id stringlengths 29 36 | conversations listlengths 1 48 | images listlengths 1 1 | source_dataset stringclasses 2
values |
|---|---|---|---|
vision_r1_mulberry_sft_full-194981 | [
{
"from": "user",
"value": "<image>In triangle ABC, E lies on AB and F lies on AC, with EF being parallel to BC. If EB/AB is 4/5, what is the ratio of AC to FC?\nChoices:\nA: \\frac{9}{4}\nB: \\frac{5}{9}\nC: \\frac{5}{4}\nD: \\frac{9}{5}"
},
{
"from": "assistant",
"value": "<think> Okay, let me... | [
"mulberry_images/geoqa_plus/4760.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194982 | [
{
"from": "user",
"value": "<image>In triangle ABC, angle ABC is bisected by BF and angle ACB is bisected by CF. If angle BFC measures 115.0 degrees, what is the degree measure of angle A in the figure provided?\nChoices:\nA: 50°\nB: 57.5°\nC: 60°\nD: 65°"
},
{
"from": "assistant",
"value": "<th... | [
"mulberry_images/geoqa_plus/1610.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194983 | [
{
"from": "user",
"value": "<image>In the given diagram featuring circle O, it is known that AB and CD serve as diameters. The measure of angle AOC is provided as 50 degrees. If line AE is drawn parallel to CD and intersects circle O at point E, what is the measure of angle AOE?\nChoices:\nA: 65°\nB: 70°\nC... | [
"mulberry_images/geoqa_plus/1702.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194984 | [
{
"from": "user",
"value": "<image>If a triangular material with side BC measuring 120.0 and height AD measuring 80.0 is formed into a square with one side on BC and the other two vertices on AB and AC, what is the length of the square's side?\nChoices:\nA: 40mm\nB: 45mm\nC: 48mm\nD: 60mm"
},
{
"fro... | [
"mulberry_images/geoqa_plus/2302.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194985 | [
{
"from": "user",
"value": "<image>With angle ACB measuring 22.0 degrees and points A, B, and C being on circle O, what is the measure of angle AOB within this context?\nChoices:\nA: 11°\nB: 22°\nC: 44°\nD: 66°"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to figure this out. So ... | [
"mulberry_images/geoqa_plus/1861.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194986 | [
{
"from": "user",
"value": "<image>Based on the provided figure, triangle ABC is displayed with angle ABC at 90 degrees and angle A at 50 degrees. What is the degree value of angle C?\nChoices:\nA: 50°\nB: 40°\nC: 30°\nD: 45°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The prob... | [
"mulberry_images/geoqa_plus/1925.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194987 | [
{
"from": "user",
"value": "<image>In the given figure, if AB is parallel to CD, angle C measures 70.0 degrees, and angle F measures 30.0 degrees, what is the degree measure of angle A?\nChoices:\nA: 30°\nB: 40°\nC: 50°\nD: 60°"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find... | [
"mulberry_images/geoqa_plus/1536.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194988 | [
{
"from": "user",
"value": "<image>What would be the radius of the bottom circle of the cone when a sector with a radius of 9.0 and a central angle of 120.0 is rolled into a cone (without overlap), as shown in the figure?\nChoices:\nA: 1\nB: 2\nC: 3\nD: π"
},
{
"from": "assistant",
"value": "<th... | [
"mulberry_images/geoqa_plus/2122.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194989 | [
{
"from": "user",
"value": "<image>In the figure shown, the circle has its center at point O. The chord AB intersects the radius OC at point D and forms a right angle. If the length of AB is 8.0 units and OB is 5.0 units, what is the magnitude of OD?\nChoices:\nA: 2\nB: 3\nC: 4\nD: 5"
},
{
"from": "... | [
"mulberry_images/geoqa_plus/5136.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194990 | [
{
"from": "user",
"value": "<image>In an attempt to determine the height of a flagpole on campus, Xiaohu used shadows. If Xiaohu's height is 1.6 and his shadow length is 2.0, what is the height of the flagpole if its shadow length measures 20.0?\nChoices:\nA: 8\nB: 10\nC: 20\nD: 16"
},
{
"from": "as... | [
"mulberry_images/geoqa_plus/2400.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194991 | [
{
"from": "user",
"value": "<image>Consider the figure depicting the cross section of a cylindrical water pipe, where the shaded area represents the water. If the radius of the water pipe is given as 5.0 units and the width of the water surface at points A and B is 8.0 units, what is the maximum depth of th... | [
"mulberry_images/geoqa_plus/1927.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194992 | [
{
"from": "user",
"value": "<image>As depicted in the figure, Xiaodong measures the height of the school flagpole using a bamboo pole with a length of 2.4. By manipulating the position of the bamboo pole so that the shadow it casts, as well as the shadow of the flagpole, align at a common point on the groun... | [
"mulberry_images/geoqa_plus/2296.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194993 | [
{
"from": "user",
