id stringlengths 29 36 | conversations listlengths 1 48 | images listlengths 1 1 | source_dataset stringclasses 2
values |
|---|---|---|---|
vision_r1_mulberry_sft_full-195181 | [
{
"from": "user",
"value": "<image>If in the quadrilateral ABCD, AB equals AD, and the symmetry point B′ of B with respect to AC happens to fall on CD, and angle BAD is 110.0 degrees, then what is the degree measure of angle ACB in the figure?\nChoices:\nA: 40°\nB: 35°\nC: 60°\nD: 70°"
},
{
"from": ... | [
"mulberry_images/geoqa_plus/5665.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195182 | [
{
"from": "user",
"value": "<image>When the aerial drone measured the elevation angle of the top B of a building from point A at 30.0 degrees and the depression angle of the bottom C at 60.0 degrees, with a known horizontal distance AD of 90.0, what is the estimated height of the building BC?\nChoices:\nA: ... | [
"mulberry_images/geoqa_plus/8180.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195183 | [
{
"from": "user",
"value": "<image>Given a diagram depicting circle O with points A and D on its circumference, and a diameter BC, if the measure of angle D is 34.0 degrees, what is the measure of angle OAC?\nChoices:\nA: 68°\nB: 58°\nC: 72°\nD: 56°"
},
{
"from": "assistant",
"value": "<think> O... | [
"mulberry_images/geoqa_plus/1919.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195184 | [
{
"from": "user",
"value": "<image>Given a cone with a generatrix length of 'L' units (L = 2.0) and a base radius of 'R' units (R = 1.0), express the lateral area of the cone using 'L' and 'R'.\nChoices:\nA: 4π\nB: 2π\nC: π\nD: \\frac{1}{2}π"
},
{
"from": "assistant",
"value": "<think> Okay, so ... | [
"mulberry_images/geoqa_plus/2178.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195185 | [
{
"from": "user",
"value": "<image>In the given figure, point P is a point on circle O. If the distance from point P to the center of the circle is 6.0 and the radius is 10.0, what is the length of the chord passing through point P?\nChoices:\nA: 16\nB: 17\nC: 17.5\nD: 20"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/609.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195186 | [
{
"from": "user",
"value": "<image>Given that the triangles ACD and ABD are axisymmetric about the line where AD is located, and the collinear points B, D, and C are shown in the figure, with AC measuring 3.0 and BD measuring 2.0, what is the perimeter of triangle ABC?\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-195187 | [
{
"from": "user",
"value": "<image>In the given figure, let AB be the diameter of circle O, and C and D be points on circle O, where C is the midpoint of the arc BAD. Through points C and D, draw lines intersecting AB at point F. If angle ABC measures 20°, what is the measure of angle AOD?\nChoices:\nA: 95°... | [
"mulberry_images/geoqa_plus/10120.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195188 | [
{
"from": "user",
"value": "<image>If in the diagram of right triangle ABC, where angle ACB measures 90.0 degrees and angle A measures 50.0 degrees, the triangle is folded in a way that point A lands on edge CB at point A', and the fold is named CD, what is the degree measurement of angle A'DB?\nChoices:\nA... | [
"mulberry_images/geoqa_plus/1435.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195189 | [
{
"from": "user",
"value": "<image>In the provided diagram, circle O has a radius of 4.0 and point P is located on the extended line of chord AB. If OP is measured as 6.0 and angle APO is measured at 30.0 degrees, what is the length of chord AB?\nChoices:\nA: √{7}\nB: 2√{7}\nC: 5\nD: 10"
},
{
"from"... | [
"mulberry_images/geoqa_plus/5102.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195190 | [
{
"from": "user",
"value": "<image>If D and E are located on the sides AB and AC of triangle ABC, with DE being parallel to BC, and if AD = 2.0, DB = 4.0, and the perimeter of triangle ADE is 10.0, then 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-195191 | [
{
"from": "user",
"value": "<image>Given that the bottom radius of the cone is 6.0 and the height is 8.0, what is the central angle of the expanded figure of the cone's lateral surface?\nChoices:\nA: 120°\nB: 180°\nC: 216°\nD: 236°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. Th... | [
