id stringlengths 29 36 | conversations listlengths 1 48 | images listlengths 1 1 | source_dataset stringclasses 2
values |
|---|---|---|---|
vision_r1_mulberry_sft_full-194081 | [
{
"from": "user",
"value": "<image>In the figure provided, where AB serves as the diameter of circle O and both C and D are points on the circle, and with OD being perpendicular to AC, what is the measurement of angle ACD if angle COB is 20°?\nChoices:\nA: 10°\nB: 30°\nC: 40°\nD: 45°"
},
{
"from": "... | [
"mulberry_images/geoqa_plus/10140.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194082 | [
{
"from": "user",
"value": "<image>The tangram is an ancient Chinese puzzle game, which has a history of over 2,500 years. In the tangram shown in the diagram, if the perimeter of parallelogram BEFG is 10, then the perimeter of triangle BCD is ().\nChoices:\nA: 10\nB: 15\nC: 20\nD: 25"
},
{
"from": ... | [
"mulberry_images/geoqa_plus/12879.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194083 | [
{
"from": "user",
"value": "<image>In the given figure, let's denote the degree of angle D as variable x (x = 50.0). If CD is the diameter of O and DE is a chord parallel to OA, what is the degree of angle A in terms of x?\nChoices:\nA: 50°\nB: 40°\nC: 30°\nD: 25°"
},
{
"from": "assistant",
"val... | [
"mulberry_images/geoqa_plus/8559.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194084 | [
{
"from": "user",
"value": "<image>In the figure provided, point C lies on the semicircle circle O with the diameter AB. The angle bisectors of angle ABC and angle CAB are BE and AD respectively. Given that AB = 6.0, determine the length of DE.\nChoices:\nA: 3\nB: 3√{2}\nC: 3√{3}\nD: 5"
},
{
"from":... | [
"mulberry_images/geoqa_plus/7514.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194085 | [
{
"from": "user",
"value": "<image>The provided diagram shows points A, B, and C on circle O. If angle ACB equals 38 degrees, then what is the measure of angle AOB?\nChoices:\nA: 52°\nB: 68°\nC: 76°\nD: 86°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. So there's a circle with ce... | [
"mulberry_images/geoqa_plus/10220.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194086 | [
{
"from": "user",
"value": "<image>If in the heptagon ABCDEFG, the lines EF and BA are extended and intersect at point P, and the total of the exterior angles of angles ABC, BCD, CDE, and DEF is 230°, what is the degree of angle P?\nChoices:\nA: 40°\nB: 45°\nC: 50°\nD: 55°"
},
{
"from": "assistant",... | [
"mulberry_images/geoqa_plus/10073.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194087 | [
{
"from": "user",
"value": "<image>In the given figure, AB is parallel to CD, and EF bisects angle AEG. If angle EGF is represented by the variable 'x' (x = 40.0), what is the measure of angle EFG? Express the angle as 'y' in terms of 'x'.\nChoices:\nA: 35°\nB: 40°\nC: 70°\nD: 140°"
},
{
"from": "as... | [
"mulberry_images/geoqa_plus/373.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194088 | [
{
"from": "user",
"value": "<image>If in the figure, circle O has perpendicular chords AB and CD, and angle ADC equals 35°, what is the degree measure of angle BAD?\nChoices:\nA: 55°\nB: 70°\nC: 110°\nD: 130°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. There's a circle with cen... | [
"mulberry_images/geoqa_plus/10277.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194089 | [
{
"from": "user",
"value": "<image>When considering the figure where AC serves as the diameter of circle O, and triangle ABC is inscribed in the circle with AB equal to BC, and angle DBC equals 32 degrees, what will be the measurement of angle BCD?\nChoices:\nA: 113°\nB: 103°\nC: 45°\nD: 58°"
},
{
"... | [
"mulberry_images/geoqa_plus/10417.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194090 | [
{
"from": "user",
"value": "<image>In the diagram provided, line a is depicted as parallel to line b. Within triangle ABC, point C is situated on line b. If angle 1 is measured at 40 degrees and angle 2 is measured at 20 degrees, what is the degree measurement of angle B?\nChoices:\nA: 30°\nB: 40°\nC: 45°\n... | [
"mulberry_images/geoqa_plus/10493.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194091 | [
{
"from": "user",
"value": "<image>If angle DCE of quadrilateral ABCD, circumscribed around circle O, measures 115° as an exterior angle, what is the measure of the other exterior angle, angle DAF?\nChoices:\nA: 75°\nB: 65°\nC: 55°\nD: 45°"
},
{
"from": "assistant",
"value": "<think> Okay, let's... | [
"mulberry_images/geoqa_plus/10088.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194092 | [
{
"from": "user",
"value": "<image>In the provided figure, there is a set of triangular plates placed on a desktop where the right-angle vertices coincide. If angle AOC measures 130.0 degrees, what is the value of angle BOD?\nChoices:\nA: 30°\nB: 45°\nC: 50°\nD: 60°"
},
{
"from": "assistant",
"v... | [
"mulberry_images/geoqa_plus/1005.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194093 | [