"value": "<image>What is the perimeter of quadrilateral EFGH in the situation where D is inside triangle ABC, with BD perpendicular to CD, and the lengths of AD, BD, and CD being 6, 4, and 3 respectively, with E, F, G, and H as midpoints of AB, AC, CD, and BD? \nChoices:\nA: 7\nB: 9\nC: 10... | [
"mulberry_images/geoqa_plus/13049.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194994 | [
{
"from": "user",
"value": "<image>Given that triangle ABC is shown in the figure, with D and E as the midpoints of BC and AC respectively, BF bisects angle ABC and intersects DE at point F. If BC measures 6 units, what is the length of DF?\nChoices:\nA: 3\nB: 4\nC: 5\nD: 6"
},
{
"from": "assistant"... | [
"mulberry_images/geoqa_plus/12995.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194995 | [
{
"from": "user",
"value": "<image>If AD measures 3.0, DB measures 2.0, and DE is parallel to BC in triangle ABC, what is the value of DE:BC?\nChoices:\nA: \\frac{3}{2}\nB: \\frac{2}{3}\nC: \\frac{9}{4}\nD: \\frac{3}{5}"
},
{
"from": "assistant",
"value": "<think> Okay, so there's this triangle ... | [
"mulberry_images/geoqa_plus/4731.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194996 | [
{
"from": "user",
"value": "<image>If a cylinder is depicted with a height and a radius measuring 8.0 and 3.0 respectively, and a plane is used to vertically cut the cylinder along the diameter of the upper base, what will be the area of the resulting section?\nChoices:\nA: 24\nB: 48\nC: 32\nD: 72"
},
{... | [
"mulberry_images/geoqa_plus/2253.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194997 | [
{
"from": "user",
"value": "<image>If AB is parallel to CD in the diagram shown, with angle 1 measuring 110.0 degrees and angle ECD measuring 70.0 degrees, what is the degree measure of angle E?\nChoices:\nA: 30°\nB: 40°\nC: 50°\nD: 60°"
},
{
"from": "assistant",
"value": "<think> Okay, let's se... | [
"mulberry_images/geoqa_plus/1980.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194998 | [
{
"from": "user",
"value": "<image>What is the smallest length of EF in the diagram depicting triangle ABC with a 90° angle at A, AC measuring 8 units, AB measuring 6 units, and point D moving along side BC (excluding points B and C)? Point D is the point where DE intersects AB perpendicularly at E, and DF ... | [
"mulberry_images/geoqa_plus/12936.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194999 | [
{
"from": "user",
"value": "<image>If the straight lines labeled n are intersected by three parallel lines a, b, and c, creating intersection points A, C, and F, and B, D, and E, and AF measures 10.0 while AC measures 4.0, and BE measures 12.0, what is the length of segment DE?\nChoices:\nA: 4\nB: 6\nC: 7.2... | [
"mulberry_images/geoqa_plus/4631.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195000 | [
{
"from": "user",
"value": "<image>When positioning a right triangle plate with 45.0 angles on the opposite sides of a ruler, where angle 1 is measured as 20.0 degrees, what is the value of angle 2?\nChoices:\nA: 30°\nB: 25°\nC: 20°\nD: 15°"
},
{
"from": "assistant",
"value": "<think> Okay, let'... | [
"mulberry_images/geoqa_plus/1552.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195001 | [
{
"from": "user",
"value": "<image>As depicted in the figure, triangle ABC is shown with points D and E located on sides AB and BC respectively. The length of AD is precisely double the length of BD, and the length of BE matches that of CE. If the area of triangle ABC is 12, what is the value of S1 - S2, wh... | [
"mulberry_images/geoqa_plus/11889.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195002 | [
{
"from": "user",
"value": "<image>If the length of the short arm of the railroad crossing railing is initially 1.0 and the length of the long arm is 12.0, how much would the end of the long arm be raised if the end of the short arm is lowered by 0.5, according to the depicted figure?\nChoices:\nA: 6米\nB: 8... | [
"mulberry_images/geoqa_plus/2437.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195003 | [
{
"from": "user",
"value": "<image>When points A, B, and C lie on circle O and angle ACB equals 22.0 degrees, how many degrees is angle AOB?\nChoices:\nA: 11°\nB: 22°\nC: 44°\nD: 66°"
},
{
"from": "assistant",
"value": "<think> Okay, so the problem is about a circle with points A, B, and C on it... | [
"mulberry_images/geoqa_plus/1861.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195004 | [
{
"from": "user",
"value": "<image>If we have a diagram of quadrilateral ABCD, with AC bisecting angle DAB and AB being 2 units long, what is the perimeter of the quadrilateral?\nChoices:\nA: 4\nB: 6\nC: 8\nD: 12"
},
{
"from": "assistant",
"value": "<think> Okay, let's tackle this problem step b... | [
"mulberry_images/geoqa_plus/13094.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195005 | [
{
"from": "user",
"value": "<image>If the length of the generatrix is 10.0 and the height is 6.0, what is the total area of the cone as seen in the figure?\nChoices:\nA: 144πcm^{2}\nB: 640πcm^{2}\nC: 320πcm^{2}\nD: 80πcm^{2}"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. I need to... | [