"mulberry_images/geoqa_plus/2130.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195192 | [
{
"from": "user",
"value": "<image>Xiaoming crafted a cone-shaped paper funnel with a base diameter of 12cm and a height of 8cm. What is the lateral surface area of this cone-shaped funnel? Express the lateral surface area as a variable 'A'.\nChoices:\nA: 30cm2\nB: 36πcm2\nC: 60πcm2\nD: 120cm2"
},
{
... | [
"mulberry_images/geoqa_plus/11699.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195193 | [
{
"from": "user",
"value": "<image>As depicted in the figure, circle O includes chord AB with a measurement of 10.0 units. Point C moves along circle O, and angle C is measured at 45.0 degrees. If M and N are the midpoints of chords AB and AC respectively, what is the maximum possible length of MN?\nChoices... | [
"mulberry_images/geoqa_plus/1958.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195194 | [
{
"from": "user",
"value": "<image>If the intersection of AC and BD occurs at point E, and AD is parallel to BC, and AE, CE, and AD measure 2.0, 3.0, and 3.0 respectively, what is the length of BC?\nChoices:\nA: 2\nB: 3\nC: 4\nD: 4.5"
},
{
"from": "assistant",
"value": "<think> Okay, so I have t... | [
"mulberry_images/geoqa_plus/7524.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195195 | [
{
"from": "user",
"value": "<image>Assuming the aerial drone measured the elevation angle of the top B of a building from point A at 30.0 degrees and the depression angle of the bottom C at 60.0 degrees, with a known horizontal distance AD of 90.0, what is the probable height of the building BC?\nChoices:\n... | [
"mulberry_images/geoqa_plus/8180.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195196 | [
{
"from": "user",
"value": "<image>Given that the lines l_{1.0}, l_{2.0}, and l_{3.0} are parallel and intersect at points A, B, and C in the figure, and that the line DF intersects l_{1.0}, l_{2.0}, and l_{3.0} at points D, E, and F, with AC and DF intersecting at point H, what would be the ratio EF/DE if ... | [
"mulberry_images/geoqa_plus/4517.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195197 | [
{
"from": "user",
"value": "<image>Given a figure showing semicircle O with diameter CD, and chord AB running parallel to CD, with CD measuring 6.0 units and angle ADB measuring 30.0 degrees, what is the area of the shaded portion?\nChoices:\nA: π\nB: \\frac{3π}{2}\nC: 3π\nD: 6π"
},
{
"from": "assis... | [
"mulberry_images/geoqa_plus/1966.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195198 | [
{
"from": "user",
"value": "<image>As shown in the figure, AB is the diameter of circle O, point D is on the extended line of AB, and DC tangent circle O to point C, if angle A = 30.0, OA = 2.0, then OD = ()\nChoices:\nA: 2\nB: 2.1\nC: 3\nD: 4"
},
{
"from": "assistant",
"value": "<think> Okay, l... | [
"mulberry_images/geoqa_plus/8418.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195199 | [
{
"from": "user",
"value": "<image>In parallelogram ABCD shown in the figure, point F lies on the edge AB. The ratio of AF to BF is 3 to 4. The extended ray CF intersects the extended line of DA at point E. If the length of AD is 8.0, what is the length of AE?\nChoices:\nA: 4\nB: 5\nC: 6\nD: 7"
},
{
... | [
"mulberry_images/geoqa_plus/7237.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195200 | [
{
"from": "user",
"value": "<image>Consider a circle O with radii OA and OB, and angle AOB measures 100°. A point C lies on circle O. Determine the degree measure of angle ACB and represent it as 'θ'.\nChoices:\nA: 45°\nB: 35°\nC: 60°\nD: 50°"
},
{
"from": "assistant",
"value": "<think> Okay, le... | [
"mulberry_images/geoqa_plus/10365.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195201 | [
{
"from": "user",
"value": "<image>Given a cone with the base radius 'r' units (r = 3.0) and the generatrix length 'g' units (g = 4.0), what is the lateral area 'L' units of the cone?\nChoices:\nA: 24π\nB: 12π\nC: 6π\nD: 12"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find the... | [
"mulberry_images/geoqa_plus/2222.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195202 | [
{
"from": "user",