{
"from": "user",
"value": "<image>Let's consider the figure with two congruent triangles. What can you say about the measure of angle 1, with respect to the side lengths represented by the given letters?\nChoices:\nA: 54°\nB: 56°\nC: 60°\nD: 66°"
},
{
"from": "assistant",
"value": "<think> Okay... | [
"mulberry_images/geoqa_plus/10638.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194094 | [
{
"from": "user",
"value": "<image>In triangle ABC, with angle A measuring 80 degrees and point O being the incenter, what is the size of angle BOC?\nChoices:\nA: 100°\nB: 160°\nC: 80°\nD: 130°"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find the measure of angle BOC in trian... | [
"mulberry_images/geoqa_plus/10415.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194095 | [
{
"from": "user",
"value": "<image>Given that in the figure, AB is the diameter of circle O and BC is its tangent, and angle BAC equals 35°, what is the degree of angle ACB?\nChoices:\nA: 35°\nB: 45°\nC: 55°\nD: 65°"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to work through th... | [
"mulberry_images/geoqa_plus/10195.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194096 | [
{
"from": "user",
"value": "<image>If angle ABC in rhombus ABCD measures 50° and the diagonals AC and BD intersect at point O, then what is the measure of angle AOE where E denotes the midpoint of CD?\nChoices:\nA: 110°\nB: 112°\nC: 115°\nD: 120°"
},
{
"from": "assistant",
"value": "<think> Okay... | [
"mulberry_images/geoqa_plus/10690.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194097 | [
{
"from": "user",
"value": "<image>As shown in the figure, in triangle ABC with CD as the median on the hypotenuse AB, if angle A is 35 degrees, what is the angle BCD's degree measurement?\nChoices:\nA: 35°\nB: 45°\nC: 60°\nD: 55°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. So ... | [
"mulberry_images/geoqa_plus/10700.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194098 | [
{
"from": "user",
"value": "<image>Considering the given figure, where a grid is depicted with a side length of 1 for each small square, can you determine the value of cosangle ABC?\nChoices:\nA: 0.75\nB: \\frac{4}{3}\nC: \\frac{3}{5}\nD: 0.8"
},
{
"from": "assistant",
"value": "<think> Okay, le... | [
"mulberry_images/geoqa_plus/10612.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194099 | [
{
"from": "user",
"value": "<image>As depicted in the figure, point O is the point of intersection for lines AB and CD, where EO is perpendicular to AB at point O. Given that angle EOD measures 50 degrees, what is the total measure of angle AOC and angle BOD?\nChoices:\nA: 100°\nB: 80°\nC: 90°\nD: 70°"
},... | [
"mulberry_images/geoqa_plus/10765.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194100 | [
{
"from": "user",
"value": "<image>Given that A, B, and C are points on circle O and angle AOB equals 60 degrees, what is the value of angle ACB?\nChoices:\nA: 25°\nB: 30°\nC: 45°\nD: 60°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem shows that points A, B, and C are ... | [
"mulberry_images/geoqa_plus/10292.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194101 | [
{
"from": "user",
"value": "<image>If A, B, and C are positioned on circle O as depicted in the figure, and the angle AOB measures 82 degrees, what is the measurement of angle C?\nChoices:\nA: 82°\nB: 38°\nC: 24°\nD: 41°"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to figure thi... | [
"mulberry_images/geoqa_plus/10113.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194102 | [
{
"from": "user",
"value": "<image>When points A, B, and C are all positioned on circle O and angle ACB is 70 degrees, what is the degree measure of angle OAB?\nChoices:\nA: 10°\nB: 20°\nC: 25°\nD: 30°"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to work through this problem ste... | [
"mulberry_images/geoqa_plus/10191.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194103 | [
{
"from": "user",
"value": "<image>What is the measure of angle CBD in triangle ABC if line BD is perpendicular to and bisects AC, and angle A measures 20 degrees?\nChoices:\nA: 20°\nB: 30°\nC: 60°\nD: 70°"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find the measure of angle ... | [
"mulberry_images/geoqa_plus/10003.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194104 | [
{
"from": "user",
"value": "<image>In quadrilateral ABCD, which is inscribed in circle O, if angle B is known to be 72°, what is the measure of angle D?\nChoices:\nA: 18°\nB: 72°\nC: 100°\nD: 108°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem shows that quadrilateral ... | [
"mulberry_images/geoqa_plus/10905.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194105 | [
{
"from": "user",
"value": "<image>Quadrilateral ABCD is shown in the diagram, with angle A measuring 60°. If BE bisects angle ABC and intersects DC at point E, what is the measure of angle DEB?\nChoices:\nA: 130°\nB: 125°\nC: 120°\nD: 115°"
},
{
"from": "assistant",