"mulberry_images/geoqa_plus/2040.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195006 | [
{
"from": "user",
"value": "<image>In the figure, there is a triangle ABC with points D and E on its edges AB and AC respectively, and DE is parallel to BC. If AD measures 2.0, DB measures 4.0, and the perimeter of triangle ADE is 10.0, then what is the perimeter of triangle ABC?\nChoices:\nA: 15cm\nB: 20cm... | [
"mulberry_images/geoqa_plus/8008.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195007 | [
{
"from": "user",
"value": "<image>As shown in the figure, A, B, C are the three points on circle O, if angle C = 35.0, then the degree of angle AOB is ()\nChoices:\nA: 35°\nB: 55°\nC: 65°\nD: 70°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem is about a circle with ce... | [
"mulberry_images/geoqa_plus/8458.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195008 | [
{
"from": "user",
"value": "<image>Given in the figure of rectangle ABCD, point E serves as the midpoint of side AD, and the intersection of BD and CE is at point F. If the length of DF is 2.0, then what is the length of BF?\nChoices:\nA: 2\nB: 3\nC: 4\nD: 5"
},
{
"from": "assistant",
"value": "... | [
"mulberry_images/geoqa_plus/7126.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195009 | [
{
"from": "user",
"value": "<image>If the semicircle O has a diameter AE equal to 4.0, with points B, C, and D located on the semicircle, where AB is equal to BC and CD is equal to DE, and OB and OD are connected, what is the area of the shaded region in the figure?\nChoices:\nA: π\nB: 2π\nC: 8\nD: 11"
},... | [
"mulberry_images/geoqa_plus/6526.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195010 | [
{
"from": "user",
"value": "<image>If the triangles ACD and ABD are axisymmetric with respect to the line containing AD and the points B, D, and C are collinear, and AC equals 3.0 while BD equals 2.0, what is the perimeter of triangle ABC as depicted in the figure?\nChoices:\nA: 5\nB: 10\nC: 6\nD: 12"
},
... | [
"mulberry_images/geoqa_plus/5648.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195011 | [
{
"from": "user",
"value": "<image>If the aerial drone observed the elevation angle of the top B of a building from point A as 30.0 degrees, the depression angle of the bottom C as 60.0 degrees, and with a horizontal distance AD of 90.0, what would be the approximate height of the building BC?\nChoices:\nA:... | [
"mulberry_images/geoqa_plus/8180.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195012 | [
{
"from": "user",
"value": "<image>If sinα is 5.0/13.0 and the trolley travels 13.0 along a slope with an inclination angle α, what is the ascent height of the trolley, as shown in the figure?\nChoices:\nA: 5米\nB: 6米\nC: 6.5米\nD: 7米"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. T... | [
"mulberry_images/geoqa_plus/5515.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195013 | [
{
"from": "user",
"value": "<image>Given the figure, where line AB is parallel to line CD and point E lies on the line segment BC, if angle 1 measures 40.0 degrees and angle 2 measures 30.0 degrees, what is the degree of angle 3?\nChoices:\nA: 70°\nB: 60°\nC: 55°\nD: 50°"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/243.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195014 | [
{
"from": "user",
"value": "<image>Provided in the figure, triangle ABC has angle A measuring exactly 50.0 degrees. The inscribed circle I is tangent to the edges BC, CA, and AB at points D, E, and F respectively. What is the value of angle EDF?\nChoices:\nA: 55°\nB: 60°\nC: 65°\nD: 70°"
},
{
"from"... | [
"mulberry_images/geoqa_plus/665.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195015 | [
{
"from": "user",
"value": "<image>In a right-angled triangle ABC, as depicted, where angle C measures 90 degrees and AB is 10.0 while AC is 6.0, with D, E, F as the midpoints of the three sides, what value represents the perimeter of triangle DEF?\nChoices:\nA: 24\nB: 16\nC: 14\nD: 12"
},
{
"from":... | [
"mulberry_images/geoqa_plus/5950.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195016 | [
{
"from": "user",
"value": "<image>Given a triangle ABC shown in the figure, where angle B is 55.0 degrees and angle C is 63.0 degrees, and DE is parallel to AB, what is the degree measure of angle DEC?\nChoices:\nA: 63°\nB: 113°\nC: 55°\nD: 62°"
},
{
"from": "assistant",
"value": "<think> Okay,... | [
"mulberry_images/geoqa_plus/5081.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195017 | [
{
"from": "user",
"value": "<image>If the height of triangle ABC is represented by AD and measures 10.0, with AB measuring 15.0 and AC measuring 12.0, what is the diameter AE of the circumscribed circle?\nChoices:\nA: 20\nB: 18\nC: 16\nD: 10√{3}"
},
{
"from": "assistant",
"value": "<think> Okay,... | [
"mulberry_images/geoqa_plus/7906.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195018 | [
{
"from": "user",
