id stringlengths 29 36 | conversations listlengths 1 48 | images listlengths 1 1 | source_dataset stringclasses 2
values |
|---|---|---|---|
vision_r1_mulberry_sft_full-194281 | [
{
"from": "user",
"value": "<image>In the provided diagram, a regular pentagon with side lengths matching a square is located as illustrated. What is the degree measurement of angle 1?\nChoices:\nA: 15°\nB: 18°\nC: 20°\nD: 9°"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to figure... | [
"mulberry_images/geoqa_plus/10572.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194282 | [
{
"from": "user",
"value": "<image>When installing a ring-shaped carpet in the lobby of a hotel, the worker measures the length of chord AB of the great circle, which is tangent to the small circle, and finds it to be 20.0. What is the resulting area of the carpet?\nChoices:\nA: 10平方米\nB: 10π平方米\nC: 100平方米\... | [
"mulberry_images/geoqa_plus/1010.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194283 | [
{
"from": "user",
"value": "<image>When observing the diagram where BC is parallel to DE, and angle 1 is 110°, while angle AED is 80°, what would be the degree measure of angle A?\nChoices:\nA: 20°\nB: 25°\nC: 30°\nD: 40°"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to figure th... | [
"mulberry_images/geoqa_plus/10528.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194284 | [
{
"from": "user",
"value": "<image>Given that angle B in triangle ABC is 70 degrees and angle C is 50 degrees, and points D, E, and F are the midpoints of sides AB, BC, and CA respectively, what is the degree of angle DEF?\nChoices:\nA: 50°\nB: 60°\nC: 70°\nD: 65°"
},
{
"from": "assistant",
"val... | [
"mulberry_images/geoqa_plus/10056.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194285 | [
{
"from": "user",
"value": "<image>Given that on circle O, points A, B, and C are connected by line segments AB, AC, OB, and OC, and tangent line BD intersects the extension of line OC at point D, and angle A is 25 degrees, what is the measure of angle D in the diagram?\nChoices:\nA: 20°\nB: 30°\nC: 40°\nD:... | [
"mulberry_images/geoqa_plus/10337.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194286 | [
{
"from": "user",
"value": "<image>It is given that quadrilateral ABCD is inscribed in circle O, and when connecting OA and OC, it is found that angle AOC equals 116°. What is the degree measure of angle ADC in this scenario?\nChoices:\nA: 122°\nB: 120°\nC: 117°\nD: 116°"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/10351.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194287 | [
{
"from": "user",
"value": "<image>Considering quadrilateral ABCD, which is inscribed in circle O, and given that angle B is 72°, what is the measure of angle D?\nChoices:\nA: 18°\nB: 72°\nC: 100°\nD: 108°"
},
{
"from": "assistant",
"value": "<think> Okay, so there's a cyclic quadrilateral ABCD ... | [
"mulberry_images/geoqa_plus/10905.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194288 | [
{
"from": "user",
"value": "<image>In the given figure, let angle BAE be represented by 'x' degrees. If AE bisects angle BAC, then what is the measure of angle BED in degrees?\nChoices:\nA: 108°\nB: 120°\nC: 126°\nD: 144°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. We have tria... | [
"mulberry_images/geoqa_plus/5780.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194289 | [
{
"from": "user",
"value": "<image>Given that in the figure, quadrilateral ABCD is inscribed in circle O and angle BOD is 140°, what is the degree measure of angle BCD?\nChoices:\nA: 100°\nB: 110°\nC: 120°\nD: 140°"
},
{
"from": "assistant",
"value": "<think> Okay, let's tackle this geometry pro... | [
"mulberry_images/geoqa_plus/10243.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194290 | [
{
"from": "user",
"value": "<image>In the provided figure, a ring-shaped carpet is being laid in the lobby of a hotel. By measuring the length of chord AB of the large circle, which is tangent to the small circle, the worker obtains a measurement of 20.0. What is the area of the ring-shaped carpet?\nChoices... | [
"mulberry_images/geoqa_plus/1010.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194291 | [
{
"from": "user",
"value": "<image>In right triangle ABC, with angle C measuring 90 degrees and side lengths AB and BC equal to 10 and 8 respectively, what is the value of tanB?\nChoices:\nA: 0.6\nB: 0.8\nC: 0.75\nD: \\frac{4}{3}"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. I ne... | [
"mulberry_images/geoqa_plus/10606.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194292 | [
{
"from": "user",
"value": "<image>Given that AB is the diameter of circle O and point D is located on circle O, with angle AOC equaling 120 degrees, what is the degree measure of angle D?\nChoices:\nA: 20°\nB: 30°\nC: 40°\nD: 45°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The... | [
"mulberry_images/geoqa_plus/10349.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194293 | [
{
"from": "user",
