obj1|>":[0,0,139,111],"<|obj2|>":[11,0,139,111],"<|obj3|>":[11,0,139,95],"<|obj4|>":[0,0,129,106],"<|obj5|>":[0,29,135,101],"<|obj6|>":[5,0,139,89]} | [
140,
112
] | 2,019 | |
105 | [
{
"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 A be represented by the variable x (x = 70°). If the angle bisectors of angle ABC and angle ACB intersect at point O, what is the ... | {"<|obj1|>":[9,0,111,55],"<|obj2|>":[28,9,84,52],"<|obj3|>":[0,0,111,55],"<|obj4|>":[14,23,80,52],"<|obj5|>":[9,4,103,55]} | [
112,
56
] | 2,392 | |
583 | [
{
"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 are all on circle O and angle ABC equals 40.0 degrees, what is the size of angle AOC?\nChoices:\nA: 90°\nB: 80°\nC: 70°\nD: 50°... | {"<|obj1|>":[9,4,94,83],"<|obj2|>":[4,0,111,83],"<|obj3|>":[32,0,103,80],"<|obj4|>":[28,0,111,80],"<|obj5|>":[9,0,98,56],"<|obj6|>":[0,37,24,66],"<|obj7|>":[79,0,111,33],"<|obj8|>":[46,4,103,83],"<|obj9|>":[46,4,103,70]} | [
112,
84
] | 2,093 | |
157 | [
{
"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 rhombus ABCD with diagonals AC = 6.0 and BD = 8.0. Determine the length of one side of the rhombus. Represent the side length as 's'.\nChoices:\nA... | {"<|obj1|>":[5,5,129,111],"<|obj2|>":[11,0,139,111],"<|obj3|>":[11,35,129,59]} | [
140,
112
] | 2,453 | |
1910 | [
{
"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, the points D and E are on the edges AB and AC respectively, DE is parallel to BC. Given that AE is 24 units long and AD/AB is 12/28, what is... | {"<|obj1|>":[0,0,83,111],"<|obj2|>":[0,18,80,111],"<|obj3|>":[60,37,83,70],"<|obj4|>":[23,28,75,61],"<|obj5|>":[4,84,14,108],"<|obj6|>":[46,0,80,61],"<|obj7|>":[60,18,83,111],"<|obj8|>":[46,0,80,103]} | [
84,
112
] | 1,725 | |
1815 | [
{
"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: Provided that angle AOB is identified as the central angle of circle O in the given figure, with a measurement of 60.0 degrees, what is the value of the angl... | {"<|obj1|>":[0,0,167,167],"<|obj2|>":[14,0,167,167],"<|obj3|>":[14,0,167,167],"<|obj4|>":[7,98,91,161],"<|obj5|>":[63,133,98,161],"<|obj6|>":[126,77,154,91]} | [
168,
168
] | 2,397 | |
1040 | [
{
"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, the intersection of lines AB and CD is denoted as point O. The line segment EO is perpendicular to AB, intersecting it at point O wh... | {"<|obj1|>":[99,75,135,135],"<|obj2|>":[75,99,111,139],"<|obj3|>":[52,0,76,65],"<|obj4|>":[52,75,76,100],"<|obj5|>":[11,0,123,139],"<|obj6|>":[0,0,139,139],"<|obj7|>":[64,29,139,135],"<|obj8|>":[11,0,135,135]} | [
140,
140
] | 2,273 | |
438 | [
{
"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 the chord of circle O, the radius OC is perpendicular to AB at point D. If OB is 5 units long and CD is 1 unit long, what is the l... | {"<|obj1|>":[0,14,108,108],"<|obj2|>":[9,0,66,56],"<|obj3|>":[0,14,28,70],"<|obj4|>":[46,56,61,70],"<|obj5|>":[32,14,61,66]} | [
112,
112
] | 1,947 | |
9111 | [
{
"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 quadrilateral ABCD is an inscribed quadrilateral of circle O, angle BCD = 120.0, then the size of angle BOD is ()\nChoices:\nA: 8... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[0,0,89,111],"<|obj3|>":[9,0,111,111],"<|obj4|>":[14,4,108,111]} | [
112,
112
] | 1,533 | |
600 | [
{
"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, when a beam of parallel light is introduced to a sheet that is parallel to the opposite side and creates an angle (angle 1) of 110° wit... | {"<|obj1|>":[0,0,135,83],"<|obj2|>":[0,5,139,72],"<|obj3|>":[0,41,123,83],"<|obj4|>":[0,0,139,83]} | [
140,
84
] | 2,470 | |
1376 | [
{
"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, let's consider parallelogram ABCD with diagonals AC and BD intersecting at point O. Further, let line segment OE be parallel to AB an... | {"<|obj1|>":[0,0,167,111],"<|obj2|>":[0,14,161,98],"<|obj3|>":[0,7,167,105],"<|obj4|>":[70,42,98,70],"<|obj5|>":[70,0,112,70],"<|obj6|>":[7,0,167,98]} | [