"value": "<image>As shown in the figure, in quadrilateral ABCD, with the angle bisector of angle DAB and the bisector of the exterior angle ABC intersecting at point P, and the sum of angles D and C equaling 210 degrees, what is the degree measure of angle P?\nChoices:\nA: 10°\nB: 15°\nC: ... | [
"mulberry_images/geoqa_plus/5044.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195019 | [
{
"from": "user",
"value": "<image>As shown in the figure, triangle ABC is depicted with DE parallel to BC. In this scenario, if AD measures 1.0 unit and BD is 2.0 units, what is the ratio between DE and BC?\nChoices:\nA: \\frac{1}{2}\nB: \\frac{1}{3}\nC: \\frac{1}{4}\nD: \\frac{2}{3}"
},
{
"from": ... | [
"mulberry_images/geoqa_plus/7397.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195020 | [
{
"from": "user",
"value": "<image>What is the length of the chord that passes through point P in circle O, if the distance from point P to the center of the circle is 6.0 and the radius measures 10.0?\nChoices:\nA: 16\nB: 17\nC: 17.5\nD: 20"
},
{
"from": "assistant",
"value": "<think> Okay, let... | [
"mulberry_images/geoqa_plus/609.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195021 | [
{
"from": "user",
"value": "<image>In the figure, chords AB and AC intersect circle O at points E and F respectively. The distances between E and F are 3.5 units. What is the length of BC?\nChoices:\nA: 3.5\nB: 7\nC: 10.5\nD: 9"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. There'... | [
"mulberry_images/geoqa_plus/5113.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195022 | [
{
"from": "user",
"value": "<image>Triangle ABC is illustrated in the accompanying figure. The measure of angle ABC is provided as 70.0 degrees, while angle ACB measures 60.0 degrees. Additionally, it is known that line segment BE is perpendicular to line segment AC at point E, and line segment CF is perpen... | [
"mulberry_images/geoqa_plus/757.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195023 | [
{
"from": "user",
"value": "<image>In the diagram, triangle ABC is inscribed in circle O, with O being the center of the circle, and the radius of circle O is 2. If angle ACB measures 45°, what is the length of side AB? Let's represent the length of side AB as 'x'.\nChoices:\nA: 2\nB: √{2}\nC: 4\nD: 2√{2}"
... | [
"mulberry_images/geoqa_plus/10174.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195024 | [
{
"from": "user",
"value": "<image>If AB measures 2.0 and BC measures 3.0, and lines l_{1.0}, l_{2.0}, and l_{3.0} are parallel, what is the length of DE if DF measures 4.0?\nChoices:\nA: \\frac{4}{3}\nB: \\frac{5}{4}\nC: \\frac{8}{5}\nD: 2"
},
{
"from": "assistant",
"value": "<think> Okay, let'... | [
"mulberry_images/geoqa_plus/4683.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195025 | [
{
"from": "user",
"value": "<image>When the central angle of a sector in a circle with a radius of 1.0 is 120.0 degrees, what is the area of the sector?\nChoices:\nA: \\frac{1}{3}\nB: \\frac{1}{2}\nC: \\frac{1}{3}π\nD: \\frac{1}{2}π"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to... | [
"mulberry_images/geoqa_plus/6732.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195026 | [
{
"from": "user",
"value": "<image>In triangle ABC, as depicted in the figure, it is shown that DE is parallel to BC. With the ratio of AD to DB being 1:2 and DE measuring 2.0, what is the length of BC?\nChoices:\nA: 4\nB: 6\nC: 12\nD: 18"
},
{
"from": "assistant",
"value": "<think> Okay, let's ... | [
"mulberry_images/geoqa_plus/7674.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195027 | [
{
"from": "user",
"value": "<image>Given the figure showcasing a slope with a ratio of 1.0:2.0, and a requirement of a horizontal distance of 6.0 units between two adjacent trees (AC), what is the slope distance AB between these trees?\nChoices:\nA: 3米\nB: 3√{5}米\nC: 6√{5}米\nD: 6米"
},
{
"from": "ass... | [
"mulberry_images/geoqa_plus/7325.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195028 | [
{
"from": "user",
"value": "<image>Given the figure, a wooden wedge is driven into the bottom of a wooden pile from the bottom end point P in the horizontal direction, forming a right triangle ABC. The inclined surface of the wedge has an inclination angle of 15.0. If the wedge moves horizontally by 6.0 uni... | [
"mulberry_images/geoqa_plus/7338.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195029 | [
{
"from": "user",
"value": "<image>As shown in the figure, in triangle ABC, angle ACB = 90.0, AC = AN, BC = BM, then angle MCN = ()\nChoices:\nA: 30°\nB: 45°\nC: 60°\nD: 55°"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find the measure of angle MCN in this right triangle ABC w... | [
"mulberry_images/geoqa_plus/5988.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195030 | [
{
"from": "user",
"value": "<image>In circle O with radii OA and OB perpendicular to each other, point C moves clockwise on the arc AB, with CD perpendicular to OA and CE perpendicular to OB. Given that CG=frac {1.0}{3.0}CE, CH=frac {1.0}{3.0}CD, and the radius of circle O is 6.0, what is the length of GH a... | [