"value": "<think> Okay, let'... | [
"mulberry_images/geoqa_plus/10032.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194106 | [
{
"from": "user",
"value": "<image>Given that PA and PB are tangents to circle O at points A and B, and C is a point on arc AB, what value does angle ACB hold when angle P is 40 degrees?\nChoices:\nA: 50°\nB: 60°\nC: 70°\nD: 80°"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to fin... | [
"mulberry_images/geoqa_plus/10141.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194107 | [
{
"from": "user",
"value": "<image>In the figure, A, B, and C are positioned on circle O, with the angle O measuring 70 degrees. What is the measure of angle C?\nChoices:\nA: 40°\nB: 35°\nC: 30°\nD: 25°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. There's a circle with center O,... | [
"mulberry_images/geoqa_plus/10177.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194108 | [
{
"from": "user",
"value": "<image>If in the diagram, AB is the diameter of circle O, and points C and D are positioned on the circle, and angle D is given as 120°, then what is the value of angle CAB?\nChoices:\nA: 30°\nB: 40°\nC: 50°\nD: 60°"
},
{
"from": "assistant",
"value": "<think> Okay, l... | [
"mulberry_images/geoqa_plus/10090.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194109 | [
{
"from": "user",
"value": "<image>If angle BOC measures 130 degrees and points A, B, and C are all on circle O, what is the measure of angle A in the diagram?\nChoices:\nA: 65°\nB: 60°\nC: 55°\nD: 50°"
},
{
"from": "assistant",
"value": "<think> Okay, so the problem shows that there's a circle ... | [
"mulberry_images/geoqa_plus/10326.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194110 | [
{
"from": "user",
"value": "<image>Within parallelogram ABCD, where angle B is 60 degrees, the angle bisector of angle BAD intersects BC at point E. If angle AED measures 80 degrees, what is the degree measure of angle EAC? \nChoices:\nA: 10°\nB: 15°\nC: 20°\nD: 25°"
},
{
"from": "assistant",
"v... | [
"mulberry_images/geoqa_plus/10022.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194111 | [
{
"from": "user",
"value": "<image>In the provided figure, circle O contains points A, B, C, and D on its circumference. If angle B measures 110°, what is the size of angle D?\nChoices:\nA: 110°\nB: 70°\nC: 120°\nD: 90°"
},
{
"from": "assistant",
"value": "<think> Okay, so I have this problem ab... | [
"mulberry_images/geoqa_plus/10916.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194112 | [
{
"from": "user",
"value": "<image>Given that in right triangle ABC, angle C is 90 degrees, AB measures 10 units, and BC measures 8 units, what is the tangent of angle B?\nChoices:\nA: 0.6\nB: 0.8\nC: 0.75\nD: \\frac{4}{3}"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find the ... | [
"mulberry_images/geoqa_plus/10606.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194113 | [
{
"from": "user",
"value": "<image>With quadrilateral ABCD being inscribed in circle O, if angle B measures 72°, what is the degree measure of angle D?\nChoices:\nA: 18°\nB: 72°\nC: 100°\nD: 108°"
},
{
"from": "assistant",
"value": "<think> Okay, so there's this cyclic quadrilateral ABCD inscrib... | [
"mulberry_images/geoqa_plus/10905.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194114 | [
{
"from": "user",
"value": "<image>In the diagram provided, line a is parallel to line b. Angle 1 is known to be 24° and angle 2 measures 60°. Find the measure of angle A.\nChoices:\nA: 36°\nB: 38°\nC: 40°\nD: 46°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem shows li... | [
"mulberry_images/geoqa_plus/10816.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194115 | [
{
"from": "user",
"value": "<image>As displayed in the diagram, the line AB is tangent to circle O at point A, and circle O is intersected by line OB at point C. Point D is situated on circle O. If angle ADC equals 30 degrees, what is the degree measure of angle ABO when connecting AD, CD, and OA?\nChoices:... | [
"mulberry_images/geoqa_plus/10154.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194116 | [
{
"from": "user",
"value": "<image>In the figure, triangle ABC is depicted with CD as the median on the hypotenuse AB. If angle A measures 35 degrees, what is the degree measurement of angle BCD?\nChoices:\nA: 35°\nB: 45°\nC: 60°\nD: 55°"
},
{
"from": "assistant",
"value": "<think> Okay, let's t... | [
"mulberry_images/geoqa_plus/10700.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194117 | [
{
"from": "user",
"value": "<image>In the diagram provided, what is the total of the angle measurements for A, B, C, D, E, and F?\nChoices:\nA: 90°\nB: 130°\nC: 180°\nD: 360°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem is about two triangles: a larger triangle ABC a... | [
"mulberry_images/geoqa_plus/10067.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194118 | [
{
"from": "user",