"value": "<image>In the figure, where the line segment AB is the diameter of circle O and chord CD is perpendicular to AB, with angle CAB set at 20.0, what is the value of angle AOD?\nChoices:\nA: 120°\nB: 140°\nC: 150°\nD: 160°"
},
{
"from": "assistant",
"value": "<think> Okay... | [
"mulberry_images/geoqa_plus/9734.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194294 | [
{
"from": "user",
"value": "<image>What is the degree measure of angle 2 in the scenario where AB and CD are parallel and angle 1 measures 95°?\nChoices:\nA: 85°\nB: 75°\nC: 65°\nD: 55°"
},
{
"from": "assistant",
"value": "<think> Okay, so there's this problem with two parallel lines, AB and CD,... | [
"mulberry_images/geoqa_plus/11173.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194295 | [
{
"from": "user",
"value": "<image>In the given figure, circle O is illustrated with AB serving as its diameter. Tangents BD and CD are positioned at vertices B and C respectively. If the measure of angle BDC is stated as 110.0 degrees, what is the measure of angle A derived from the joining of points A and... | [
"mulberry_images/geoqa_plus/1188.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194296 | [
{
"from": "user",
"value": "<image>When AB is the diameter of circle O, CD is a chord, angle BCD equals 30 degrees, and OA measures 3, what is the area of sector BOD?\nChoices:\nA: 1\nB: 2π\nC: π\nD: 1.5×π"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem is about finding... | [
"mulberry_images/geoqa_plus/11682.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194297 | [
{
"from": "user",
"value": "<image>If in the figure, line l1 is parallel to line l2 and angle 2 plus angle 3 equals 210 degrees, what is the size of angle 1?\nChoices:\nA: 30°\nB: 35°\nC: 40°\nD: 45°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem illustrates that lines... | [
"mulberry_images/geoqa_plus/11097.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194298 | [
{
"from": "user",
"value": "<image>What is the ratio of the areas of triangle ADE to triangle ABC, if DE is the median of triangle ABC as depicted in the diagram?\nChoices:\nA: \\{1}{√{2}}\nB: 0.5\nC: \\frac{1}{3}\nD: 0.25"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem... | [
"mulberry_images/geoqa_plus/11529.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194299 | [
{
"from": "user",
"value": "<image>Given that AB is parallel to CD in the diagram, if angle EFD measures 115° and angle AEC measures 70°, what is the magnitude of angle CEF?\nChoices:\nA: 35°\nB: 40°\nC: 45°\nD: 50°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem has tw... | [
"mulberry_images/geoqa_plus/11128.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194300 | [
{
"from": "user",
"value": "<image>In the provided diagram depicting triangle ABC, if AD represents the median on BC, and BE acts as the median on AD in triangle ABD, what is the area of triangle ABE given that the area of triangle ABC is 20 square units?\nChoices:\nA: 10\nB: 6\nC: 5\nD: 4"
},
{
"fr... | [
"mulberry_images/geoqa_plus/12008.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194301 | [
{
"from": "user",
"value": "<image>In the given figure, triangle ABC has a right angle at B and sides AB and BC measure 2 units and 4 units respectively. What is the area of square ADEC?\nChoices:\nA: 8\nB: 12\nC: 18\nD: 20"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. So there's... | [
"mulberry_images/geoqa_plus/11370.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194302 | [
{
"from": "user",
"value": "<image>What is the area of quadrilateral ABCD when the length of diagonal AC is 10cm, angle CAB measures 30°, and the length of side AB is 6cm?\nChoices:\nA: 60\nB: 30\nC: 20\nD: 16"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to figure this out. So, ... | [
"mulberry_images/geoqa_plus/11482.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194303 | [
{
"from": "user",
"value": "<image>If the angles of a right triangle are overlapped such that angle BAC is equal to angle EAD, both measuring 90 degrees, and angle B measures 60 degrees while angle E measures 45 degrees, what is the measure of angle EFB in the figure where AB is parallel to DE and AE inters... | [
"mulberry_images/geoqa_plus/11147.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194304 | [
{
"from": "user",
"value": "<image>What is the size of angle FDC in the regular pentagon ABCDE, when an arc is drawn with A as the center and AB as the radius to intersect AC at point F, and line segment DF is connected to point D?\nChoices:\nA: 18°\nB: 30°\nC: 36°\nD: 40°"
},
{
"from": "assistant",... | [
"mulberry_images/geoqa_plus/10649.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194305 | [
{
"from": "user",
"value": "<image>Consider the figure showing a right-angled triangle and a rectangular piece of paper. If angle 1 is equal to 47 degrees, what is the size of angle 2?\nChoices:\nA: 127°\nB: 133°\nC: 137°\nD: 143°"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to f... | [