168,
112
] | 2,521 | |
1578 | [
{
"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 quadrilateral ABCD, which is inscribed within circle O, if angle A is 70 degrees?\nChoices:\nA: 100°\nB: 110°\nC: 120°\nD: ... | {"<|obj1|>":[0,0,154,139],"<|obj2|>":[0,0,167,133]} | [
168,
140
] | 1,860 | |
1672 | [
{
"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 examining the figure given, in which angle C measures 90 degrees and the lengths of AD, BC, and CD are specified as 13, 3, and 4 respectively, and angle... | {"<|obj1|>":[0,0,223,111],"<|obj2|>":[158,0,223,111],"<|obj3|>":[0,28,131,103],"<|obj4|>":[158,56,215,111],"<|obj5|>":[140,0,223,94],"<|obj6|>":[18,0,223,111]} | [
224,
112
] | 1,547 | |
14582 | [
{
"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 on the circle O, and angle ACB = 43°. The degree measure of angle AOB is ().\nChoices:\nA: 83°\nB: 84°\nC: 86°... | {"<|obj1|>":[0,4,111,111],"<|obj2|>":[0,70,103,111],"<|obj3|>":[88,70,108,98],"<|obj4|>":[28,0,84,56],"<|obj5|>":[9,4,108,111],"<|obj6|>":[4,0,111,111],"<|obj7|>":[0,9,103,111],"<|obj8|>":[70,65,103,98],"<|obj9|>":[9,9,98,89]} | [
112,
112
] | 2,320 | |
1539 | [
{
"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, line c intersects with lines a and b, where a is parallel to b. If angle 1 is known to be 60 degrees, what is the measure of angle 2?\nChoices... | {"<|obj1|>":[18,0,111,111],"<|obj2|>":[9,0,111,111],"<|obj3|>":[79,32,111,47],"<|obj4|>":[14,74,28,84],"<|obj5|>":[28,4,52,94]} | [
112,
112
] | 2,622 | |
1413 | [
{
"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 plane Cartesian coordinate system, consider triangle ABC and triangle DEF as similar figures with the coordinate origin O as the center of similarity. I... | {"<|obj1|>":[0,0,107,99],"<|obj2|>":[8,8,82,91],"<|obj3|>":[114,82,139,99],"<|obj4|>":[57,0,195,132],"<|obj5|>":[0,90,66,132],"<|obj6|>":[106,8,180,75],"<|obj7|>":[0,41,25,116],"<|obj8|>":[155,41,180,75],"<|obj9|>":[40,32,66,132],"<|obj10|>":[106,8,147,124]} | [
196,
140
] | 2,284 | |
468 | [
{
"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 ABO measures 36 degrees and points A, B, and C are all on circle O, what is the degree of angle ACB?\nChoices:\nA: 54°\nB: 27°\nC: 36°\nD: 108°.\nPl... | {"<|obj1|>":[11,11,139,129],"<|obj2|>":[5,58,41,123],"<|obj3|>":[75,0,105,30],"<|obj4|>":[5,99,41,129],"<|obj5|>":[64,58,82,88],"<|obj6|>":[0,0,139,139]} | [
140,
140
] | 1,121 | |
404 | [
{
"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 of triangle ABC, where angle A is 30° and angle ACB is 90°. If CD bisects angle ACB, what is the measure of angle ADC?\nChoices:\n... | {"<|obj1|>":[0,0,83,55],"<|obj2|>":[38,28,81,53],"<|obj3|>":[45,10,63,49],"<|obj4|>":[35,3,63,46]} | [
84,
56
] | 1,593 | |
1724 | [
{
"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|>":[40,0,188,88],"<|obj2|>":[40,0,180,96],"<|obj3|>":[8,47,131,104]} | [
196,
112
] | 2,924 | |
354 | [
{
"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 Rttriangle ABC, angle C = 90.0, BC = 4.0, AC = 3.0, then the value of sinA is ()\nChoices:\nA: \\frac{4}{3}\nB: \\frac{3}{4}\nC: \... | {"<|obj1|>":[0,0,83,83],"<|obj2|>":[56,66,77,83],"<|obj3|>":[66,3,74,21],"<|obj4|>":[0,49,60,83],"<|obj5|>":[0,0,46,83],"<|obj6|>":[38,3,81,46],"<|obj7|>":[14,0,77,42]} | [
84,
84
] | 1,339 | |
1964 | [
{
"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, and with AC and AB measuring 5 and 13 units, respectively. D is designated as the midpoint of AC. If ... | {"<|obj1|>":[0,0,139,83],"<|obj2|>":[5,53,18,78],"<|obj3|>":[0,0,123,78],"<|obj4|>":[0,5,123,60],"<|obj5|>":[11,29,82,54],"<|obj6|>":[110,59,129,78],"<|obj7|>":[17,5,123,36]} | [
140,
84
] | 3,138 | |
1431 | [
{