"value": "<image>The diagram illustrates line a being parallel to line b, and the right-angled vertex C of right triangle ABC is positioned on line b. What is the degree measure of angle 2 if angle 1 is 20°?\nChoices:\nA: 40\nB: 50\nC: 60\nD: 70"
},
{
"from": "assistant",
"valu... | [
"mulberry_images/geoqa_plus/10451.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194119 | [
{
"from": "user",
"value": "<image>Given that BD is the angle bisector of triangle ABC, with angle DBA at 30 degrees and angle ADB at 80 degrees, what is the degree measurement for angle C in the figure?\nChoices:\nA: 30°\nB: 40°\nC: 50°\nD: 60°"
},
{
"from": "assistant",
"value": "<think> Okay,... | [
"mulberry_images/geoqa_plus/10066.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194120 | [
{
"from": "user",
"value": "<image>In the provided figure, if the measure of angle AOB is 84 degrees and points A, B, and C are positioned on circle O, what is the degree measure of angle ACB?\nChoices:\nA: 40°\nB: 84°\nC: 42°\nD: 30°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see.... | [
"mulberry_images/geoqa_plus/10309.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194121 | [
{
"from": "user",
"value": "<image>Assuming that points A, B, and C are positioned on circle O and angle ACB is equal to 43 degrees, what is the measure of angle AOB?\nChoices:\nA: 83°\nB: 84°\nC: 86°\nD: 87°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. So there's a circle with ... | [
"mulberry_images/geoqa_plus/10186.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194122 | [
{
"from": "user",
"value": "<image>Within the illustration, in circle O, point D acts as the midpoint of segment AB, while CD is the diameter of the circle. Additionally, AE is parallel to BC and intersects circle O at point E. If angle ECD equals 50 degrees, what is the measure of angle DCB?\nChoices:\nA: ... | [
"mulberry_images/geoqa_plus/10160.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194123 | [
{
"from": "user",
"value": "<image>In the given triangle ABC, point D lies on the side AB. If the measure of angle ACD is equal to the measure of angle B, and the lengths of AD and AC are 1.0 and 2.0 respectively, and the area of triangle ACD is 1.0, what is the area of triangle ABC?\nChoices:\nA: 1\nB: 2\n... | [
"mulberry_images/geoqa_plus/7260.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194124 | [
{
"from": "user",
"value": "<image>What angle measure does angle 1 have in the given diagram, which depicts two congruent triangles and uses letters to represent the lengths of the sides?\nChoices:\nA: 62°\nB: 72°\nC: 76°\nD: 66°"
},
{
"from": "assistant",
"value": "<think> Okay, so there's this... | [
"mulberry_images/geoqa_plus/10636.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194125 | [
{
"from": "user",
"value": "<image>Point C and point D are both located on circle O, where AB is the diameter. If angle ABD is 63° and angle DCO is 24°, then what is the value of angle BDC?\nChoices:\nA: 15°\nB: 24°\nC: 39°\nD: 63°"
},
{
"from": "assistant",
"value": "<think> Alright, let's tack... | [
"mulberry_images/geoqa_plus/10182.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194126 | [
{
"from": "user",
"value": "<image>What is the measure of angle BOC in triangle ABC, where angle A is 80 degrees and point O is the incenter of the triangle?\nChoices:\nA: 100°\nB: 160°\nC: 80°\nD: 130°"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to figure this out. So, the pro... | [
"mulberry_images/geoqa_plus/10415.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194127 | [
{
"from": "user",
"value": "<image>What is the angle measurement of CBD if points A, B, and C are all on circle O, and point D is positioned on the extension line AB, with angle AOC measuring 110 degrees?\nChoices:\nA: 50°\nB: 52.5°\nC: 55°\nD: 62.5°"
},
{
"from": "assistant",
"value": "<think> ... | [
"mulberry_images/geoqa_plus/10280.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194128 | [
{
"from": "user",
"value": "<image>In the figure, circle O is displayed with AB as its diameter and chords AC and BC. Given that angle A is 20°, what is the measure of angle B?\nChoices:\nA: 70°\nB: 90°\nC: 40°\nD: 60°"
},
{
"from": "assistant",
"value": "<think> Okay, so there's this circle wit... | [
"mulberry_images/geoqa_plus/10219.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194129 | [
{
"from": "user",
"value": "<image>When AB serves as a tangent to circle O at point A, and OB intersects circle O at point C in the provided figure, with point D also on the circle and connections between AD, CD, and OA, what is the degree measure of angle ABO given that angle ADC equals 25°?\nChoices:\nA: ... | [
"mulberry_images/geoqa_plus/10179.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194130 | [
{
"from": "user",
"value": "<image>The diagram shows AB as the tangent to circle O at point A, and line OB intersects circle O at point C, with point D on circle O. When connecting AD, CD, and OA, if angle ADC equals 30 degrees, what is the degree measure of angle ABO?\nChoices:\nA: 25°\nB: 20°\nC: 30°\nD: ... | [