"mulberry_images/geoqa_plus/11038.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194306 | [
{
"from": "user",
"value": "<image>Let's observe the diagram of square ABCD. It can be seen that equilateral triangle AEF is constructed by placing vertices E and F on sides BC and CD respectively. What is the size of angle AEB? \nChoices:\nA: 60°\nB: 65°\nC: 75°\nD: 80°"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/10719.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194307 | [
{
"from": "user",
"value": "<image>In the provided diagram, lines a, b, c, and d are depicted. It is indicated that line c is perpendicular to both lines a and b, and the intersection of lines b, c, and d takes place at one point. Given that angle 1 is 48°, what is the measure of angle 2?\nChoices:\nA: 42°\... | [
"mulberry_images/geoqa_plus/10898.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194308 | [
{
"from": "user",
"value": "<image>What is the lateral surface area of the cone in the figure, given that its bottom radius is r=6 and its height is h=8?\nChoices:\nA: 15π\nB: 30π\nC: 45π\nD: 60π"
},
{
"from": "assistant",
"value": "<think> Okay, let me see. The problem is asking for the lateral... | [
"mulberry_images/geoqa_plus/11695.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194309 | [
{
"from": "user",
"value": "<image>In the provided figure, a triangular sheet is placed on a rhombus sheet so that its hypotenuse is parallel to one side of the rhombus. Find the measurement of angle 1.\nChoices:\nA: 45°\nB: 50°\nC: 60°\nD: 75°"
},
{
"from": "assistant",
"value": "<think> Okay, ... | [
"mulberry_images/geoqa_plus/10713.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194310 | [
{
"from": "user",
"value": "<image>Given the diagram, where line AB intersects line CD at a point labeled O, and angle EOC is bisected by line OA, if the measure of angle BOD is 42°, what is the size of angle EOD? \nChoices:\nA: 96°\nB: 94°\nC: 104°\nD: 106°"
},
{
"from": "assistant",
"value": "... | [
"mulberry_images/geoqa_plus/10860.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194311 | [
{
"from": "user",
"value": "<image>Given that AB is equal to CD and BC is equal to AD in the figure, and angle B measures 23 degrees, what is the degree measure of angle D?\nChoices:\nA: 23°\nB: 46°\nC: 67°\nD: 0°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem shows th... | [
"mulberry_images/geoqa_plus/10927.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194312 | [
{
"from": "user",
"value": "<image>Given that angle ACB in triangle ABC measures 90 degrees, CD is the median of the triangle, and angle DCB is 35 degrees, what is the degree measure of angle A?\nChoices:\nA: 35°\nB: 55°\nC: 65°\nD: 70°"
},
{
"from": "assistant",
"value": "<think> Alright, let's... | [
"mulberry_images/geoqa_plus/10701.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194313 | [
{
"from": "user",
"value": "<image>In the provided figure, a paper strip with parallel edges is folded twice, forming creases AB and CD. If CD is parallel to BE and angle 1 is equal to 30°, what is the degree of angle 2?\nChoices:\nA: 50°\nB: 60°\nC: 65°\nD: 70°"
},
{
"from": "assistant",
"value... | [
"mulberry_images/geoqa_plus/11189.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194314 | [
{
"from": "user",
"value": "<image>Consider the figure depicting triangle ABD, where angle D is measured to be 80 degrees. On side BD, point C is located, leading to the formation of line segment AC. If angle ACB measures 115 degrees, what is the angle of angle CAD? \nChoices:\nA: 25°\nB: 35°\nC: 30°\nD: 45... | [
"mulberry_images/geoqa_plus/11218.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194315 | [
{
"from": "user",
"value": "<image>If in the diagram of triangle ABC, AD bisects angle BAC and intersects side BC at point D, with angle C measuring 90°, AB measuring 10 units, and CD measuring 3 units, what is the area of triangle ABD?\nChoices:\nA: 15\nB: 30\nC: 10\nD: 20"
},
{
"from": "assistant"... | [
"mulberry_images/geoqa_plus/11541.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194316 | [
{
"from": "user",
"value": "<image>In the provided diagram, AB is parallel to CD. Point E lies on CD, and point F lies on AB. The line EG bisects angle FED and intersects line segment AB at point G. Given that angle GFE measures 66 degrees, what is the measure of angle EGF?\nChoices:\nA: 47°\nB: 57°\nC: 66°... | [
"mulberry_images/geoqa_plus/11172.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194317 | [
{
"from": "user",
"value": "<image>As depicted in the diagram, AB is parallel to CD. Angle FEB is 70°, and the angle bisector of angle EFD, represented as FG, intersects AB at point G. Determine the degree measure of angle EFG.\nChoices:\nA: 63°\nB: 53°\nC: 65°\nD: 55°"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/10814.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194318 | [
{
"from": "user",
"value": "<image>In the provided figure, which shows a right-angled triangle and a rectangular piece of paper, if angle 1 is equal to 47 degrees, what is the measure of angle 2?\nChoices:\nA: 127°\nB: 133°\nC: 137°\nD: 143°"
