id string | image image | conversations list | regions string | image_size list | num_tokens int64 |
|---|---|---|---|---|---|
1572 | [
{
"from": "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, points A, B, and C lie on circle O. If the measure of angle A is 32.0 degrees, then what is the measure of angle BOC? Represent the measure o... | {"<|obj1|>":[23,0,111,70],"<|obj2|>":[4,23,14,52],"<|obj3|>":[4,84,28,103],"<|obj4|>":[84,84,98,108],"<|obj5|>":[4,0,108,111],"<|obj6|>":[18,9,94,98]} | [
112,
112
] | 1,331 | |
1227 | [
{
"from": "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 the inscribed quadrilateral of circle O, AB = AD, if angle C = 68.0, then the degree of angle ABD is ()\nCh... | {"<|obj1|>":[0,5,135,139],"<|obj2|>":[0,11,135,139],"<|obj3|>":[5,0,129,139],"<|obj4|>":[29,5,129,139],"<|obj5|>":[0,11,135,139],"<|obj6|>":[11,11,139,123],"<|obj7|>":[17,11,129,123]} | [
140,
140
] | 1,540 | |
226 | [
{
"from": "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, rectangle ABCD is represented. Diagonal lines AC and BD intersect at point O. Points E and F are the respective midpoints of AO and AD.... | {"<|obj1|>":[0,5,139,83],"<|obj2|>":[11,65,30,78],"<|obj3|>":[11,65,30,78],"<|obj4|>":[11,17,135,78],"<|obj5|>":[11,17,129,78],"<|obj6|>":[58,41,82,60],"<|obj7|>":[29,17,76,83],"<|obj8|>":[29,0,117,48],"<|obj9|>":[15,0,114,83]} | [
140,
84
] | 2,204 | |
36 | [
{
"from": "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, angle 1 = 100.0, angle C = 70.0, then the size of angle A is ()\nChoices:\nA: 10°\nB: 20°\nC: 30°\nD: 80°.\nPlease answer the questio... | {"<|obj1|>":[9,0,108,83],"<|obj2|>":[0,23,28,52],"<|obj3|>":[79,28,98,42],"<|obj4|>":[60,0,84,19],"<|obj5|>":[70,28,111,83]} | [
112,
84
] | 1,361 | |
678 | [
{
"from": "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, ABCD is a quadrilateral inscribed in a circle. If the measure of angle C is 50.0 degrees, determine the measure of angle A. Represent t... | {"<|obj1|>":[4,42,103,111],"<|obj2|>":[23,0,111,98],"<|obj3|>":[23,14,108,108]} | [
112,
112
] | 2,211 | |
508 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: O is the outer center of triangle ABC, angle BOC = 40.0, then angle BAC = ()\nChoices:\nA: 40°\nB: 30°\nC: 20°\nD: 10°.\nPlease answer the question using a l... | {"<|obj1|>":[52,11,111,123],"<|obj2|>":[26,35,97,105],"<|obj3|>":[13,32,111,131],"<|obj4|>":[0,0,83,111],"<|obj5|>":[0,116,59,139],"<|obj6|>":[0,0,111,111]} | [
112,
140
] | 2,273 | |
1309 | [
{
"from": "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 ABC is inscribed in circle O, with AD as the diameter of circle O, and angle ABC measures 30.0 degrees. Determine the measure ... | {"<|obj1|>":[0,0,94,83],"<|obj2|>":[4,0,103,83],"<|obj3|>":[0,9,94,83],"<|obj4|>":[23,0,84,70],"<|obj5|>":[23,0,84,70],"<|obj6|>":[4,4,94,33],"<|obj7|>":[9,0,89,24],"<|obj8|>":[4,4,94,33]} | [
112,
84
] | 2,382 | |
954 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Use a sector with a radius of 6.0 and a central angle of 240.0 to form the lateral surface of a cone, then the radius of the bottom of the cone is ()\nChoice... | {"<|obj1|>":[28,0,83,56],"<|obj2|>":[28,0,83,56]} | [
84,
112
] | 1,084 | |
1405 | [
{
"from": "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 vertices A, B, and C of triangle ABC are positioned on circle O and angle ABC is 25 degrees, what is the measurement of angle AOC?\nChoices:\nA: 25°... | {"<|obj1|>":[11,0,139,129],"<|obj2|>":[29,5,94,30],"<|obj3|>":[0,58,30,135],"<|obj4|>":[64,5,129,82],"<|obj5|>":[64,52,94,117],"<|obj6|>":[11,0,139,139]} | [
140,
140
] | 1,562 | |
440 | [
{
"from": "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 depicted figure, points A, B, and P lie on circle O. Find the measure of angle P if angle AOB measures 30.0 degrees. Express the measure of angle P as... | {"<|obj1|>":[4,0,111,84],"<|obj2|>":[28,70,94,108],"<|obj3|>":[79,65,98,98],"<|obj4|>":[9,23,14,42],"<|obj5|>":[14,14,111,103]} | [
112,
112
] | 1,739 | |
698 | [
{
"from": "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 a sector with a radius of 9.0 and a central angle of 120.0 is used to enclose the lateral surface of a cone (the joints are ignored), then the radius of t... | {"<|obj1|>":[0,0,111,139],"<|obj2|>":[0,0,111,139]} | [
112,
140
] | 1,876 | |
1219 | [
{
"from": "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, consider the circle O with a radius of 1.0. Let A, B, and C be three points on the circle. Denote the measure of angle C as variable... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[14,84,80,108],"<|obj3|>":[28,0,103,111],"<|obj4|>":[4,4,111,111]} | [
112,
112
] | 1,611 | |
1025 | [
{