"mulberry_images/geoqa_plus/10154.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194131 | [
{
"from": "user",
"value": "<image>The parallelogram ABCD is given with angle B as 60 degrees. The line that bisects angle BAD intersects BC at point E, and if angle AED is 80 degrees, what is the measure of angle EAC? \nChoices:\nA: 10°\nB: 15°\nC: 20°\nD: 25°"
},
{
"from": "assistant",
"value"... | [
"mulberry_images/geoqa_plus/10022.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194132 | [
{
"from": "user",
"value": "<image>In triangle ABC, with AD being the perpendicular to BC at point D, if the lengths of BD and DC are 9 units and 5 units respectively, cosB is 0.6, and E is the midpoint of AC, what value is obtained for sinangle EDC?\nChoices:\nA: 0.2\nB: \\frac{5}{13}\nC: \\frac{12}{13}\nD... | [
"mulberry_images/geoqa_plus/10617.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194133 | [
{
"from": "user",
"value": "<image>According to the graph, AC is the diagonal of the regular pentagon ABCDE. What is the measure of angle ACD?\nChoices:\nA: 72°\nB: 36°\nC: 74°\nD: 88°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. I need to find the measure of angle ACD in a regu... | [
"mulberry_images/geoqa_plus/10604.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194134 | [
{
"from": "user",
"value": "<image>If quadrilateral ABCD is inscribed in circle O and angle BCD equals 140° in the provided diagram, what is the measure of angle BOD?\nChoices:\nA: 40°\nB: 50°\nC: 80°\nD: 100°"
},
{
"from": "assistant",
"value": "<think> Okay, so the problem is about a cyclic qu... | [
"mulberry_images/geoqa_plus/10096.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194135 | [
{
"from": "user",
"value": "<image>In the given diagram with parallel lines a and b, angles 1 and 2 are known to measure 24° and 60° respectively. What is the degree measure of angle A?\nChoices:\nA: 36°\nB: 38°\nC: 40°\nD: 46°"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to figu... | [
"mulberry_images/geoqa_plus/10816.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194136 | [
{
"from": "user",
"value": "<image>In the diagram illustrating triangle ABC inscribed in circle O with AD as the diameter, if angle C measures 63 degrees, what is the size of angle DAB?\nChoices:\nA: 27°\nB: 31.5°\nC: 37°\nD: 63°"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to f... | [
"mulberry_images/geoqa_plus/10345.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194137 | [
{
"from": "user",
"value": "<image>Considering the given diagram, with AB being parallel to CD, angle AEC measuring 50°, and CB bisecting angle DCE, what is the measurement of angle ABC?\nChoices:\nA: 25°\nB: 30°\nC: 35°\nD: 40°"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to fi... | [
"mulberry_images/geoqa_plus/10867.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194138 | [
{
"from": "user",
"value": "<image>Given that A, B, and C lie on circle O and angle O measures 70 degrees, what is the degree measure of angle C?\nChoices:\nA: 40°\nB: 35°\nC: 30°\nD: 25°"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to figure out this geometry problem. So, there... | [
"mulberry_images/geoqa_plus/10177.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194139 | [
{
"from": "user",
"value": "<image>Given that points A, B, and C are on circle O and angle BOC is 130 degrees, what is the value of angle A?\nChoices:\nA: 65°\nB: 60°\nC: 55°\nD: 50°"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find angle BAC (angle A) given that angle BOC is ... | [
"mulberry_images/geoqa_plus/10326.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194140 | [
{
"from": "user",
"value": "<image>After folding a rectangular piece of paper into the indicated shape, with angle CAB measuring 40 degrees, what is the measure of angle ACB?\nChoices:\nA: 40°\nB: 50°\nC: 60°\nD: 70°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem is ab... | [
"mulberry_images/geoqa_plus/10424.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194141 | [
{
"from": "user",
"value": "<image>Consider the case where l1 is parallel to l2, angle A is measured at 45 degrees, and angle 2 is measured at 100 degrees. What is the degree measure of angle 1?\nChoices:\nA: 50°\nB: 55°\nC: 45°\nD: 60°"
},
{
"from": "assistant",
"value": "<think> Okay, let me t... | [
"mulberry_images/geoqa_plus/10764.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194142 | [
{
"from": "user",
"value": "<image>In the given diagram, the circle O is defined with tangents PA and PB, intersecting at points A and B, while angle P measures 60.0 degrees. With a length of PA equal to 2.0, determine the diameter 'D' of the circle O.\nChoices:\nA: \\frac{2√{3}}{3}\nB: \\frac{4√{3}}{3}\nC:... | [
"mulberry_images/geoqa_plus/9883.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194143 | [
{
"from": "user",