},
{
"from": "assistant",
"value": "<think> Okay, let... | [
"mulberry_images/geoqa_plus/11038.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194319 | [
{
"from": "user",
"value": "<image>In the given diagram, line a intersects with line b. If angle 1 plus angle 2 equals 240°, then what is the measure of angle 3?\nChoices:\nA: 40°\nB: 50°\nC: 60°\nD: 70°"
},
{
"from": "assistant",
"value": "<think> Okay, so the problem depicts that lines a and b... | [
"mulberry_images/geoqa_plus/10941.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194320 | [
{
"from": "user",
"value": "<image>If lines a and b are parallel in the given figure, and angle 1 is equal to twice the measure of angle 2, what is the measure of angle 2?\nChoices:\nA: 50°\nB: 60°\nC: 70°\nD: 80°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem displays... | [
"mulberry_images/geoqa_plus/11001.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194321 | [
{
"from": "user",
"value": "<image>Consider the given diagram where line AB is parallel to line DE. Point A lies on the intersection of line AC and line AB, while point C lies on the intersection of line AC and line DE. Moreover, point B is the intersection of line BC, which is perpendicular to line AC, and... | [
"mulberry_images/geoqa_plus/11114.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194322 | [
{
"from": "user",
"value": "<image>Determine the area of rhombus ABCD, where the length of side AB is √5, diagonals AC and BD intersect at O, and the length of OA is 1.\nChoices:\nA: √{5}\nB: 2√{5}\nC: 2\nD: 4"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to figure out the area of... | [
"mulberry_images/geoqa_plus/11620.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194323 | [
{
"from": "user",
"value": "<image>Given the provided figure, with point A denoting the intersection of DA and AB, where DA is perpendicular to AB, and point D denoting the intersection of CD and DA, where CD is perpendicular to DA, if angle B is 63 degrees, what is the degree measure of angle C?\nChoices:\... | [
"mulberry_images/geoqa_plus/10880.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194324 | [
{
"from": "user",
"value": "<image>Given that AB, AC, and AD all have equal lengths, and angle CBD measures twice the measure of angle BDC, and angle BAC measures 42 degrees, what is the measure of angle CAD?\nChoices:\nA: 56\nB: 78\nC: 84\nD: 112"
},
{
"from": "assistant",
"value": "<think> Oka... | [
"mulberry_images/geoqa_plus/9595.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194325 | [
{
"from": "user",
"value": "<image>Given the diagram depicting triangle ABC, with angle C equal to 90 degrees, and AD being the bisector of angle BAC, if angle ADC is measured as 65 degrees, what is the measure of angle BAC?\nChoices:\nA: 25°\nB: 35°\nC: 50°\nD: 70°"
},
{
"from": "assistant",
"v... | [
"mulberry_images/geoqa_plus/11241.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194326 | [
{
"from": "user",
"value": "<image>In the figure, triangle ABC is depicted with AB = BC = √{3} and angle BAC at 30°. Using points A and C as centers, arcs with AC as the radius intersect at point D. If DA and DC are connected, what is the area of quadrilateral ABCD?\nChoices:\nA: 6√{3}\nB: 9\nC: 6\nD: 3√{3}... | [
"mulberry_images/geoqa_plus/11545.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194327 | [
{
"from": "user",
"value": "<image>Given the regular hexagon ABCDEF in the provided diagram, if we connect BF and DF, what is the measure of angle BFD?\nChoices:\nA: 50°\nB: 60°\nC: 65°\nD: 70°"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to figure out the measure of angle BFD i... | [
"mulberry_images/geoqa_plus/11207.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194328 | [
{
"from": "user",
"value": "<image>Given the triangle ABC in the figure, where D and E are marked as the midpoints of sides BC and BA respectively, and the area of triangle ABC is 32, what is the area of triangle DEB?\nChoices:\nA: 0\nB: 4\nC: 8\nD: 16"
},
{
"from": "assistant",
"value": "<think... | [
"mulberry_images/geoqa_plus/11859.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194329 | [
{
"from": "user",
"value": "<image>Considering the diagram showing quadrilateral ABCD as a rhombus with diagonals AC and BD intersecting at point O, and DH being perpendicular to AB at H, what is the degree measure of angle DHO if angle CAD measures 25°?\nChoices:\nA: 20°\nB: 25°\nC: 30°\nD: 35°"
},
{
... | [
"mulberry_images/geoqa_plus/10718.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194330 | [
{
"from": "user",
"value": "<image>When considering the collinear arrangement of points D, B, C, and E as depicted in the figure, and the sum of angle ABD and angle ACE being 230.0, what would be the degree measure of angle A?\nChoices:\nA: 50°\nB: 60°\nC: 70°\nD: 80°"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/1095.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194331 | [