"from": "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, DE parallel BC, and AD = 4.0, DB = 2.0, DE = 3.0, then the length of BC is ()\nChoices:\nA: \\frac{3}{2}\nB: \\frac{9}{2}\nC: \\frac... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[14,46,70,103],"<|obj3|>":[88,60,98,75],"<|obj4|>":[4,46,103,80],"<|obj5|>":[4,84,24,94],"<|obj6|>":[9,0,103,111]} | [
112,
112
] | 2,029 | |
1294 | [
{
"from": "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 AD be the altitude on side BC, and let AE and BF be the angle bisectors of angle BAC and angle ABC respectively. They intersect at point... | {"<|obj1|>":[0,0,139,135],"<|obj2|>":[75,11,94,82],"<|obj3|>":[29,0,100,111],"<|obj4|>":[23,0,123,139],"<|obj5|>":[52,70,88,111],"<|obj6|>":[29,0,100,129],"<|obj7|>":[75,0,105,35],"<|obj8|>":[11,81,47,129],"<|obj9|>":[122,0,135,135],"<|obj10|>":[58,105,100,139]} | [
140,
140
] | 4,538 | |
17 | [
{
"from": "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, AB = 5.0, AC = 2.0, then the value of cosA is ()\nChoices:\nA: \\frac{√{21}}{5}\nB: \\frac{2}{5}\n... | {"<|obj1|>":[0,0,111,55],"<|obj2|>":[0,23,33,55],"<|obj3|>":[23,14,111,55],"<|obj4|>":[4,18,98,52],"<|obj5|>":[4,0,98,55]} | [
112,
56
] | 1,415 | |
1111 | [
{
"from": "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 is the inscribed triangle of circle O, AB is the diameter of circle O, point D is on circle O, angle ADC = 55.0, then th... | {"<|obj1|>":[11,0,139,106],"<|obj2|>":[11,5,129,89],"<|obj3|>":[11,0,135,95],"<|obj4|>":[17,0,129,106],"<|obj5|>":[11,0,135,111],"<|obj6|>":[11,0,135,106]} | [
140,
112
] | 1,786 | |
1988 | [
{
"from": "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 point O be a point inside the triangle. Connect AO, BO, and CO to their midpoints D, E, and F respectively. If DE is 4.0 units long, wha... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[32,32,84,80],"<|obj3|>":[4,0,111,111],"<|obj4|>":[4,0,111,111],"<|obj5|>":[0,0,111,111]} | [
112,
112
] | 1,966 | |
241 | [
{
"from": "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 equal to 30.0 degrees and points A, B, and C are on circle O, what is the degree measure of angle BAO in the figure?\nChoices:\nA: 55°\nB: 60... | {"<|obj1|>":[0,0,83,83],"<|obj2|>":[7,7,74,77],"<|obj3|>":[0,66,35,83],"<|obj4|>":[42,63,63,83],"<|obj5|>":[63,7,83,32],"<|obj6|>":[3,14,63,77],"<|obj7|>":[24,45,56,77],"<|obj8|>":[10,3,74,67],"<|obj9|>":[28,7,83,83],"<|obj10|>":[3,0,83,81],"<|obj11|>":[0,0,83,83]} | [
84,
84
] | 1,793 | |
983 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Depicted in the diagram is triangle ABC, with AB measuring 5 units, BC measuring 3 units, and AC measuring 4 units. If a circle centered at C touches side AB... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[14,4,108,103]} | [
112,
112
] | 1,669 | |
695 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the provided diagram, if the lengths of the diagonals of rhombus ABCD are represented by the variables p and q (p = 8, q = 6), what is the perimeter of rh... | {"<|obj1|>":[11,5,129,111],"<|obj2|>":[11,0,139,111],"<|obj3|>":[17,15,88,86],"<|obj4|>":[11,0,139,106],"<|obj5|>":[11,15,82,86],"<|obj6|>":[5,41,76,111]} | [
140,
112
] | 3,099 | |
1185 | [
{
"from": "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 picture, Xiaoli made a cone-shaped colored paper Christmas hat by herself. The length of the generatrix is 30.0 and the bottom radius is 10.0... | {"<|obj1|>":[0,0,55,55]} | [
56,
56
] | 1,246 | |
123 | [
{
"from": "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 depicting triangle ABC, with D, E, and F marking the midpoints of sides BC, AD, and BE respectively, if the area of triangle ABC measures 1... | {"<|obj1|>":[7,0,147,49],"<|obj2|>":[63,0,167,111],"<|obj3|>":[70,77,91,111],"<|obj4|>":[70,21,91,56],"<|obj5|>":[7,21,91,105]} | [
168,
112
] | 2,154 | |
1568 | [
{
"from": "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, quadrilateral ABCD is displayed, with angle C measuring 110°. Additionally, both the exterior angles adjacent to angle BAD and angle ABC are 1... | {"<|obj1|>":[0,0,195,59],"<|obj2|>":[16,16,98,83]} | [
196,
84
] | 2,354 | |
1839 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, in the diamond ABCD, AC = 8.0, BD = 6.0, then the side length of the diamond is ()\nChoices:\nA: 4\nB: 5\nC: 6\nD: 10.\nPlease answer... | {"<|obj1|>":[0,0,139,111],"<|obj2|>":[64,0,105,65],"<|obj3|>":[0,0,70,111],"<|obj4|>":[29,88,59,111]} | [
140,
112
] | 2,285 | |
1059 | [
{
"from": "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 has AD as its median on the BC side, with E and F serving as the midpoints of AD and BE, respectively. What is the area of ... | {"<|obj1|>":[7,0,167,139],"<|obj2|>":[63,0,167,133],"<|obj3|>":[77,7,140,84],"<|obj4|>":[19,39,121,139],"<|obj5|>":[7,7,147,139]} | [