"value": "<image>In the given circle, let's represent the angle APB as variable h, where h = 45.0 degrees. What is the degree measure of angle AOB, expressed as variable k in terms of h?\nChoices:\nA: 100°\nB: 90°\nC: 85°\nD: 45°"
},
{
"from": "assistant",
"value": "<think> Oka... | [
"mulberry_images/geoqa_plus/8649.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194144 | [
{
"from": "user",
"value": "<image>What is the sum of the perimeters of the five smaller rectangles in the figure if the edges of the rectangle ABCD are given as AB = 6.0 and BC = 8.0?\nChoices:\nA: 14\nB: 16\nC: 20\nD: 28"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to figure t... | [
"mulberry_images/geoqa_plus/1046.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194145 | [
{
"from": "user",
"value": "<image>In the given figure, let's denote the measure of angle B as variable x, where x = 40.0 degrees. If circle O is the circumscribed circle of triangle ABC and AO is connected, what is the measure of angle OAC, expressed as variable y in terms of x?\nChoices:\nA: 40°\nB: 50°\n... | [
"mulberry_images/geoqa_plus/3706.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194146 | [
{
"from": "user",
"value": "<image>In the figure provided, let's denote the height of the oil drum as variable 'n' where n = 80.0 cm. If a thin wooden stick is inserted into the barrel from the small hole on the edge of the oil drum, forming similar triangles, what is the value of the height of the oil leve... | [
"mulberry_images/geoqa_plus/2396.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194147 | [
{
"from": "user",
"value": "<image>As shown in the figure, in Rttriangle ABC, angle C = 90.0, DF perpendicular AB, the perpendicular foot is F, DG perpendicular AC, the vertical foot is G, intersect AB at point E, BC = 5.0, AC = 12.0, DE = 5.2, then DF is equal to ()\nChoices:\nA: 4.8\nB: 3.6\nC: 2\nD: 以上... | [
"mulberry_images/geoqa_plus/8017.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194148 | [
{
"from": "user",
"value": "<image>In the figure provided, with points A, B, and C on circle O, and the angle AOB measuring 72 degrees, what is the degree measure of angle ACB?\nChoices:\nA: 54°\nB: 36°\nC: 28°\nD: 18°"
},
{
"from": "assistant",
"value": "<think> Okay, so there's a circle with c... | [
"mulberry_images/geoqa_plus/10370.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194149 | [
{
"from": "user",
"value": "<image>What is the degree measure of angle ACB if points A, B, and C are situated on circle O and the angle AOB measures 72 degrees as shown in the figure?\nChoices:\nA: 54°\nB: 36°\nC: 28°\nD: 18°"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find t... | [
"mulberry_images/geoqa_plus/10370.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194150 | [
{
"from": "user",
"value": "<image>The diagram shows AB as the diameter of circle O, and CD as a chord of circle O. What is the measure of angle ACD if angle BAD equals 56°?\nChoices:\nA: 34°\nB: 46°\nC: 56°\nD: 44°"
},
{
"from": "assistant",
"value": "<think> Okay, let's tackle this geometry pr... | [
"mulberry_images/geoqa_plus/10117.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194151 | [
{
"from": "user",
"value": "<image>Refer to the given figure, where BE and CF are the heights of triangle ABC. Point M represents the midpoint of BC. Assuming EF to be 5.0 units and BC to be 8.0 units, what would be the perimeter of triangle EFM?\nChoices:\nA: 21\nB: 18\nC: 13\nD: 15"
},
{
"from": "... | [
"mulberry_images/geoqa_plus/958.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194152 | [
{
"from": "user",
"value": "<image>Given that AB is the diameter of circle O and the line PA is tangent to circle O at point A. If PO intersects circle O at point C and angle BCO measures 10 degrees, what is the measure of angle P?\nChoices:\nA: 20\nB: 70°\nC: 25°\nD: 65°"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/10395.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194153 | [
{
"from": "user",
"value": "<image>Circle O is depicted with diameter AB and tangent BC. With angle BAC equal to 35°, what is the magnitude of angle ACB?\nChoices:\nA: 35°\nB: 45°\nC: 55°\nD: 65°"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find angle ACB in this circle setup.... | [
"mulberry_images/geoqa_plus/10195.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194154 | [
{
"from": "user",
"value": "<image>In triangle ABC, where AB = AC = 13.0 and the area of the triangle is 65.0, point D is any point on BC. What is the sum of the distances from point D to the sides AB and AC, expressed as variable x?\nChoices:\nA: 5\nB: 6.5\nC: 9\nD: 10"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/5978.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194155 | [
{
"from": "user",
"value": "<image>If angle ABC is 40.0 degrees, and points A, B, and C all lie on circle O, what would be the degree of angle AOC?\nChoices:\nA: 90°\nB: 80°\nC: 70°\nD: 50°"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find the measure of angle AOC given that a... | [