"mulberry_images/geoqa_plus/7588.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195031 | [
{
"from": "user",
"value": "<image>If circle O has AB as its diameter and points C and D are located on the circle, what is the degree measure of angle CDB if the angle AOC is 126.0?\nChoices:\nA: 27°\nB: 37°\nC: 54°\nD: 64°"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find th... | [
"mulberry_images/geoqa_plus/5492.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195032 | [
{
"from": "user",
"value": "<image>In the figure provided, triangle ABC is portrayed with segment DE running parallel to BC. Given that the ratio of AD to DB is 1:3 and the length of DE is 6.0 units, what would be the length of BC?\nChoices:\nA: 30\nB: 24\nC: 18\nD: 12"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/7238.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195033 | [
{
"from": "user",
"value": "<image>If angle ABC in parallelogram ABCD measures 45.0 degrees, and points E and F are on the extended lines of CD and BC, with AE parallel to BD, EF perpendicular to BC, and AB equal to 1.0, what is the length of EF?\nChoices:\nA: 1.5\nB: √{2}\nC: √{3}\nD: 2"
},
{
"from... | [
"mulberry_images/geoqa_plus/5716.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195034 | [
{
"from": "user",
"value": "<image>Triangle ABC has points D and E on its edges AB and AC respectively, with DE being parallel to BC. If AD = 2.0, DB = 4.0, and the perimeter of triangle ADE is 10.0, what is the perimeter of triangle ABC?\nChoices:\nA: 15cm\nB: 20cm\nC: 30cm\nD: 36cm"
},
{
"from": "... | [
"mulberry_images/geoqa_plus/8008.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195035 | [
{
"from": "user",
"value": "<image>In the figure provided, circle O is depicted, and its radius is represented by OA. Chord BC is positioned at a right angle to OA, and point D lies on circle O. Given that angle ADC measures 26.0 degrees, what is the degree measurement for angle AOB?\nChoices:\nA: 13°\nB: 2... | [
"mulberry_images/geoqa_plus/208.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195036 | [
{
"from": "user",
"value": "<image>In parallelogram ABCD shown in the figure, with point E lying on side AB and the lines CE and BD intersecting at point F, if the ratio of AE to BE is 2:1 and BF measures 2 units, what is the length, in units, of line segment DF?\nChoices:\nA: 4\nB: 3\nC: 4\nD: 6"
},
{
... | [
"mulberry_images/geoqa_plus/7256.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195037 | [
{
"from": "user",
"value": "<image>How much should the notch intercept in the angle steel be in order to form a steel frame with a 120.0 degree angle when bent?\nChoices:\nA: 45°\nB: 60°\nC: 90°\nD: 120°"
},
{
"from": "assistant",
"value": "<think> Okay, so the problem is about an angle steel pi... | [
"mulberry_images/geoqa_plus/5348.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195038 | [
{
"from": "user",
"value": "<image>In square ABCD, if point G is the midpoint of side CD, the extension of line AG intersects side BC at point E, and the diagonal BD intersects AG at point F, and AF is 2.0, what is the length of line AE?\nChoices:\nA: 4\nB: 6\nC: 8\nD: 10"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/7131.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195039 | [
{
"from": "user",
"value": "<image>Let's consider the figure where straight lines AB and CD intersect at point O. Angle EOC measures 70 degrees and OA bisects angle EOC. What is the degree measurement of angle BOE?\nChoices:\nA: 145°\nB: 135°\nC: 35°\nD: 120°"
},
{
"from": "assistant",
"value": ... | [
"mulberry_images/geoqa_plus/660.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195040 | [
{
"from": "user",
"value": "<image>When the central angle of a sector is 60.0 degrees and the chord AB measures 4.0 units, what is the area enclosed by the sector?\nChoices:\nA: 2π\nB: \\frac{8}{3}π\nC: 2√{3}π\nD: 6π"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem is ab... | [
"mulberry_images/geoqa_plus/6577.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195041 | [
{
"from": "user",
"value": "<image>If the angle ACB measures 30 degrees and CD measures 36.0, what is the height of the flagpole AB when angle ACD equals angle ACB, with DA perpendicular to AC at point A?\nChoices:\nA: 9m\nB: 18m\nC: 36m\nD: 72m"
},
{
"from": "assistant",
"value": "<think> Okay,... | [
"mulberry_images/geoqa_plus/5887.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195042 | [
{
"from": "user",
"value": "<image>How can the area of a sector in a circle with a radius of 1.0 be calculated when the central angle measures 120.0 degrees?\nChoices:\nA: \\frac{1}{3}\nB: \\frac{1}{2}\nC: \\frac{1}{3}π\nD: \\frac{1}{2}π"
},
{
"from": "assistant",
"value": "<think> Okay, let me ... | [
"mulberry_images/geoqa_plus/6732.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195043 | [
{
"from": "user",
"value": "<image>If angle BAC in Rttriangle ABC measures 90 degrees, and Rttriangle ABC is rotated 48 degrees anticlockwise around point C to create Rttriangle A'B'C, with point A lying on B'C, what is the size of angle B'?\nChoices:\nA: 42°\nB: 48°\nC: 52°\nD: 58°"