168,
140
] | 4,555 | |
1787 | [
{
"from": "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 of triangle ABC with angle ACB measuring 90.0 degrees, AB measuring 5.0 units, and AC measuring 4.0 units, what is the lateral area of the c... | {"<|obj1|>":[28,4,83,61],"<|obj2|>":[28,0,47,24],"<|obj3|>":[14,74,70,108],"<|obj4|>":[32,74,83,98]} | [
84,
112
] | 1,434 | |
231 | [
{
"from": "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 picture, Xiaoli crafted her own cone-shaped colored paper Christmas hat. The generatrix measures 30.0 and the bottom radius is 10.0. How m... | {"<|obj1|>":[0,0,55,55]} | [
56,
56
] | 1,615 | |
1392 | [
{
"from": "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, circle O is centered at point O. Diameter AB is perpendicular to chord DE at point C. If DE measures 8 units and OC measures 3 units... | {"<|obj1|>":[0,0,77,83],"<|obj2|>":[0,0,83,81],"<|obj3|>":[0,0,83,83],"<|obj4|>":[7,7,74,74],"<|obj5|>":[17,3,32,21],"<|obj6|>":[0,42,42,83],"<|obj7|>":[7,10,70,74]} | [
84,
84
] | 2,586 | |
127 | [
{
"from": "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 and triangle DEF are similar figures with point O as the center of similarity. If the ratio of similarity is represented by... | {"<|obj1|>":[14,0,154,161],"<|obj2|>":[42,77,154,147],"<|obj3|>":[0,7,28,42]} | [
168,
168
] | 2,074 | |
1228 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the figure, quadrilateral ABCD has side lengths AB = 2, BC = 2, CD = 4, and DA = 2√6. Additionally, angle ABC is a right angle. What formula can ... | {"<|obj1|>":[49,7,139,167],"<|obj2|>":[105,147,133,167],"<|obj3|>":[42,0,139,167],"<|obj4|>":[0,0,139,167],"<|obj5|>":[0,0,139,167],"<|obj6|>":[0,0,139,167],"<|obj7|>":[56,63,139,147]} | [
140,
168
] | 4,647 | |
933 | [
{
"from": "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 of triangle ABC, where BC is parallel to ED and angle C measures 65°, what is the degree of angle CED?\nChoices:\nA: 65°\nB: 115°\nC: ... | {"<|obj1|>":[28,0,139,111],"<|obj2|>":[11,47,88,71],"<|obj3|>":[11,0,139,111]} | [
140,
112
] | 2,103 | |
1380 | [
{
"from": "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 lengths of the diagonals AC and BD in the diamond ABCD as 6.0 and 8.0, what is the measurement of the diamond's side length?\nChoices:\nA: 5\nB: 6\... | {"<|obj1|>":[11,0,139,106],"<|obj2|>":[58,0,82,18],"<|obj3|>":[11,0,139,111],"<|obj4|>":[58,88,76,111],"<|obj5|>":[0,35,30,59],"<|obj6|>":[122,41,135,65]} | [
140,
112
] | 1,753 | |
103 | [
{
"from": "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 lever system at a railroad crossing, where the short arm has a length of 'L1' units (L1 = 1.0) and the long arm has a length of 'L2' units (L2 = 16.0), ... | {"<|obj1|>":[0,29,47,95],"<|obj2|>":[0,0,139,106],"<|obj3|>":[40,58,59,89]} | [
140,
112
] | 1,587 | |
189 | [
{
"from": "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 points A, B, and C are located on circle O as depicted in the figure, and angle AOB is equal to 60.0 degrees, what is the degree measure of angle ACB?\nCh... | {"<|obj1|>":[9,4,111,111],"<|obj2|>":[84,9,103,33],"<|obj3|>":[88,74,103,89],"<|obj4|>":[4,42,28,66],"<|obj5|>":[14,4,108,103],"<|obj6|>":[23,14,103,103],"<|obj7|>":[37,9,111,98]} | [
112,
112
] | 2,359 | |
956 | [
{
"from": "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 arc AB is equal to arc AC in circle O and angle AOB is measured at 44.0 degrees, what is the degree measure of angle ADC?\nChoices:\n... | {"<|obj1|>":[0,0,111,139],"<|obj2|>":[11,5,106,129],"<|obj3|>":[47,11,59,30],"<|obj4|>":[82,29,101,41],"<|obj5|>":[11,11,95,129],"<|obj6|>":[0,110,30,139],"<|obj7|>":[76,17,101,41],"<|obj8|>":[29,5,106,65],"<|obj9|>":[35,11,95,117]} | [
112,
140
] | 1,552 | |
1036 | [
{
"from": "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 provided figure, circle A possesses a radius of 10.0. Chord BC corresponds to the central angle BAC, whereas chord ED corresponds to the central an... | {"<|obj1|>":[11,0,117,129],"<|obj2|>":[0,70,70,139],"<|obj3|>":[87,0,139,135],"<|obj4|>":[5,5,123,111],"<|obj5|>":[5,5,111,123]} | [
140,
140
] | 2,270 | |
1980 | [
{
"from": "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 circle O circumscribes triangle ABC. If the measure of angle A is 'x' degrees (x = 30.0°) and the length of side BC is 'y' units (y ... | {"<|obj1|>":[70,41,139,111]} | [
140,
112
] | 1,407 | |
325 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the final answer at the end.\nQuestion: Point out the elements visible in the diagram..\nPlease answer the question using a long-chain reasoning style and think step by step."