"mulberry_images/geoqa_plus/1067.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194156 | [
{
"from": "user",
"value": "<image>When AB is the diameter of circle O and points C and D lie on the circle, and with angle BAC equalling 35 degrees, what is the degree measure of angle ADC?\nChoices:\nA: 45°\nB: 55°\nC: 60°\nD: 65°"
},
{
"from": "assistant",
"value": "<think> Alright, let's tac... | [
"mulberry_images/geoqa_plus/10153.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194157 | [
{
"from": "user",
"value": "<image>In the given right triangle ABC, where angle ACB is a right angle, point D and E are the midpoints of sides AB and AC, respectively. If BC is extended to point F such that CF = 0.5×BC, and EF = 5, what is the length of side AB?\nChoices:\nA: 10\nB: 12\nC: 15\nD: 18"
},
... | [
"mulberry_images/geoqa_plus/12146.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194158 | [
{
"from": "user",
"value": "<image>Quadrilateral ABCD is circumscribed around circle O, and one of its exterior angles, angle DCE, measures 115°. What is the measure of the exterior angle angle DAF?\nChoices:\nA: 75°\nB: 65°\nC: 55°\nD: 45°"
},
{
"from": "assistant",
"value": "<think> Okay, let'... | [
"mulberry_images/geoqa_plus/10088.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194159 | [
{
"from": "user",
"value": "<image>In the given diagram, calculate the sum of angle A, angle B, angle C, angle D, angle E, and angle F.\nChoices:\nA: 90°\nB: 130°\nC: 180°\nD: 360°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem is asking for the sum of angles A, B, C, ... | [
"mulberry_images/geoqa_plus/10067.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194160 | [
{
"from": "user",
"value": "<image>If angle AOB equals 72 degrees and points A, B, and C are located on circle O as depicted in the figure, what is the measure of angle ACB?\nChoices:\nA: 54°\nB: 36°\nC: 28°\nD: 18°"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find the measure... | [
"mulberry_images/geoqa_plus/10370.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194161 | [
{
"from": "user",
"value": "<image>In the grid shown in the figure, where each small square has a side length of 1, what is the cosine of angle ABC?\nChoices:\nA: 0.75\nB: \\frac{4}{3}\nC: \\frac{3}{5}\nD: 0.8"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find the cosine of ang... | [
"mulberry_images/geoqa_plus/10612.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194162 | [
{
"from": "user",
"value": "<image>In parallelogram PQRJ, LM is parallel to QR, and side PJ is subdivided by the parallel line into parts PL = 5, LJ = 7, and QM = 4. What is the length of side PJ, denoted as 'S'?\nChoices:\nA: 7.6\nB: 9.6\nC: 8.5\nD: 5.6"
},
{
"from": "assistant",
"value": "<thi... | [
"mulberry_images/geoqa_plus/12211.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194163 | [
{
"from": "user",
"value": "<image>If points A, B, and C lie on circle O and angle AOB equals 60 degrees, then what is the degree of angle ACB?\nChoices:\nA: 25°\nB: 30°\nC: 45°\nD: 60°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. There's a circle with center O, and points A, B,... | [
"mulberry_images/geoqa_plus/10292.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194164 | [
{
"from": "user",
"value": "<image>In the given figure, regular pentagon ABCDE is depicted, and points M and N are positioned on sides AB and BC, respectively. Point O is the center of the pentagon, and it is known that AM is equivalent to BN. What is the degree measure of angle MON?\nChoices:\nA: 45度\nB: 6... | [
"mulberry_images/geoqa_plus/10660.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194165 | [
{
"from": "user",
"value": "<image>If angle 1 measures 35 degrees in the given diagram containing a right-angled triangle board and a ruler positioned as shown, what is the size of angle 2?\nChoices:\nA: 55°\nB: 50°\nC: 45°\nD: 35°"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to ... | [
"mulberry_images/geoqa_plus/10784.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194166 | [
{
"from": "user",
"value": "<image>Given that the regular pentagon ABCDE is circumscribed around circle O, what is the measure of angle BAC when AC is connected?\nChoices:\nA: 45°\nB: 38°\nC: 36°\nD: 30°"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find the measure of angle BA... | [
"mulberry_images/geoqa_plus/10558.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194167 | [
{
"from": "user",
"value": "<image>In the provided diagram, let's denote the length of AB as variable h where h = 1.0 and the length of BD as variable k where k = 0.4. If angle BAD is equivalent to angle ACB, what is the length of BC, represented as variable n in terms of h and k?\nChoices:\nA: 2\nB: 2.6\nC... | [
"mulberry_images/geoqa_plus/7349.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194168 | [
{
"from": "user",
"value": "<image>The given diagram shows triangle ABC inscribed in circle O, where AD is the diameter of circle O. If angle C equals 63 degrees, what is the degree measurement of angle DAB?\nChoices:\nA: 27°\nB: 31.5°\nC: 37°\nD: 63°"