{
"from": "user",
"value": "<image>In the given diagram, ABCD represents a rectangle. Let F be a point on the extension of line segment DA, and G be a point on line segment CF such that the angle ACG is equal to the angle AGC, and the angle GAF is equal to the angle F. If the measure of angle ECB is 15 degr... | [
"mulberry_images/geoqa_plus/10684.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194332 | [
{
"from": "user",
"value": "<image>In square ABCD where point O is situated inside triangle ACD, if angle OAC has the same degree measure as angle ODA, what is the measure of angle AOD?\nChoices:\nA: 120°\nB: 125°\nC: 130°\nD: 135°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. We... | [
"mulberry_images/geoqa_plus/10680.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194333 | [
{
"from": "user",
"value": "<image>In the provided figure, angle C in quadrilateral ABCD measures 110°. Additionally, the exterior angles adjacent to angle BAD and angle ABC both measure 110°. What is the degree measure of the exterior angle α, which is formed with angle ADC?\nChoices:\nA: 90°\nB: 85°\nC: 8... | [
"mulberry_images/geoqa_plus/11313.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194334 | [
{
"from": "user",
"value": "<image>Referring to the figure provided, let ABCD be a parallelogram with intersecting diagonals AC and BD at point O. Point E is the midpoint of side AD, and a line segment OE is constructed. If the length of OE is equal to 3 units, what is the length of side CD?\nChoices:\nA: 3... | [
"mulberry_images/geoqa_plus/12083.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194335 | [
{
"from": "user",
"value": "<image>In the given diagram, if angle CEB measures 50° and the line AB intersects CD at point E, where EF is perpendicular to AE, what is the degree measure of angle DEF?\nChoices:\nA: 130°\nB: 140°\nC: 150°\nD: 160°"
},
{
"from": "assistant",
"value": "<think> Okay, ... | [
"mulberry_images/geoqa_plus/11027.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194336 | [
{
"from": "user",
"value": "<image>Given that line AB is parallel to line DE in the diagram, line AC intersects AB at point A and intersects DE at point C. Furthermore, BC is perpendicular to AC and intersects AB at point B. If angle ABC is 22°, what is the measure of angle ACD?\nChoices:\nA: 48°\nB: 58°\nC... | [
"mulberry_images/geoqa_plus/11114.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194337 | [
{
"from": "user",
"value": "<image>If AC measures 8 in quadrilateral ABCD, what is the length of AO?\nChoices:\nA: 2\nB: 4\nC: 6\nD: 8"
},
{
"from": "assistant",
"value": "<think> Okay, let me think about this. The problem depicts that in quadrilateral ABCD, the diagonals AC and BD intersect at ... | [
"mulberry_images/geoqa_plus/12448.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194338 | [
{
"from": "user",
"value": "<image>In the given diagram, suppose AB is parallel to CD, CE bisects angle ACD, and the measure of angle A is 120 degrees. What is the measure of angle 1?\nChoices:\nA: 45°\nB: 60°\nC: 40°\nD: 30°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The prob... | [
"mulberry_images/geoqa_plus/11153.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194339 | [
{
"from": "user",
"value": "<image>In triangle ABC, depicted in the diagram, angle C is right-angled, with side lengths BC and AC measuring 6 and 8 units respectively. Point E is the midpoint of side AB, while segment BD is twice as long as segment CD. Determine the area of triangle BDE.\nChoices:\nA: 4\nB:... | [
"mulberry_images/geoqa_plus/11813.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194340 | [
{
"from": "user",
"value": "<image>If the diameter of circle O is AB, with CD being a chord and angle BCD measuring 30 degrees, and OA equal to 3, what is the area of sector BOD?\nChoices:\nA: 1\nB: 2π\nC: π\nD: 1.5×π"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find the area ... | [
"mulberry_images/geoqa_plus/11682.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194341 | [
{
"from": "user",
"value": "<image>If AB is parallel to CD in the diagram and points E and F are positioned on the side AC, and angle CED equals 70 degrees while angle BFC equals 130 degrees, what is the sum of angle B and angle D?\nChoices:\nA: 40°\nB: 50°\nC: 60°\nD: 70°"
},
{
"from": "assistant",... | [
"mulberry_images/geoqa_plus/10448.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194342 | [
{
"from": "user",
"value": "<image>If point C lies on circle O and angle ACB measures 56 degrees, what is the degree measure of angle APB in the provided diagram where points A and B are tangents to circle O?\nChoices:\nA: 58°\nB: 68°\nC: 78°\nD: 124°"
},
{
"from": "assistant",
"value": "<think>... | [
"mulberry_images/geoqa_plus/11297.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194343 | [
{
"from": "user",