},
{
"from": "a... | [
"mulberry_images/geoqa_plus/613.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195044 | [
{
"from": "user",
"value": "<image>Given the figure with quadrilateral ABCD, the circle inscribed within it has its two opposite sides extended to intersect at points E and F. If angle A is measured at 55.0 degrees and angle E at 30.0 degrees, what will be the degree measure of angle F?\nChoices:\nA: 25°\nB... | [
"mulberry_images/geoqa_plus/528.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195045 | [
{
"from": "user",
"value": "<image>In the figure depicting an isosceles right triangle and a ruler, if angle 1 measures 30.0 degrees, what is the degree measure of angle 2?\nChoices:\nA: 45°\nB: 30°\nC: 20°\nD: 15°"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to visualize this. W... | [
"mulberry_images/geoqa_plus/557.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195046 | [
{
"from": "user",
"value": "<image>If the figure illustrates an inscribed quadrilateral ABCD within circle O, with AB as the diameter and angle BCD measuring 120.0 degrees, what is the measure of angle ADP when the tangent line PD intersects line AB at the point P?\nChoices:\nA: 40°\nB: 35°\nC: 30°\nD: 45°"... | [
"mulberry_images/geoqa_plus/543.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195047 | [
{
"from": "user",
"value": "<image>In the given cuboid with length 5.0, width 3.0, and height 12.0, and a 2.0 distance between point B and point C, what is the shortest distance required for an ant to crawl along the cuboid's surface from point A to point B?\nChoices:\nA: √{119}\nB: 13\nC: √{5}+12\nD: 15"
... | [
"mulberry_images/geoqa_plus/5907.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195048 | [
{
"from": "user",
"value": "<image>Given that line l is parallel to line n, and line a intersects l and n at points A, B, and C, and a new line b is drawn crossing point B and intersecting lines l and n at points D and E, and AB = 2.0, BC = 1.0, and BD = 3.0, what does BE measure?\nChoices:\nA: 4\nB: 2\nC: ... | [
"mulberry_images/geoqa_plus/4688.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195049 | [
{
"from": "user",
"value": "<image>The figure illustrates two parallelograms, ABCD and BCFE, which are symmetric with respect to the line where BC is positioned. If angle ABE measures 86.0 degrees, what is the measure of angle E?\nChoices:\nA: 137°\nB: 104°\nC: 94°\nD: 86°"
},
{
"from": "assistant",... | [
"mulberry_images/geoqa_plus/5655.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195050 | [
{
"from": "user",
"value": "<image>In the provided figure, triangle ABC is illustrated with DE parallel to BC. If the lengths of AD and BD are measured as 1.0 unit and 2.0 units respectively, what is the fraction of DE compared to BC?\nChoices:\nA: \\frac{1}{2}\nB: \\frac{1}{3}\nC: \\frac{1}{4}\nD: \\frac{2... | [
"mulberry_images/geoqa_plus/7397.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195051 | [
{
"from": "user",
"value": "<image>Triangle ABC is illustrated in the figure, with DE running parallel to BC. If AD is 1/3 the length of AB and BC measures 12.0cm, what is the length of DE?\nChoices:\nA: 12cm\nB: 6cm\nC: 4cm\nD: 3cm"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. T... | [
"mulberry_images/geoqa_plus/7252.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195052 | [
{
"from": "user",
"value": "<image>In the given figure, point O is the center of the circumscribed circle of triangle ABC. When OB is connected, what is the measure of angle 2 if angle 1 is 37.0 degrees?\nChoices:\nA: 52°\nB: 51°\nC: 53°\nD: 50°"
},
{
"from": "assistant",
"value": "<think> Okay,... | [
"mulberry_images/geoqa_plus/622.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195053 | [
{
"from": "user",
"value": "<image>In triangle ABC, with right angle at C, AC measures 3 units and BC measures 2 units. A square is constructed on the exterior of the triangle with AB as one of its sides. Determine the area of the square in terms of its side length, denoted as x.\nChoices:\nA: 5\nB: 6\nC: 1... | [
"mulberry_images/geoqa_plus/11428.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195054 | [
{
"from": "user",
"value": "<image>In the given diagram, triangle ABC is circumscribed within circle O, where CD represents the diameter of the circle. If angle ABC measures 20°, find the degree measure of angle ACD. Let the measure of angle ACD be denoted as θ.\nChoices:\nA: 40°\nB: 50°\nC: 60°\nD: 70°"
... | [
"mulberry_images/geoqa_plus/10223.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195055 | [
{
"from": "user",
"value": "<image>Consider triangle ABC where points D and E are labeled as the midpoint of segment AB and the foot of the perpendicular from point B to segment AC, respectively. What is the length of segment BE in this triangle if segment DE is determined to be 4 units and segment AE measu... | [
"mulberry_images/geoqa_plus/12855.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195056 | [