},
{
"from": "assistant",
"value": "<think>... | [
"mulberry_images/geoqa_plus/10345.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194169 | [
{
"from": "user",
"value": "<image>When considering the diagram with BD as the diameter of circle O and points A and C located on circle O, with angle A measuring 40 degrees, what is the measure of angle CBD?\nChoices:\nA: 40°\nB: 45°\nC: 50°\nD: 60°"
},
{
"from": "assistant",
"value": "<think> ... | [
"mulberry_images/geoqa_plus/10285.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194170 | [
{
"from": "user",
"value": "<image>In the provided picture, line AB is parallel to line CD and angle 2 measures 34°, while angle E forms a right angle. How many degrees does angle 1 measure?\nChoices:\nA: 124°\nB: 134°\nC: 136°\nD: 138°"
},
{
"from": "assistant",
"value": "<think> Okay, let's tr... | [
"mulberry_images/geoqa_plus/10829.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194171 | [
{
"from": "user",
"value": "<image>What is the measure of angle A if angle BOC equals 130 degrees and points A, B, and C are located on circle O as depicted in the diagram?\nChoices:\nA: 65°\nB: 60°\nC: 55°\nD: 50°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem is abou... | [
"mulberry_images/geoqa_plus/10326.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194172 | [
{
"from": "user",
"value": "<image>What is the degree of angle A in triangle ABC, if angle ACB is 90 degrees, CD is the median of the triangle, and angle DCB measures 35 degrees?\nChoices:\nA: 35°\nB: 55°\nC: 65°\nD: 70°"
},
{
"from": "assistant",
"value": "<think> Okay, let's tackle this geomet... | [
"mulberry_images/geoqa_plus/10701.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194173 | [
{
"from": "user",
"value": "<image>When positioning the right angle vertex of a triangle on one side of a ruler according to the given figure, and with angle 1 measuring 65.0 degrees, what is the degree measurement of angle 2?\nChoices:\nA: 10°\nB: 15°\nC: 20°\nD: 25°"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/106.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194174 | [
{
"from": "user",
"value": "<image>In the provided diagram, circle O is shown with its diameter AB and chord CD, where the measure of angle CAB is 20.0 degrees. Determine the degree measure of angle BOD in this particular case.\nChoices:\nA: 30°\nB: 40°\nC: 45°\nD: 50°"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/1039.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194175 | [
{
"from": "user",
"value": "<image>If in the triangle ABC diagram, the perpendicular bisectors PM and QN of line segments AB and AC are shown, and angle BAC is given as 110 degrees, then what is the measure of angle PAQ?\nChoices:\nA: 40°\nB: 50°\nC: 60°\nD: 70°"
},
{
"from": "assistant",
"value... | [
"mulberry_images/geoqa_plus/10467.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194176 | [
{
"from": "user",
"value": "<image>In a scenario involving circle O with a radius of 'R' units (R = 2.0), a tangent is drawn from a point E to intersect the extended line of the diameter AC at point B. Additionally, a point D is chosen on circle O and connected to AE, ED, and CD. If angle EDC measures 'A' d... | [
"mulberry_images/geoqa_plus/4172.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194177 | [
{
"from": "user",
"value": "<image>In the given figure of the quadrilateral ABCD with a circle inscribed, what is the degree measure of angle A if angle C is 80.0 degrees? \nChoices:\nA: 120°\nB: 100°\nC: 80°\nD: 90°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem is ab... | [
"mulberry_images/geoqa_plus/104.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194178 | [
{
"from": "user",
"value": "<image>If the illustration demonstrates points A, B, and C on circle O, and the angle AOB is 82 degrees, what is the degree of angle C?\nChoices:\nA: 82°\nB: 38°\nC: 24°\nD: 41°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem is about a circl... | [
"mulberry_images/geoqa_plus/10113.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194179 | [
{
"from": "user",
"value": "<image>In the given diagram, triangle ABC is presented, and points D and E can be found on sides AB and BC respectively. Notably, the length of AD is twice the length of BD, and BE is equivalent to CE. By assuming the area of triangle ABC to be 12, what is the difference between ... | [
"mulberry_images/geoqa_plus/11889.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194180 | [
{
"from": "user",
"value": "<image>In the context of the given figure with points A, B, and C lying on circle O and angle OAB measuring 40 degrees, what is the measurement of angle ACB?\nChoices:\nA: 100°\nB: 80°\nC: 50°\nD: 40°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The p... | [
"mulberry_images/geoqa_plus/10306.png"
] | vision_r1_mulberry_sft_full |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.