"value": "<image>Consider the diagram of triangle ABC, where AB = 2021 and AC = 2018. AD is the median. Determine the difference in perimeter between triangles ABD and ACD.\nChoices:\nA: 1\nB: 2\nC: 3\nD: 4"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to figure... | [
"mulberry_images/geoqa_plus/11280.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194344 | [
{
"from": "user",
"value": "<image>Triangle DEF is placed on triangle ABC, with DE and DF, the two perpendicular sides of triangle DEF, passing through points B and C respectively. If the sum of angle DBA and angle DCA is 45 degrees in triangle ABC, what is the degree measurement of angle A?\nChoices:\nA: 4... | [
"mulberry_images/geoqa_plus/11254.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194345 | [
{
"from": "user",
"value": "<image>If angle OAC is equal to angle ODA and point O lies inside triangle ACD in square ABCD, what is the degree measure of angle AOD?\nChoices:\nA: 120°\nB: 125°\nC: 130°\nD: 135°"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to figure this out. So, w... | [
"mulberry_images/geoqa_plus/10680.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194346 | [
{
"from": "user",
"value": "<image>Considering the diagram with line AB intersecting line CD at point O, what is the measure of angle EOD if angle BOD equals 50° and angle COE is bisected by OA?\nChoices:\nA: 60°\nB: 70°\nC: 75°\nD: 80°"
},
{
"from": "assistant",
"value": "<think> Okay, let's tr... | [
"mulberry_images/geoqa_plus/11186.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194347 | [
{
"from": "user",
"value": "<image>In the figure given, where line a is parallel to line b and line l intersects lines a and b at points A and B respectively, if angle 1 has a measure of 54°, what is the degree measure of angle 2?\nChoices:\nA: 126°\nB: 134°\nC: 130°\nD: 144°"
},
{
"from": "assistan... | [
"mulberry_images/geoqa_plus/11171.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194348 | [
{
"from": "user",
"value": "<image>Triangle ABD has a perimeter of 28cm, and AB is 6cm longer than AC. If AD is the median of triangle ABC, what is the perimeter of triangle ACD?\nChoices:\nA: 31cm\nB: 25cm\nC: 22cm\nD: 19cm"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to solve t... | [
"mulberry_images/geoqa_plus/11410.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194349 | [
{
"from": "user",
"value": "<image>What is the degree measure of angle ABD when angle BCD measures 24 degrees in the figure where AB is the diameter of circle O and CD is a chord?\nChoices:\nA: 54°\nB: 56°\nC: 64°\nD: 66°"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to figure th... | [
"mulberry_images/geoqa_plus/10917.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194350 | [
{
"from": "user",
"value": "<image>The diagram illustrates triangle ABC, where BD functions as the median. With AB measuring 6 units and BC measuring 4 units, what is the discrepancy in perimeter between triangle ABD and triangle BCD?\nChoices:\nA: 2\nB: 4\nC: 6\nD: 10"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/11267.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194351 | [
{
"from": "user",
"value": "<image>By eliminating a 80° angle from quadrilateral ABCD, a pentagon BCDEF is achieved. Calculate the sum of angle 1 and angle 2.\nChoices:\nA: 240°\nB: 260°\nC: 280°\nD: 300°"
},
{
"from": "assistant",
"value": "<think> Okay, let's tackle this problem step by step. ... | [
"mulberry_images/geoqa_plus/11231.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194352 | [
{
"from": "user",
"value": "<image>If line a is parallel to line b in the provided figure and line l intersects lines a and b at points A and B respectively, and angle 1 is measured at 54°, what would be the degree measure of angle 2?\nChoices:\nA: 126°\nB: 134°\nC: 130°\nD: 144°"
},
{
"from": "assi... | [
"mulberry_images/geoqa_plus/11171.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194353 | [
{
"from": "user",
"value": "<image>Considering that circle O is the circumcircle of regular pentagon ABCDE, what is the measure of angle ADE?\nChoices:\nA: 40°\nB: 36°\nC: 32°\nD: 30°"
},
{
"from": "assistant",
"value": "<think> Alright, let's see. The problem is about a regular pentagon inscrib... | [
"mulberry_images/geoqa_plus/10910.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194354 | [
{
"from": "user",
"value": "<image>If the degree measure of angle A in triangle ABC is 80°, and angle A is removed to create a quadrilateral, what is the combined measure of angles 1 and 2 in the resulting quadrilateral?\nChoices:\nA: 100°\nB: 160°\nC: 260°\nD: 280°"
},
{
"from": "assistant",
"v... | [
"mulberry_images/geoqa_plus/11257.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194355 | [
{
"from": "user",
"value": "<image>If the base radius of a cone is r=6 and its height is h=8, what would be the lateral surface area of the cone as depicted in the figure?\nChoices:\nA: 15π\nB: 30π\nC: 45π\nD: 60π"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find the lateral s... | [
"mulberry_images/geoqa_plus/11695.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194356 | [
{