{
"from": "user",
"value": "<image>Given the parallelogram ABCD, as shown in the diagram, which has AB equal to 5 units and AC equal to 6 units, point D forms a perpendicular with BA and intersects the extended line at point E. What is the length of segment DE?\nChoices:\nA: 2.4\nB: 3.6\nC: 4\nD: 4.8"
},
... | [
"mulberry_images/geoqa_plus/12821.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195057 | [
{
"from": "user",
"value": "<image>In parallelogram ABCD, it is given that the diagonal AC measures 3 units. If the perimeter of triangle ABC is 11 units, what is the perimeter of the parallelogram?\nChoices:\nA: 6cm\nB: 12cm\nC: 16cm\nD: 11cm"
},
{
"from": "assistant",
"value": "<think> Okay, l... | [
"mulberry_images/geoqa_plus/12365.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195058 | [
{
"from": "user",
"value": "<image>Given that the angle ACD is 60.0 degrees and the projection CD of the terminal part AB of a telephone pole under the sun is 1.0, what is the length of AB as depicted in the figure?\nChoices:\nA: \\frac{1}{2}米\nB: √{3}米\nC: \\frac{√{3}}{2}米\nD: \\frac{√{3}}{3}米"
},
{
... | [
"mulberry_images/geoqa_plus/8051.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195059 | [
{
"from": "user",
"value": "<image>What is the distance from the chord AB to the center OE in the figure, when the radius of circle O is 2.0 and the length of chord AB is 2.0√{3.0}?\nChoices:\nA: \\frac{1}{2}\nB: √{3}\nC: 1\nD: √{2}"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. T... | [
"mulberry_images/geoqa_plus/5216.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195060 | [
{
"from": "user",
"value": "<image>In the provided diagram, the known straight lines a, b, and c are parallel, and they intersect with line n at points A, C, E, B, D, F. If AC measures 8.0, CE measures 12.0, and BD measures 6.0, what is the value of BF?\nChoices:\nA: 14\nB: 15\nC: 16\nD: 17"
},
{
"f... | [
"mulberry_images/geoqa_plus/5527.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195061 | [
{
"from": "user",
"value": "<image>Consider the figure given, where circle O has the chord CD, and the diameter AB intersects CD at its midpoint. Given that angle BOC is 40.0 degrees, what is the degree measure of angle ABD?\nChoices:\nA: 80°\nB: 70°\nC: 60°\nD: 50°"
},
{
"from": "assistant",
"v... | [
"mulberry_images/geoqa_plus/5100.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195062 | [
{
"from": "user",
"value": "<image>What is the degree measure of angle AOB if angle ACB equals 30 degrees and points A, B, and C lie on circle O according to the provided figure?\nChoices:\nA: 75°\nB: 60°\nC: 45°\nD: 30°"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find the me... | [
"mulberry_images/geoqa_plus/769.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195063 | [
{
"from": "user",
"value": "<image>If the central angle of a sector is 60.0 degrees and the chord AB measures 4.0 units, what is the area of the sector?\nChoices:\nA: 2π\nB: \\frac{8}{3}π\nC: 2√{3}π\nD: 6π"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem is about finding... | [
"mulberry_images/geoqa_plus/6577.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195064 | [
{
"from": "user",
"value": "<image>Given a slope angle of 30.0 and a horizontal distance AC of 2.0 between two trees, what is the slope distance AB between the trees?\nChoices:\nA: 4m\nB: √{3}\nC: \\frac{4√{3}}{3}m\nD: 4√{3}m"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find t... | [
"mulberry_images/geoqa_plus/8061.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195065 | [
{
"from": "user",
"value": "<image>If in the provided diagram, line segment AB acts as the diameter of circle O and chord CD is perpendicular to AB, with angle CAB measuring 30.0 degrees and OD measuring 2.0 units, what is the magnitude of DC?\nChoices:\nA: 2\nB: 4\nC: √{3}\nD: 2√{3}"
},
{
"from": "... | [
"mulberry_images/geoqa_plus/1798.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195066 | [
{
"from": "user",
"value": "<image>If in a parallelogram ABCD, points E and F are on the extended lines of CD and BC, AE is parallel to BD, and EF is perpendicular to BF, and angle ABC measures 60.0 degrees with EF measuring 3.0 units, what is the length of AB?\nChoices:\nA: \\frac{2}{3}\nB: 1\nC: \\frac{3}... | [
"mulberry_images/geoqa_plus/5743.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195067 | [
{
"from": "user",
"value": "<image>In the figure, vertices A, B, and C are located on a circle O, and angle AOC measures 120.0 degrees. Calculate the measure of angle ABC.\nChoices:\nA: 50°\nB: 60°\nC: 65°\nD: 70°"
},
{
"from": "assistant",
"value": "<think> Okay, so there's a circle with center... | [
"mulberry_images/geoqa_plus/8626.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195068 | [
{
"from": "user",
"value": "<image>When considering the situation of two points, A and B, situated at the ends of a pond, Xiaoming attempts to measure the distance between them using a rope. As the rope is too short, he introduces points C, D, and E, with specific lengths assigned to CD and CE as fractions ... | [