"value": "<image>What is the degree measure of angle A if angle BOC measures 70.0 degrees and points A, B, and C are placed on circle O according to the given figure?\nChoices:\nA: 35°\nB: 45°\nC: 40°\nD: 70°"
},
{
"from": "assistant",
"value": "<think> Okay, let's tackle this ... | [
"mulberry_images/geoqa_plus/818.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195203 | [
{
"from": "user",
"value": "<image>In triangle ABC, with AB measuring 4.0 units and MN measuring 2.8 units, if M is the midpoint of side BC and AN bisects the exterior angle of triangle ABC, with BN intersecting AN at point N, what is the length of the side opposite to angle B?\nChoices:\nA: 1.2\nB: 1.4\nC:... | [
"mulberry_images/geoqa_plus/4982.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195204 | [
{
"from": "user",
"value": "<image>Given that angle CAB represents the circumferential angle of circle O, denoted as θ, where θ = 50.0°, what is the measure of the central angle angle BOC?\nChoices:\nA: 40°\nB: 50°\nC: 80°\nD: 100°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. Th... | [
"mulberry_images/geoqa_plus/1724.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195205 | [
{
"from": "user",
"value": "<image>In triangle ABC with sides AB = 10.0, AC = 10.0, and BC = 12.0, what is the value of sinB?\nChoices:\nA: \\frac{4}{5}\nB: \\frac{3}{5}\nC: \\frac{4}{3}\nD: \\frac{3}{4}"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find sinB in this isosceles ... | [
"mulberry_images/geoqa_plus/5539.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195206 | [
{
"from": "user",
"value": "<image>If point P is a fixed point located outside the line l, while point A is a fixed point on the line l, and the line l is rotated clockwise around point A by 30 degrees to form the line l', resulting in points P~2.0~ and P being symmetric with respect to the line l', what is... | [
"mulberry_images/geoqa_plus/5674.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195207 | [
{
"from": "user",
"value": "<image>If the pentagon ABCDE possesses symmetry with line l passing through point A, and the angle measures of DAE and ADE are 40.0 and 60.0 degrees respectively, what is the degree measure of angle B?\nChoices:\nA: 60°\nB: 40°\nC: 80°\nD: 100°"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/5664.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195208 | [
{
"from": "user",
"value": "<image>If it is shown that line l is parallel to line n, with line a intersecting 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, then what is the value of BE?\nChoic... | [
"mulberry_images/geoqa_plus/4688.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195209 | [
{
"from": "user",
"value": "<image>Suppose in the given figure, circle O is illustrated, and chord AB is marked with a length of 10.0 units. Point C moves on the circumference of circle O, and angle C is measured at 45.0 degrees. If M and N are midpoints of chords AB and AC respectively, what is the maximum... | [
"mulberry_images/geoqa_plus/1958.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195210 | [
{
"from": "user",
"value": "<image>Knowing that the length of an escalator in a shopping mall is 10.0 and it reaches a height of 6.0, what is the value of tanθ, representing the angle between the escalator and the ground?\nChoices:\nA: \\frac{3}{4}\nB: \\frac{4}{3}\nC: \\frac{3}{5}\nD: \\frac{4}{5}"
},
... | [
"mulberry_images/geoqa_plus/8041.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195211 | [
{
"from": "user",
"value": "<image>If a figure depicts an inscribed quadrilateral ABCD within circle O, where AB is the diameter, and angle BCD measures 120.0 degrees, what would be the degree measurement of angle ADP if the tangent line PD passes through point D and intersects with line AB at point P?\nCho... | [
"mulberry_images/geoqa_plus/543.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195212 | [
{
"from": "user",
"value": "<image>Given the parallelogram ABCD, where E is located on the side AD and line CE is extended to intersect the extended line of BA at point F, if AE equals 2 times the length of ED and CD equals 3.0, what is the length of AF?\nChoices:\nA: 5cm\nB: 6cm\nC: 7cm\nD: 8cm"
},
{
... | [
"mulberry_images/geoqa_plus/8035.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195213 | [
{
"from": "user",