"from": "user",
"value": "<image>If AB is perpendicular to CD with the foot being O and EF is a straight line passing through point O, what is the degree of angle 2 when we know that angle 1 measures 40 degrees?\nChoices:\nA: 40°\nB: 45°\nC: 50°\nD: 60°"
},
{
"from": "assistant",
"value": "<th... | [
"mulberry_images/geoqa_plus/10873.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194357 | [
{
"from": "user",
"value": "<image>In the provided diagram, if DE is parallel to BC and BE bisects angle ABC, what is the measure of angle CBE given that angle 1 has a measure of 66 degrees?\nChoices:\nA: 33°\nB: 32°\nC: 22°\nD: 56°"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to... | [
"mulberry_images/geoqa_plus/10963.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194358 | [
{
"from": "user",
"value": "<image>In the accompanying diagram, three lines – l1, l2, and l3 – are visible. Line l1 is parallel to l2 and intersects with l3 at points A and C. Additionally, a perpendicular line AD is drawn from point A to line AC, intersecting l2 at point D. If angle BAD is equal to 35°, wh... | [
"mulberry_images/geoqa_plus/10792.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194359 | [
{
"from": "user",
"value": "<image>In the given diagram, square ABCD is shown with point E positioned on the diagonal BD. The extension of AE intersects CD at point F, and CE is a connecting line. If the measure of angle AFD is 56 degrees, what would be the measure of angle CEF?\nChoices:\nA: 22°\nB: 24°\nC... | [
"mulberry_images/geoqa_plus/10686.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194360 | [
{
"from": "user",
"value": "<image>What is the lateral area formed when triangle ABC, with angle ACB = 90°, angle BAC = 30°, and BC = 2cm, is rotated around the line AC for one complete revolution?\nChoices:\nA: 16πcm2\nB: 8πcm2\nC: 4πcm2\nD: 2πcm2"
},
{
"from": "assistant",
"value": "<think> Ok... | [
"mulberry_images/geoqa_plus/11694.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194361 | [
{
"from": "user",
"value": "<image>What are the necessary steps to measure the width AB of a swimming pool, considering the need to find a point P outside the pool, the presence of points C and D as the midpoints of PA and PB, respectively, and the measured length of CD being 8 meters?\nChoices:\nA: 16m\nB:... | [
"mulberry_images/geoqa_plus/12077.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194362 | [
{
"from": "user",
"value": "<image>If we have a diagram depicting a grid paper with four identical squares, what does the sum of angle 1 and angle 2 equal?\nChoices:\nA: 60°\nB: 90°\nC: 100°\nD: 120°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem is about a 2x2 grid of... | [
"mulberry_images/geoqa_plus/11283.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194363 | [
{
"from": "user",
"value": "<image>Triangle ABC is shown in the diagram, with angle A measuring 30 degrees. Point E lies on the extension of side BC. At point D, the angle bisectors of angle ABC and angle ACE intersect. What is the degree measure of angle D?\nChoices:\nA: 10°\nB: 15°\nC: 20°\nD: 30°"
},
... | [
"mulberry_images/geoqa_plus/11275.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194364 | [
{
"from": "user",
"value": "<image>In triangle ACB, which is congruent to triangle A'CB', if angle BCB' measures 30 degrees, what is the degree measure of angle ACA'? \nChoices:\nA: 30°\nB: 20°\nC: 35°\nD: 40°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. We have two congruent tr... | [
"mulberry_images/geoqa_plus/11351.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194365 | [
{
"from": "user",
"value": "<image>In triangle ABC, angle BAC is 90 degrees. If squares ABIH and ACFG are constructed outside with sides AB and CA respectively, what would be the area of square BDEC? \nChoices:\nA: 130\nB: 119\nC: 169\nD: 120"
},
{
"from": "assistant",
"value": "<think> Okay, le... | [
"mulberry_images/geoqa_plus/11374.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194366 | [
{
"from": "user",
"value": "<image>If the cone shown in the figure has a bottom radius of r=6 and a height of h=8, then what is its lateral surface area?\nChoices:\nA: 15π\nB: 30π\nC: 45π\nD: 60π"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find the lateral surface area of a c... | [
"mulberry_images/geoqa_plus/11695.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194367 | [
{
"from": "user",
"value": "<image>In the diagram, line segments AM and CM bisect angles BAD and BCD, respectively. If angle B measures 34° and angle D measures 42°, what is the degree measure of angle M?\nChoices:\nA: 34°\nB: 38°\nC: 40°\nD: 42°"
},
{
"from": "assistant",
"value": "<think> Okay... | [
"mulberry_images/geoqa_plus/11278.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194368 | [
{
"from": "user",
"value": "<image>In the provided figure, where angle AOC and angle COB are complementary and angle BOC measures 15 degrees, and OC serves as the bisector of angle AOD, what is the measure of angle BOD?\nChoices:\nA: 75°\nB: 60°\nC: 65°\nD: 55°"