"mulberry_images/geoqa_plus/2467.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195069 | [
{
"from": "user",
"value": "<image>Determine the length of chord AB in circle O, where the radius is 3.0, point P lies on the extension of chord AB, angle APO measures 30.0 degrees, and the length of OP is 4.0.\nChoices:\nA: 2√{5}\nB: √{5}\nC: 2√{13}\nD: √{13}"
},
{
"from": "assistant",
"value":... | [
"mulberry_images/geoqa_plus/5165.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195070 | [
{
"from": "user",
"value": "<image>With the depression angles of points A and B from point C measured as 60.0 and 30.0 respectively, and the distance from point C to the water surface being 8.0, what is the width AB of the water surface?\nChoices:\nA: √{3}\nB: \\frac{8√{3}}{3}\nC: \\frac{16√{3}}{3}\nD: 8√{3... | [
"mulberry_images/geoqa_plus/8291.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195071 | [
{
"from": "user",
"value": "<image>Given that two students from Class A and B of Grade 9 are standing at points C and D respectively during a physical education class, with the shadow of student B being entirely within the shadow of student A, what is the length of student A's shadow? The distance between t... | [
"mulberry_images/geoqa_plus/2355.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195072 | [
{
"from": "user",
"value": "<image>Given the figure of a right triangle ABC, where AD is the bisector of angle BAC and DE is a perpendicular line to AB, with E being the foot of the perpendicular, if the lengths of AB and AC are 10.0 units and 6.0 units respectively, what is the length of BE?\nChoices:\nA: ... | [
"mulberry_images/geoqa_plus/749.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195073 | [
{
"from": "user",
"value": "<image>Given a cylindrical container with a diameter of 26cm and a maximum water depth of 8cm, what is the width of the water surface AB? Represent the width of the water surface as 'w'.\nChoices:\nA: 12cm\nB: 18cm\nC: 20cm\nD: 24cm"
},
{
"from": "assistant",
"value":... | [
"mulberry_images/geoqa_plus/12210.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195074 | [
{
"from": "user",
"value": "<image>Given the parallelogram ABCD and diagonal line AC intersecting at point O, where AO measures 1.5 units and the perimeter of triangle ABC is 8 units, what is the perimeter of parallelogram ABCD? Represent the perimeter as 'P'.\nChoices:\nA: 5cm\nB: 10cm\nC: 16cm\nD: 11cm"
... | [
"mulberry_images/geoqa_plus/12412.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195075 | [
{
"from": "user",
"value": "<image>Given that the area of triangle ABC is 4.0 and triangles ABC and AʹBʹCʹ are similar with the center of similarity at point O, and the coordinates of point A are (-1.0, 2.0) while A′ is located at (2.0,-4.0), what is the area of triangle AʹBʹCʹ?\nChoices:\nA: 2\nB: 4\nC: 8\... | [
"mulberry_images/geoqa_plus/5587.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195076 | [
{
"from": "user",
"value": "<image>Triangle ABC is depicted in the provided figure. It is given that angle ABC measures 70.0 degrees and angle ACB measures 60.0 degrees. Within the triangle, line segment BE is perpendicular to line segment AC at point E, and line segment CF is perpendicular to line segment ... | [
"mulberry_images/geoqa_plus/757.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195077 | [
{
"from": "user",
"value": "<image>In the provided figure, Rttriangle ABC has a right angle at C, and D is a point located on the side AC, where AB measures 5.0 and AC measures 4.0. If triangle ABC is similar to triangle BDC, what is the length of CD?\nChoices:\nA: 2\nB: \\frac{3}{2}\nC: \\frac{4}{3}\nD: \\... | [
"mulberry_images/geoqa_plus/4800.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195078 | [
{
"from": "user",
"value": "<image>In the given figure, let AB be the diameter of the circle O, and angle BOC measure 50.0 degrees. What is the measure of angle D? Represent the measure of angle D as θ.\nChoices:\nA: 65°\nB: 25°\nC: 15°\nD: 35°"
},
{
"from": "assistant",
"value": "<think> Okay, ... | [
"mulberry_images/geoqa_plus/9752.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195079 | [
{
"from": "user",
"value": "<image>When planning a road from Village A along the direction 75.0 to the east by north to Village B, and from Village B along the direction 25.0 to the west by north to Village C, what would be the degree of clockwise rotation required to maintain the direction of road CE from ... | [
"mulberry_images/geoqa_plus/5355.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195080 | [
{
"from": "user",
"value": "<image>If the sector has a central angle of 60.0 and the chord AB measures 6.0, what would be the area of the sector?\nChoices:\nA: π\nB: √{3}π\nC: 6π\nD: 12π"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem is about finding the area of a sect... | [
"mulberry_images/geoqa_plus/6680.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.