"value": "<image>In the diagram, circle O represents the circumcircle of triangle ABC. If the measure of angle AOB is 100.0 degrees, what is the measure of angle ACB? Let's denote the measure of angle ACB as ϕ.\nChoices:\nA: 40°\nB: 50°\nC: 60°\nD: 80°"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/8484.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195214 | [
{
"from": "user",
"value": "<image>In the given diagram, triangle ABC is inscribed in circle O, where EC is the tangent to circle O at point C. If angle BOC measures 76.0 degrees, what is the measure of angle BCE? Represent the measure of angle BCE as 'θ'.\nChoices:\nA: 14°\nB: 38°\nC: 52°\nD: 76°"
},
{... | [
"mulberry_images/geoqa_plus/9910.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195215 | [
{
"from": "user",
"value": "<image>Triangle ABC is internally connected to circle O, with AB as the diameter and CD as the chord. If angle ADC measures 55.0 degrees, what is the measure of angle CAB?\nChoices:\nA: 25°\nB: 35°\nC: 36°\nD: 40°"
},
{
"from": "assistant",
"value": "<think> Okay, let... | [
"mulberry_images/geoqa_plus/5545.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195216 | [
{
"from": "user",
"value": "<image>What is the area of the sector formed by a central angle of 120.0 degrees in a circle with a radius of 1.0?\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's see. The problem... | [
"mulberry_images/geoqa_plus/6732.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195217 | [
{
"from": "user",
"value": "<image>As shown in the figure, the diagonal of parallelogram ABCD intersects at point O, and CD = 4.0, if the sum of its diagonals is 32.0, then the perimeter of triangle AOB is ()\nChoices:\nA: 18\nB: 20\nC: 22\nD: 24"
},
{
"from": "assistant",
"value": "<think> Okay... | [
"mulberry_images/geoqa_plus/9318.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195218 | [
{
"from": "user",
"value": "<image>In the figure provided, point A is positioned towards east by north 45.0 at point B and towards west by north 15.0 at point C. What is the degree value of angle BAC?\nChoices:\nA: 30°\nB: 45°\nC: 50°\nD: 60°"
},
{
"from": "assistant",
"value": "<think> Okay, le... | [
"mulberry_images/geoqa_plus/4953.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195219 | [
{
"from": "user",
"value": "<image>Considering the given figure showing triangle ABC, where vertices D and E are positioned on the edges AB and AC respectively, if the measure of angle AED matches that of angle B, and the lengths of AD, AE, and CE are known to be 2.0, 3.0, and 1.0 respectively, what would b... | [
"mulberry_images/geoqa_plus/7477.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195220 | [
{
"from": "user",
"value": "<image>In the figure, if the plant spacing for trees on flat ground is 4.0, and the hillside has a slope of 1.0:2.0, then what would be the distance between two adjacent trees on the hillside?\nChoices:\nA: 4m\nB: 2√{5}m\nC: \\frac{8√{3}}{3}m\nD: 8m"
},
{
"from": "assista... | [
"mulberry_images/geoqa_plus/5514.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195221 | [
{
"from": "user",
"value": "<image>In the figure illustrating triangle ABC, line DE is parallel to BC and intersects AB at point D and AC at point E. If the length of AD is 2.0 and DB is 4.0, what is the proportion of DE to BC?\nChoices:\nA: \\frac{2}{3}\nB: \\frac{1}{3}\nC: \\frac{3}{4}\nD: \\frac{3}{5}"
... | [
"mulberry_images/geoqa_plus/7556.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195222 | [
{
"from": "user",
"value": "<image>In a specific situation, the height of a building is determined by measuring a person's shadow length and the building's shadow length simultaneously, resulting in measurements of 0.5 units and 10.0 units respectively. If the person's height is 'a' units (a = 1.6), what is... | [
"mulberry_images/geoqa_plus/2406.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195223 | [
{
"from": "user",
"value": "<image>In parallelogram ABCD, with the diagonals intersecting at point O and CD measuring 4.0 units, if the sum of its diagonals is 32.0 units, what is the perimeter of triangle AOB? Denote the perimeter as 'P'.\nChoices:\nA: 18\nB: 20\nC: 22\nD: 24"
},
{
"from": "assista... | [