"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 showing parallelogram ABCD with diagonals intersecting at point O. If side AB is measured at 6.0 and the perimeter of triangle OCD is 23.... | {"<|obj1|>":[35,0,119,83],"<|obj2|>":[21,0,167,83]} | [
168,
84
] | 1,857 | |
758 | [
{
"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 two concentric circles, where the chord AB of the larger circle is tangent to the smaller circle at point C, with a length of 8.0 units, determine the ... | {"<|obj1|>":[9,0,111,84],"<|obj2|>":[0,0,111,111],"<|obj3|>":[9,74,70,108],"<|obj4|>":[42,23,89,70]} | [
112,
112
] | 2,915 | |
288 | [
{
"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, the perimeter of diamond ABCD is 80cm, and the length of diagonal AC is 24cm. Therefore, the length of the other diagonal BD is ().\nChoices:\... | {"<|obj1|>":[0,0,139,101],"<|obj2|>":[11,0,135,95],"<|obj3|>":[0,0,135,95],"<|obj4|>":[11,0,139,111],"<|obj5|>":[11,0,139,95]} | [
140,
112
] | 2,040 | |
908 | [
{
"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 the right angle vertex of the triangle board is placed on one side of the ruler and angle 1 measures 75°, what is the degree measure ... | {"<|obj1|>":[0,0,135,66],"<|obj2|>":[0,65,139,83],"<|obj3|>":[0,0,139,83],"<|obj4|>":[0,0,139,83]} | [
140,
84
] | 4,199 | |
1702 | [
{
"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 AF bisects angle BAC, F is a point on BC, and BF = 4 CF, AC = 2.0, then what is the length of AB?\nChoices:\nA: 2.0\nB: 4.0\nC: 8... | {"<|obj1|>":[7,0,167,111],"<|obj2|>":[70,0,126,111],"<|obj3|>":[98,0,167,105],"<|obj4|>":[14,14,98,98]} | [
168,
112
] | 1,430 | |
1944 | [
{
"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 right-angled triangle ABC, where angle C measures 90.0 degrees, BC measures 3.0 units, and AC measures 4.0 units, calculate the value of sinA denoted by... | {"<|obj1|>":[46,3,117,74],"<|obj2|>":[110,88,135,111],"<|obj3|>":[64,3,135,74],"<|obj4|>":[10,16,95,101],"<|obj5|>":[40,52,117,77],"<|obj6|>":[10,16,95,101]} | [
140,
112
] | 1,221 | |
1450 | [
{
"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 rectangle ABCD, where diagonal lines AC and BD intersect at point O, if the length of AB is 2 units and angle AOB is 60 degrees, what will be th... | {"<|obj1|>":[0,0,129,83],"<|obj2|>":[23,11,123,78],"<|obj3|>":[23,11,123,78],"<|obj4|>":[52,13,123,83]} | [
140,
84
] | 1,972 | |
1658 | [
{
"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, line a is parallel to line b, and angle 1 measures 52°. What is the degree measure of angle 2? Represent the measure of angle 2 as θ.\n... | {"<|obj1|>":[0,24,195,75],"<|obj2|>":[122,90,188,139],"<|obj3|>":[0,0,195,139],"<|obj4|>":[0,82,147,139]} | [
196,
140
] | 3,515 | |
682 | [
{
"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, if l1 needs to be parallel to l2, how many degrees should l1 rotate around point O? Express the minimum rotation as variable x.\nChoice... | {"<|obj1|>":[7,0,42,14],"<|obj2|>":[10,31,32,55],"<|obj3|>":[0,0,83,14]} | [
84,
56
] | 2,251 | |
563 | [
{
"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 showing parallelogram ABCD, where point P lies on side AD, and the ratio between AP and DP is 1.0:2.0. If the area of the shaded region i... | {"<|obj1|>":[5,0,107,83],"<|obj2|>":[14,0,98,83],"<|obj3|>":[0,0,167,83],"<|obj4|>":[105,63,133,83],"<|obj5|>":[147,0,167,21]} | [
168,
84
] | 2,814 | |
995 | [
{
"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 representation of a drain pipe's cross-sectional area in the figure, with the radius of the central cross-sectional section as 'radius' units (radi... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[0,0,111,111],"<|obj3|>":[42,42,70,66],"<|obj4|>":[0,0,111,111]} | [
112,
112
] | 3,887 | |
116 | [
{