},
{
"from": "gpt",
"value": "So I've... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[42,32,66,61],"<|obj3|>":[0,79,108,111],"<|obj4|>":[88,79,108,98],"<|obj5|>":[9,14,111,111],"<|obj6|>":[9,9,103,111],"<|obj7|>":[9,9,108,111]} | [
112,
112
] | 1,971 | |
1645 | [
{
"from": "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 provided figure equals 100 degrees and line a is parallel to line b, what is the measurement of angle 2?\nChoices:\nA: 110°\nB: 80°\nC: 70°... | {"<|obj1|>":[0,0,139,72],"<|obj2|>":[52,0,123,71],"<|obj3|>":[5,59,30,83],"<|obj4|>":[58,53,82,83],"<|obj5|>":[58,0,139,83]} | [
140,
84
] | 2,294 | |
15464 | [
{
"from": "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, AB is the diameter of circle O. Points C and D are two points on the circle, and angle AOC = 126°. Therefore, angle CDB = ().\nChoic... | {"<|obj1|>":[11,5,82,106],"<|obj2|>":[5,38,76,109],"<|obj3|>":[81,88,100,111],"<|obj4|>":[87,17,111,30],"<|obj5|>":[29,5,129,111],"<|obj6|>":[17,0,139,111],"<|obj7|>":[5,5,82,106],"<|obj8|>":[29,5,135,106],"<|obj9|>":[39,16,124,101],"<|obj10|>":[39,16,124,101]} | [
140,
112
] | 1,523 | |
1623 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In triangle ABC, with AB = AC = 5 and BC = 6, a point P moves on side BC. Denote the length of AP as variable x. What is the minimum value of x?\nChoices:\nA... | {"<|obj1|>":[7,0,83,55],"<|obj2|>":[10,0,83,55]} | [
84,
56
] | 1,774 | |
699 | [
{
"from": "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, point D lies on AB and point E lies on AC, such that line DE is parallel to line BC. Given that AD = 2.0, DB = 1.0, and AE = 3.0, what is th... | {"<|obj1|>":[28,0,112,83],"<|obj2|>":[49,0,119,42],"<|obj3|>":[49,7,140,63],"<|obj4|>":[21,42,133,63],"<|obj5|>":[147,63,161,83]} | [
168,
84
] | 1,385 | |
1350 | [
{
"from": "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 plan depicting the layout of a pond, Xiaoming took point A outside the pond to determine the distance between locations B and C. He connected the line... | {"<|obj1|>":[0,0,167,98],"<|obj2|>":[0,14,167,111],"<|obj3|>":[35,49,119,105]} | [
168,
112
] | 1,889 | |
480 | [
{
"from": "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, circle O is the circumscribed circle of triangle ABC. Connect OA and OB, angle C = 40.0, then the degree of angle OAB is ()\nChoices:... | {"<|obj1|>":[0,0,98,52],"<|obj2|>":[18,14,111,111],"<|obj3|>":[18,0,98,98],"<|obj4|>":[18,0,98,98]} | [
112,
112
] | 1,689 | |
1248 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given diagram, the ray OC serves as the angle bisector of ∠AOB. Let D be a point on the ray OC and DP be perpendicular to OA at point P, with a length... | {"<|obj1|>":[0,0,167,111],"<|obj2|>":[28,0,167,111],"<|obj3|>":[0,0,167,111],"<|obj4|>":[63,0,119,111],"<|obj5|>":[35,91,63,105],"<|obj6|>":[14,7,167,111]} | [
168,
112
] | 3,690 | |
628 | [
{
"from": "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, line AB is parallel to line CD. Line EF intersects AB and CD at points E and F respectively. Line EG bisects angle AEF. If angle 1 is re... | {"<|obj1|>":[171,23,195,40],"<|obj2|>":[8,71,195,104],"<|obj3|>":[73,0,195,111],"<|obj4|>":[73,0,147,111],"<|obj5|>":[24,0,147,111],"<|obj6|>":[40,0,164,111]} | [
196,
112
] | 3,025 | |
1778 | [
{
"from": "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 a semicircle, and C, D are two points on the semicircle. If angle CAB = 24°, then the degree of angle ADC is __... | {"<|obj1|>":[0,0,161,77],"<|obj2|>":[28,0,147,91],"<|obj3|>":[14,7,147,91],"<|obj4|>":[7,7,49,91],"<|obj5|>":[147,91,167,105],"<|obj6|>":[70,77,91,105],"<|obj7|>":[126,7,161,63],"<|obj8|>":[49,7,63,21],"<|obj9|>":[14,14,133,98],"<|obj10|>":[7,14,133,91],"<|obj11|>":[14,7,147,91],"<|obj12|>":[21,21,105,105]} | [
168,
112
] | 3,452 | |
1728 | [
{
"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|>":[14,7,167,83],"<|obj2|>":[91,0,126,35],"<|obj3|>":[7,56,21,77],"<|obj4|>":[147,42,167,77],"<|obj5|>":[63,63,98,83],"<|obj6|>":[0,42,56,77],"<|obj7|>":[14,0,147,83],"<|obj8|>":[70,0,140,77],"<|obj9|>":[21,0,147,83],"<|obj10|>":[0,42,49,77],"<|obj11|>":[28,14,167,83],"<|obj12|>":[0,42,49,77],"<|obj13|>":[147,... | [
168,
84
] | 1,696 | |
620 | [
{
"from": "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 schematic diagram of the escalator between the first and second floors of a shopping mall, where AB and CD represent the horizontal line of the ground... | {"<|obj1|>":[0,0,161,83],"<|obj2|>":[56,63,105,70],"<|obj3|>":[56,56,105,70],"<|obj4|>":[0,7,84,83],"<|obj5|>":[119,14,147,70],"<|obj6|>":[28,0,154,63]} | [
168,
84
] | 2,598 | |
934 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Consider the figure where line AB is parallel to line CD and line AE is perpendicular to line CE at point E. If angle EAB equals 120 degrees, what is the mea... | {"<|obj1|>":[196,0,223,19],"<|obj2|>":[177,93,206,111],"<|obj3|>":[0,0,47,94],"<|obj4|>":[18,56,75,111],"<|obj5|>":[0,0,196,111],"<|obj6|>":[18,28,56,111],"<|obj7|>":[0,0,187,94],"<|obj8|>":[0,28,178,111]} | [