},
{
"from": "assistant",
"value"... | [
"mulberry_images/geoqa_plus/11746.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194369 | [
{
"from": "user",
"value": "<image>Triangle ABC has angle C measuring 90 degrees, EF parallel to AB, and angle 1 measuring 40 degrees. What is the degree measure of angle B?\nChoices:\nA: 40°\nB: 60°\nC: 30°\nD: 50°"
},
{
"from": "assistant",
"value": "<think> Okay, so we have a right triangle A... | [
"mulberry_images/geoqa_plus/11214.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194370 | [
{
"from": "user",
"value": "<image>Given a rectangular strip of paper ABCD folded along the line AF, and with angle ADB equal to 32° while AE is parallel to BD, what is the measure of angle DAF?\nChoices:\nA: 30°\nB: 28°\nC: 29°\nD: 26°"
},
{
"from": "assistant",
"value": "<think> Okay, let's ta... | [
"mulberry_images/geoqa_plus/10511.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194371 | [
{
"from": "user",
"value": "<image>As illustrated in the diagram, the ladder's horizontal bars are shown to be parallel to each other. If the measure of angle 2 is 80 degrees, what would be the degree measure of angle 1?\nChoices:\nA: 80°\nB: 100°\nC: 60°\nD: 120°"
},
{
"from": "assistant",
"val... | [
"mulberry_images/geoqa_plus/10973.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194372 | [
{
"from": "user",
"value": "<image>Find the lateral surface area of a cone with a base radius of 1 and a slant height of 3.\nChoices:\nA: 2π\nB: 3π\nC: 6π\nD: 8π"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem is asking for the lateral surface area of a cone. The given ... | [
"mulberry_images/geoqa_plus/11696.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194373 | [
{
"from": "user",
"value": "<image>What is the measure of angle D in the given figure where AB is parallel to CD and angle 1 is 140°?\nChoices:\nA: 40°\nB: 50°\nC: 60°\nD: 70°"
},
{
"from": "assistant",
"value": "<think> Okay, so the problem is about two parallel lines, AB and CD, intersected by... | [
"mulberry_images/geoqa_plus/10972.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194374 | [
{
"from": "user",
"value": "<image>In the figure, line a is parallel to line b, and line c intersects lines a and b at points M and N respectively. PN is perpendicular to line c, and angle 1 measures 70°. What is the degree measure of angle 2?\nChoices:\nA: 20°\nB: 25°\nC: 15°\nD: 10°"
},
{
"from": ... | [
"mulberry_images/geoqa_plus/11148.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194375 | [
{
"from": "user",
"value": "<image>When observing the figure, it becomes clear that triangle ABC is displayed, where points D and E represent the midpoints of BC and AD respectively. Given that the area of triangle ABC measures 10, what can be said about the area of triangle ABE?\nChoices:\nA: \\frac{5}{4}\... | [
"mulberry_images/geoqa_plus/11923.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194376 | [
{
"from": "user",
"value": "<image>Provided in the figure is a rectangular piece of paper with a triangular board on one side, having its right angle vertex placed on the rectangle. If angle 2 is measured as 55 degrees, what degree will angle 1 be?\nChoices:\nA: 35°\nB: 45°\nC: 55°\nD: 65°"
},
{
"fr... | [
"mulberry_images/geoqa_plus/11052.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194377 | [
{
"from": "user",
"value": "<image>If line a and line b are intersected by line c in the provided figure, where line a is parallel to line b and angle 1 has a measure of 120 degrees, what is the size of angle 2?\nChoices:\nA: 50°\nB: 60°\nC: 70°\nD: 80°"
},
{
"from": "assistant",
"value": "<thin... | [
"mulberry_images/geoqa_plus/11165.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194378 | [
{
"from": "user",
"value": "<image>Given a figure where pentagon ABCDE is inscribed in circle O, point P lies on the line segment DE (excluding point D). What is the measure, in degrees, of angle CPD?\nChoices:\nA: 30°\nB: 36°\nC: 60°\nD: 72°"
},
{
"from": "assistant",
"value": "<think> Okay, le... | [
"mulberry_images/geoqa_plus/10658.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194379 | [
{
"from": "user",
"value": "<image>Given that triangle ABC is circumscribed about circle O, and the external angle BAE's bisector intersects circle O at point D, with A being the midpoint of arc CD, what is the measure of angle ACB if angle ABC measures 28°?\nChoices:\nA: 84°\nB: 85°\nC: 86°\nD: 88°"
},
... | [
"mulberry_images/geoqa_plus/10148.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194380 | [
{
"from": "user",
"value": "<image>What is the measurement in degrees of angle 2 in the given diagram where line a is parallel to line b, angle 1 is 40°, and a right-angled triangle plate with an angle of 30° is placed accordingly?\nChoices:\nA: 85°\nB: 80°\nC: 50°\nD: 40°"
},
{
"from": "assistant",... | [
"mulberry_images/geoqa_plus/11060.png"
] | vision_r1_mulberry_sft_full |
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