"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 of triangle ABC, where AB and AC are both equal to 8 units. AD is the angle bisector and BE is the median. Find the length of DE.\nChoic... | {"<|obj1|>":[0,0,111,135],"<|obj2|>":[5,5,65,123],"<|obj3|>":[38,5,109,76],"<|obj4|>":[35,110,59,139],"<|obj5|>":[41,5,65,123],"<|obj6|>":[5,99,101,135],"<|obj7|>":[58,29,95,82],"<|obj8|>":[0,0,111,139],"<|obj9|>":[38,58,109,129]} | [
112,
140
] | 3,220 | |
174 | [
{
"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 refer to the provided diagram showcasing Zhao Shuang's string graph, which is comprised of four congruent right-angled triangles and one small square, ... | {"<|obj1|>":[0,0,139,139],"<|obj2|>":[52,40,100,94]} | [
140,
140
] | 3,092 | |
703 | [
{
"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, we have a rhombus ABCD where the diagonals AC and BD intersect at point O. A line perpendicular to AB is drawn through point D, in... | {"<|obj1|>":[0,0,223,139],"<|obj2|>":[0,0,223,139],"<|obj3|>":[0,0,215,139],"<|obj4|>":[102,9,215,122],"<|obj5|>":[0,0,196,139],"<|obj6|>":[84,65,196,122],"<|obj7|>":[56,28,84,139],"<|obj8|>":[28,9,122,122]} | [
224,
140
] | 4,341 | |
1033 | [
{
"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 illustrated in the figure, and CE is the bisector for the exterior angle ACD. Given that angle B is 35 degrees and angle ACE is 60 degrees, w... | {"<|obj1|>":[18,9,103,111],"<|obj2|>":[9,65,47,103],"<|obj3|>":[112,0,178,111],"<|obj4|>":[121,0,178,84],"<|obj5|>":[121,37,168,84],"<|obj6|>":[121,56,159,94]} | [
224,
112
] | 1,862 | |
11923 | [
{
"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: In the diagram, OA and OB are two radii of circle O, and angle AOB = 100°. Point C is on circle O. The degree measure of angle ACB is ().\nChoices:\nA... | {"<|obj1|>":[0,5,135,139],"<|obj2|>":[58,58,88,88],"<|obj3|>":[0,75,129,135],"<|obj4|>":[99,75,135,117],"<|obj5|>":[29,81,129,139],"<|obj6|>":[110,81,129,117],"<|obj7|>":[46,5,76,35],"<|obj8|>":[17,0,139,139],"<|obj9|>":[17,0,135,129]} | [
140,
140
] | 2,872 | |
802 | [
{
"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, let's represent the length of AB as variable u (u = 6) and the length of BC as variable v (v = 8). D and E are the midpoints of AB an... | {"<|obj1|>":[35,0,100,78],"<|obj2|>":[5,0,139,83],"<|obj3|>":[17,29,100,60],"<|obj4|>":[11,59,129,78]} | [
140,
84
] | 2,899 | |
1409 | [
{
"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 radii of the two concentric circles are 4.0 and 5.0 respectively, and a chord AB of the great circle is tangent to the small circ... | {"<|obj1|>":[0,0,83,83],"<|obj2|>":[0,0,83,83],"<|obj3|>":[31,31,63,49],"<|obj4|>":[0,0,83,83]} | [
84,
84
] | 1,818 | |
85 | [
{
"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, if angle C measures 40.0 degrees, determine the measure of angle AOB. Represent the measure of angle AOB as α.\nChoices:\nA: 80°\nB: 60°\nC: ... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[46,32,70,66],"<|obj3|>":[4,88,33,111],"<|obj4|>":[79,70,98,98],"<|obj5|>":[0,0,84,47],"<|obj6|>":[0,0,103,111],"<|obj7|>":[14,9,98,111],"<|obj8|>":[14,9,111,111]} | [
112,
112
] | 2,725 | |
1069 | [
{
"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: How would you determine the measure of angle BAD in triangle ABC, where AB is equal to AC, and AD is the median of side BC, with angle B measuring 70 degrees... | {"<|obj1|>":[35,35,123,101],"<|obj2|>":[58,11,82,101],"<|obj3|>":[64,0,82,30],"<|obj4|>":[52,70,82,111],"<|obj5|>":[5,0,135,111]} | [
140,
112
] | 1,819 | |
256 | [
{
"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 presenting right triangle ABC, where angle A is 90 degrees, and point D represents the intersection of the perpendicular line AD and ... | {"<|obj1|>":[0,0,167,111],"<|obj2|>":[0,0,161,111],"<|obj3|>":[70,63,126,111],"<|obj4|>":[0,70,35,98],"<|obj5|>":[0,0,147,111],"<|obj6|>":[0,28,84,111],"<|obj7|>":[147,70,161,105],"<|obj8|>":[147,70,161,111]} | [
168,
112
] | 2,516 |