224,
112
] | 2,746 | |
925 | [
{
"from": "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 of triangle ABC, where angle C measures 90.0 degrees and angle A measures 30.0 degrees, if angle ABC is bisected by line segment BD, ... | {"<|obj1|>":[8,0,180,83],"<|obj2|>":[49,8,195,83],"<|obj3|>":[89,0,195,76]} | [
196,
84
] | 1,225 | |
710 | [
{
"from": "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 point O acts as the circumcenter of triangle ABC and angle A is 40 degrees, what is the degree measure of angle BOC after the connection of BO and CO in... | {"<|obj1|>":[14,14,139,167],"<|obj2|>":[49,77,77,119],"<|obj3|>":[49,0,133,167],"<|obj4|>":[14,126,35,161],"<|obj5|>":[98,133,126,167]} | [
140,
168
] | 2,784 | |
1823 | [
{
"from": "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 denote the length of side AB of parallelogram ABCD as 'p' where p = 5. If the perimeter of triangle OCD is 21, what is the sum of... | {"<|obj1|>":[7,0,167,83],"<|obj2|>":[14,63,119,83],"<|obj3|>":[98,7,154,83],"<|obj4|>":[14,0,167,83],"<|obj5|>":[42,7,167,83],"<|obj6|>":[14,7,133,83],"<|obj7|>":[63,35,91,63]} | [
168,
84
] | 2,018 | |
1055 | [
{
"from": "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, lines a and b are shown as parallel. If the measure of angle 1 is twice the measure of angle 2, what is the value of angle 2?\nChoice... | {"<|obj1|>":[0,0,223,167]} | [
224,
168
] | 5,545 | |
691 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: As shown in the diagram, the diagonals AC and BD of rectangle ABCD intersect at point O. Point P is a moving point on side AD. From point P, perpendiculars P... | {"<|obj1|>":[0,41,70,111],"<|obj2|>":[0,29,105,111],"<|obj3|>":[70,3,139,74],"<|obj4|>":[35,0,59,12],"<|obj5|>":[17,11,53,59],"<|obj6|>":[29,11,100,65]} | [
140,
112
] | 2,577 | |
1634 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If triangle ABC is inscribed in the circle O, and angle OBC is measured at 35°, then what is the measure of angle BAC?\nChoices:\nA: 35°\nB: 45°\nC: 55°\nD: ... | {"<|obj1|>":[0,0,108,103],"<|obj2|>":[9,0,70,38],"<|obj3|>":[14,4,108,108],"<|obj4|>":[9,4,103,111],"<|obj5|>":[14,14,103,89],"<|obj6|>":[0,23,111,111]} | [
112,
112
] | 2,025 | |
1844 | [
{
"from": "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 figure depicts rectangle ABCD, with AB measuring 8.0 units and AD measuring 6.0 units, and if EF represents the perpendicular bisector of the diagonal... | {"<|obj1|>":[0,9,223,139],"<|obj2|>":[18,9,75,56],"<|obj3|>":[46,102,103,139],"<|obj4|>":[93,28,131,94],"<|obj5|>":[84,0,159,66],"<|obj6|>":[56,102,94,139]} | [
224,
140
] | 3,243 | |
763 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If we observe the figure, we can see that there are points D and E located on the sides BA and BC of angle ABC, respectively, and that DE is perpendicular to... | {"<|obj1|>":[0,0,195,167],"<|obj2|>":[0,0,180,167],"<|obj3|>":[40,79,90,167],"<|obj4|>":[57,56,74,72],"<|obj5|>":[0,135,195,167],"<|obj6|>":[57,0,188,136],"<|obj7|>":[0,23,172,167]} | [
196,
168
] | 2,901 | |
1394 | [
{
"from": "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 points D and E are the midpoints of BC and AB, respectively, let's represent the area of triangle AED as variable h, where h = 3.... | {"<|obj1|>":[7,0,167,139],"<|obj2|>":[42,105,91,139],"<|obj3|>":[7,49,91,133],"<|obj4|>":[35,49,167,119]} | [
168,
140
] | 3,129 | |
1108 | [
{
"from": "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, in triangle ABC, let's denote the measure of angle ACB as variable x (x = 90°), the length of AC as variable y (y = 8), and the length ... | {"<|obj1|>":[5,5,111,117],"<|obj2|>":[17,105,36,129],"<|obj3|>":[5,5,30,41],"<|obj4|>":[5,5,111,139],"<|obj5|>":[0,0,95,139],"<|obj6|>":[15,58,86,129],"<|obj7|>":[82,105,106,139],"<|obj8|>":[11,0,111,123]} | [
112,
140
] | 2,938 | |
1275 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: A paper strip is aligned parallel to the sides of a right-angled triangle. If the measure of angle 1 is 60.0 units, find the measure of angle 2 in relation t... | {"<|obj1|>":[7,49,14,83],"<|obj2|>":[98,7,167,83],"<|obj3|>":[0,0,167,83],"<|obj4|>":[98,7,161,56]} | [
168,
84
] | 2,649 | |
1434 | [
{
"from": "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, there are two points C and D on the line segment AB, and AD = frac {1.0}{3.0} AB, C is the midpoint of AD, if AB = 12.0, the length o... | {"<|obj1|>":[0,0,223,27],"<|obj2|>":[9,0,187,27],"<|obj3|>":[65,0,84,27],"<|obj4|>":[0,0,157,27],"<|obj5|>":[0,0,187,27],"<|obj6|>":[28,0,140,27]} | [
224,
28
] | 1,603 | |
1425 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the given figure, triangle ABC is similar to triangle DEF, with point O as the center of similarity. If the ratio of AB to DE is represented by the variab... | {"<|obj1|>":[89,70,188,167],"<|obj2|>":[106,0,195,167],"<|obj3|>":[0,0,195,160],"<|obj4|>":[16,39,49,120],"<|obj5|>":[49,31,195,167]} | [
196,
168
] | 3,059 | |
1197 | [
{
"from": "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 DC in rectangle ABCD, where the diagonals AC and BD intersect at point O and angle AOB measures 60 degrees, with BD measuring 8?\nChoic... | {"<|obj1|>":[0,4,111,83],"<|obj2|>":[23,4,98,66],"<|obj3|>":[0,4,98,66],"<|obj4|>":[46,0,103,83],"<|obj5|>":[23,0,94,83],"<|obj6|>":[84,56,103,83],"<|obj7|>":[23,0,108,83],"<|obj8|>":[4,0,94,83],"<|obj9|>":[0,0,98,56],"<|obj10|>":[23,0,111,83]} | [
112,
84
] | 3,861 | |
1712 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Given that the diagonals of parallelogram ABCD intersect at point O in the figure, and the sum of their lengths is 36.0, what is the length of AB when the pe... | {"<|obj1|>":[0,0,167,111],"<|obj2|>":[70,42,98,77],"<|obj3|>":[49,7,161,105],"<|obj4|>":[0,7,167,105],"<|obj5|>":[46,0,164,111],"<|obj6|>":[28,77,133,111]} | [
168,
112
] | 1,374 | |
1626 | [
{
"from": "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 has diameter AB, and point C lies on the circle. If angle BAC measures 70.0 degrees, what is the measure of angle OCB?\nChoices... | {"<|obj1|>":[9,0,103,108],"<|obj2|>":[79,46,108,66],"<|obj3|>":[23,0,47,33],"<|obj4|>":[9,0,111,111],"<|obj5|>":[46,46,66,89],"<|obj6|>":[4,4,103,111],"<|obj7|>":[32,14,103,66],"<|obj8|>":[51,46,103,66]} | [
112,
112
] | 2,384 | |
1393 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In triangle ABC, given that angle ACB is 90 degrees, points H, E, and F are the midpoints of sides AB, BC, and CA respectively. If EF + CH = 8, then what is ... | {"<|obj1|>":[0,5,111,65],"<|obj2|>":[0,11,111,139],"<|obj3|>":[41,40,83,88],"<|obj4|>":[29,122,65,139],"<|obj5|>":[0,0,111,139],"<|obj6|>":[17,0,111,139],"<|obj7|>":[41,46,95,135]} | [
112,
140
] | 4,224 | |
1566 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: A mathematics interest group in a certain school uses benchmark BE to measure the height of an object. It is known that benchmark BE is 6m high, and it is me... | {"<|obj1|>":[4,28,38,83],"<|obj2|>":[70,0,111,83],"<|obj3|>":[4,42,19,75],"<|obj4|>":[14,70,33,83],"<|obj5|>":[84,70,94,83]} | [
112,
84
] | 2,197 | |
394 | [
{
"from": "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 provided figure, which displays triangle ABC as a right triangle with angle ACB equaling 90 degrees. Moreover, the median CD is depicted. In ord... | {"<|obj1|>":[0,0,167,111],"<|obj2|>":[0,0,147,77],"<|obj3|>":[63,0,133,63],"<|obj4|>":[0,0,151,111],"<|obj5|>":[133,77,161,111],"<|obj6|>":[91,42,161,111],"<|obj7|>":[91,56,119,91],"<|obj8|>":[91,56,161,111],"<|obj9|>":[91,42,119,91]} | [
168,
112
] | 2,260 | |
1044 | [
{
"from": "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, let's denote the radius of circle O as variable r (r = 5.0), the length of AB as variable d (d = 8.0), and the distance the line L is trans... | {"<|obj1|>":[5,0,117,65],"<|obj2|>":[5,76,30,106],"<|obj3|>":[87,82,105,106],"<|obj4|>":[0,0,139,111],"<|obj5|>":[116,23,135,48],"<|obj6|>":[35,23,70,111]} | [
140,
112
] | 3,462 | |
1963 | [
{
"from": "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 AOB in circle O if points A, B, and C are all on the circle and angle ACB measures 22.0 degrees?\nChoices:\nA: 11°\nB: 22°\nC: 4... | {"<|obj1|>":[0,0,67,67],"<|obj2|>":[14,88,80,111],"<|obj3|>":[65,84,84,108],"<|obj4|>":[88,9,111,33],"<|obj5|>":[9,4,108,108],"<|obj6|>":[0,0,111,111],"<|obj7|>":[37,32,80,111],"<|obj8|>":[37,46,80,108],"<|obj9|>":[9,0,111,111]} | [
112,
112
] | 1,718 | |
1402 | [
{
"from": "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, AD is parallel to BE and CF, and lines a, b, and these three parallel lines intersect at points A, B, C and points D, E, F respectively.... | {"<|obj1|>":[70,0,119,105],"<|obj2|>":[42,14,140,133],"<|obj3|>":[7,91,167,139],"<|obj4|>":[28,0,119,139],"<|obj5|>":[70,0,133,35],"<|obj6|>":[42,14,91,105],"<|obj7|>":[0,91,42,139],"<|obj8|>":[112,14,133,63],"<|obj9|>":[126,84,147,112]} | [
168,
140
] | 2,136 | |
1240 | [
{
"from": "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, line a is parallel to line b. The right angle vertex C of the right triangle ABC is on line b. If angle 1 is represented by the variable... | {"<|obj1|>":[147,39,195,56],"<|obj2|>":[0,71,188,104],"<|obj3|>":[0,0,195,167],"<|obj4|>":[57,54,156,153],"<|obj5|>":[8,0,74,136]} | [
196,
168
] | 2,261 | |
1904 | [
{
"from": "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 illustration, PA and PB are tangents to circle O at points A and B, respectively. Given that angle C equals 65.0 degrees, what is the measure... | {"<|obj1|>":[0,5,101,107],"<|obj2|>":[126,42,161,77],"<|obj3|>":[126,42,161,77],"<|obj4|>":[7,7,49,111],"<|obj5|>":[7,28,91,111],"<|obj6|>":[42,0,70,35],"<|obj7|>":[0,35,56,111],"<|obj8|>":[21,7,167,111],"<|obj9|>":[14,14,98,98],"<|obj10|>":[21,0,77,70],"<|obj11|>":[84,14,167,98],"<|obj12|>":[7,0,91,105],"<|obj13|>":[1... | [
168,
112
] | 3,488 | |
7220 | [
{
"from": "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 order to beautify the campus, the school has built a fan-shaped flower bed on a corner of the open space. The central angle of th... | {"<|obj1|>":[0,0,139,83],"<|obj2|>":[11,0,111,60],"<|obj3|>":[5,11,123,83]} | [
140,
84
] | 423 | |
1975 | [
{
"from": "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 lie on the extensions of sides BA and CA, respectively, such that DE is parallel to BC. If EC = 5.0 and EA = 2.0, and the are... | {"<|obj1|>":[0,0,139,139],"<|obj2|>":[75,0,139,76],"<|obj3|>":[0,0,139,139]} | [
140,
140
] | 2,548 | |
1439 | [
{
"from": "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. Point C is a point on circle O. Connecting AC and BC, the degree of angle C is ().\nChoices:\nA: 60°\... | {"<|obj1|>":[0,0,139,139],"<|obj2|>":[11,0,123,117],"<|obj3|>":[5,23,139,139]} | [
140,
140
] | 1,823 | |
280 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In triangle ABC, DE is parallel to BC, and it intersects the edges AB and AC at points D and E respectively. If AD/AB = 1/3 and AE = 0.5, what is the length ... | {"<|obj1|>":[0,0,83,111],"<|obj2|>":[28,28,80,42],"<|obj3|>":[4,70,80,108],"<|obj4|>":[4,0,83,108],"<|obj5|>":[60,28,75,42]} | [
84,
112
] | 1,199 | |
537 | [
{
"from": "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, if angle 1 is known to be 50°, what value does angle 2 need to have in order for lines a and b to be parallel?\nChoices:\nA: 40°\nB: 130°\... | {"<|obj1|>":[7,0,154,139],"<|obj2|>":[84,7,167,91],"<|obj3|>":[0,105,154,139],"<|obj4|>":[49,0,126,98]} | [
168,
140
] | 2,884 | |
575 | [
{
"from": "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, four parallel straight lines l₁, l₂, l₃, l₄ are intercepted by straight lines l₅, l₆. If AB:BC:CD=2.0:4.0:6.0 and FG=6.0, then what is t... | {"<|obj1|>":[99,23,139,59],"<|obj2|>":[0,0,139,139],"<|obj3|>":[11,0,88,139],"<|obj4|>":[5,46,35,59],"<|obj5|>":[0,64,24,117],"<|obj6|>":[0,93,100,123],"<|obj7|>":[58,5,117,35],"<|obj8|>":[52,40,76,65],"<|obj9|>":[81,64,105,129],"<|obj10|>":[87,93,105,123],"<|obj11|>":[58,17,129,88],"<|obj12|>":[52,40,123,129],"<|obj13... | [
140,
140
] | 4,283 | |
1490 | [
{
"from": "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 PA represents the tangent to circle O with tangent point A, and if the length of PO is 2.0 units and the measurement of angle APO is... | {"<|obj1|>":[0,0,147,91],"<|obj2|>":[21,21,167,111],"<|obj3|>":[119,0,161,111],"<|obj4|>":[70,0,154,84],"<|obj5|>":[70,0,154,84],"<|obj6|>":[112,7,167,111],"<|obj7|>":[63,14,147,98],"<|obj8|>":[70,14,154,98]} | [
168,
112
] | 2,621 | |
861 | [
{
"from": "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. Given that the radius of the drainage pipe OB = 10.0 and the water surface width AB = 16.0, the distan... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[0,0,111,111],"<|obj3|>":[32,23,89,80],"<|obj4|>":[4,79,103,111],"<|obj5|>":[32,42,66,70],"<|obj6|>":[28,9,89,89]} | [
112,
112
] | 1,956 | |
1500 | [
{
"from": "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 below, the length of the escalator in a supermarket is 13.0, and the maximum height reached by the escalator is 5.0. Assuming that the... | {"<|obj1|>":[0,35,88,78]} | [
140,
84
] | 1,168 | |
1320 | [
{
"from": "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 in the figure showing the arrangement of a right angle triangle board, and angle 1 is measured at 145°, what will be the degr... | {"<|obj1|>":[67,5,167,107],"<|obj2|>":[0,0,167,139],"<|obj3|>":[0,0,167,139],"<|obj4|>":[35,98,147,133],"<|obj5|>":[35,63,126,119]} | [
168,
140
] | 3,344 | |
445 | [
{
"from": "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, with AB as the diameter of circle O and angle D measuring 30.0, what is the degree measure of angle AOC? \nChoices:\nA: 155°\nB: 145°... | {"<|obj1|>":[0,4,103,111],"<|obj2|>":[18,42,111,103],"<|obj3|>":[23,79,47,111],"<|obj4|>":[0,0,111,111],"<|obj5|>":[14,14,89,108]} | [
112,
112
] | 3,066 | |
845 | [
{
"from": "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 ACB measuring 90.0 degrees, CD is the median on the side of AB. If BC measures 4.0 units and CD measures 3.0 units, what is... | {"<|obj1|>":[0,35,167,105],"<|obj2|>":[21,0,167,111],"<|obj3|>":[140,0,167,105],"<|obj4|>":[14,0,167,105],"<|obj5|>":[147,70,167,105]} | [
168,
112
] | 1,988 | |
1929 | [
{
"from": "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 the length of the generatrix of the cone as variable 'x'. Given that the area of the sector of the unfolded cone's late... | {"<|obj1|>":[0,0,167,83],"<|obj2|>":[63,7,167,83],"<|obj3|>":[7,49,28,83]} | [
168,
84
] | 2,890 | |
485 | [
{
"from": "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 circle O is the circumcircle of triangle ABC and angle OCB measures 40°, what is the degree measure of angle A in the triangle?\nChoices:\nA: 40°\nB: 80°\... | {"<|obj1|>":[0,0,55,83],"<|obj2|>":[3,0,55,83],"<|obj3|>":[7,7,53,77],"<|obj4|>":[7,14,53,74],"<|obj5|>":[7,14,49,70],"<|obj6|>":[7,7,53,70],"<|obj7|>":[3,0,53,83],"<|obj8|>":[31,7,42,18]} | [
56,
84
] | 1,931 | |
939 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In triangle ABC, given that angle ADE is equal to angle B, DE is 32 units long, BC is 40 units long, BD is 6 units long, what is the length of AB?\nChoices:\... | {"<|obj1|>":[0,0,167,111],"<|obj2|>":[35,70,147,91],"<|obj3|>":[147,91,161,111],"<|obj4|>":[0,0,167,111],"<|obj5|>":[42,0,140,70],"<|obj6|>":[42,14,91,63],"<|obj7|>":[42,0,126,84],"<|obj8|>":[7,0,133,70],"<|obj9|>":[40,5,142,107],"<|obj10|>":[126,49,147,77],"<|obj11|>":[126,49,147,70]} | [
168,
112
] | 2,739 | |
16449 | [
{
"from": "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, triangle ABC and triangle DEF are similar with point O as the center of similarity. If OC:OF = 0.333333, then the ratio of the perim... | {"<|obj1|>":[9,46,122,159],"<|obj2|>":[67,5,223,163],"<|obj3|>":[0,102,159,159]} | [
224,
168
] | 3,101 | |
1145 | [
{
"from": "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 square ABCD, let's denote the length of side EB as variable u and the length of side EC as variable v, where u = 1 and v = 3. What is the are... | {"<|obj1|>":[5,35,48,105],"<|obj2|>":[29,105,111,139],"<|obj3|>":[16,56,101,139],"<|obj4|>":[26,40,97,111],"<|obj5|>":[41,52,111,123]} | [
112,
140
] | 1,749 | |
1733 | [
{
"from": "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 side lengths AB = 8, BC = 6, and CA = 4 in triangle ABC, with DE as the median line, what is the length of DE?\nChoices:\nA: 4\nB: 3\nC: 2\nD: 1.\n... | {"<|obj1|>":[0,0,139,83],"<|obj2|>":[122,59,135,83],"<|obj3|>":[122,29,139,83],"<|obj4|>":[29,0,70,36],"<|obj5|>":[33,0,118,83]} | [
140,
84
] | 2,609 | |
886 | [
{
"from": "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, line a intersects with line b, and line c intersects with both line a and line b. Line b is perpendicular to line c, and point A is t... | {"<|obj1|>":[110,76,129,89],"<|obj2|>":[105,5,123,30],"<|obj3|>":[5,17,111,111],"<|obj4|>":[0,0,139,111],"<|obj5|>":[5,0,117,111]} | [
140,
112
] | 3,137 | |
1927 | [
{
"from": "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 circle O has AB as its diameter and C, D as its points, and angle AOC measures 80.0 degrees, what is the degree measure of angle D?\nChoices:\nA: 80°\nB: ... | {"<|obj1|>":[46,9,103,66],"<|obj2|>":[42,23,103,111],"<|obj3|>":[0,18,14,108],"<|obj4|>":[88,46,103,66],"<|obj5|>":[23,0,98,47]} | [
112,
112
] | 2,011 | |
73 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If in the figure, point O is positioned inside triangle ABC, angle A measures 60°, and BO and CO act as the angle bisectors for angle ABC and angle ACB respe... | {"<|obj1|>":[17,11,129,78],"<|obj2|>":[17,0,129,78],"<|obj3|>":[58,35,88,60],"<|obj4|>":[11,29,76,78],"<|obj5|>":[23,29,129,83],"<|obj6|>":[11,0,135,83],"<|obj7|>":[11,0,129,83]} | [
140,
84
] | 2,146 | |
208 | [
{
"from": "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 AB is the diameter of circle O. If angle D is 40.0 degrees, what is the measure of angle CAB?\nChoices:\nA: 20°\nB: 40°... | {"<|obj1|>":[0,0,139,139],"<|obj2|>":[11,52,82,129],"<|obj3|>":[110,58,135,88],"<|obj4|>":[0,52,30,76],"<|obj5|>":[58,0,111,35],"<|obj6|>":[35,110,82,139],"<|obj7|>":[29,0,135,139],"<|obj8|>":[29,0,135,123],"<|obj9|>":[11,5,129,111],"<|obj10|>":[52,11,105,30],"<|obj11|>":[29,0,123,111]} | [
140,
140
] | 3,128 | |
601 | [
{
"from": "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 represents the diameter of circle O, and angle ABC is measured as 30.0 degrees. Determine the degree measure of angle BAC.\nChoices:\... | {"<|obj1|>":[11,5,123,106],"<|obj2|>":[11,29,139,111],"<|obj3|>":[40,82,59,106],"<|obj4|>":[5,11,139,111]} | [
140,
112
] | 1,245 | |
435 | [
{
"from": "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, parallelogram ABCD is depicted. The intersection of diagonals AC and BD is labeled as point O. Additionally, the midpoint of side AD ... | {"<|obj1|>":[8,16,156,83],"<|obj2|>":[78,0,195,83],"<|obj3|>":[8,0,195,83],"<|obj4|>":[0,0,98,83],"<|obj5|>":[16,0,115,83],"<|obj6|>":[8,50,123,83],"<|obj7|>":[24,16,172,83]} | [
196,
84
] | 3,150 | |
1632 | [
{
"from": "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, if arc AB is equal in measure to arc AC and angle AOB measures 50.0 degrees, what is the degree measure of angle ADC? Represent the me... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[28,9,103,42],"<|obj3|>":[56,9,111,66],"<|obj4|>":[14,0,111,111],"<|obj5|>":[4,0,108,108]} | [
112,
112
] | 2,857 | |
949 | [
{
"from": "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 circle O and its tangents PA and PB at points A and B respectively, if angle ACB measures 56 degrees, what is the degree measure of ... | {"<|obj1|>":[0,0,67,67],"<|obj2|>":[23,0,80,56],"<|obj3|>":[18,28,61,80],"<|obj4|>":[9,0,111,80],"<|obj5|>":[9,4,103,70]} | [
112,
84
] | 2,755 |