"mulberry_images/geoqa_plus/9318.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195224 | [
{
"from": "user",
"value": "<image>Consider the figure displaying a sector AOB with a radius of 2.0 units. The angle AOB is measured at 90.0 degrees. As point C moves on the arc AB, the vertical feet of the perpendiculars from point O to line segments BC and AC are labeled as D and E, respectively. Determin... | [
"mulberry_images/geoqa_plus/5105.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195225 | [
{
"from": "user",
"value": "<image>If the radius of the cross-sectional circle OB in the drainage pipe is 10.0 times the diameter and the width of the water surface AB is 16.0 times the diameter, what will be the depth of the water CD in the cross section?\nChoices:\nA: 3dm\nB: 4dm\nC: 5dm\nD: 6dm"
},
{... | [
"mulberry_images/geoqa_plus/5613.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195226 | [
{
"from": "user",
"value": "<image>Triangle ABC is illustrated in the figure, where AB and AC have a length of 2.0 units each. Circle O is constructed using AB as the diameter, and the intersection between BC and circle O occurs at point D. Point E is situated on circle O, with angle DEA measuring 30.0 degr... | [
"mulberry_images/geoqa_plus/1992.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195227 | [
{
"from": "user",
"value": "<image>In the given illustration, if 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?\nChoices:\nA: \\frac{1}{2}米\nB: √{3}米\nC: \\frac{√{3}}{2}米\nD: \\frac{√{3}}{3}米"
},
{
"from... | [
"mulberry_images/geoqa_plus/8051.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195228 | [
{
"from": "user",
"value": "<image>Assuming that triangle ABC is folded along line segment DE and the sum of angle 1 and angle 2 is 60.0, what would be the size of angle A?\nChoices:\nA: 20°\nB: 25°\nC: 30°\nD: 35°"
},
{
"from": "assistant",
"value": "<think> Okay, so the problem is about a tria... | [
"mulberry_images/geoqa_plus/5431.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195229 | [
{
"from": "user",
"value": "<image>Within the diagram illustrating triangle ABC, with BC measured at 6.0, and the midpoints of sides AB and AC denoted as E and F, a point P is movable on the radial EF. Upon the intersection of BP and CE at point D and the bisector of angle CBP intersecting CE at point Q, wi... | [
"mulberry_images/geoqa_plus/5935.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195230 | [
{
"from": "user",
"value": "<image>Given a diagram of rectangle ABCD, where the angle bisector of angle ADC intersects BC at point E, a right triangle is formed with its right angle vertex placed at E, one leg passing through A, and the other leg intersecting CD at point M. If DM measures 4 and DM is twice ... | [
"mulberry_images/geoqa_plus/12908.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195231 | [
{
"from": "user",
"value": "<image>In the diagram provided, triangle ABC is depicted with the inclusion of points D, E, and Q on the sides AB, AC, and BC respectively. It can be mentioned that DE is parallel to BC, and the point of intersection between AQ and DE is marked as P. If the ratio of DP to BQ is 3... | [
"mulberry_images/geoqa_plus/7374.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195232 | [
{
"from": "user",
"value": "<image>Let A, B, and C be three points on circle O. If angle ABC measures 60.0 degrees, what is the degree measure of angle AOC? Represent the measure of angle AOC as θ.\nChoices:\nA: 120°\nB: 100°\nC: 90°\nD: 60°"
},
{
"from": "assistant",
"value": "<think> Okay, let... | [
"mulberry_images/geoqa_plus/8454.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195233 | [
{
"from": "user",
"value": "<image>If in the figure, the lines l_{1.0}, l_{2.0}, and l_{3.0} are parallel and intersect at points A, B, and C, and the line DF intersects l_{1.0}, l_{2.0}, and l_{3.0} at points D, E, and F, with the intersection of AC and DF at point H, then what is the value of the ratio EF... | [
"mulberry_images/geoqa_plus/4517.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195234 | [
{
"from": "user",
"value": "<image>Given a sector with a central angle of 60.0 degrees and a chord AB of length 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 tackle this problem st... | [
"mulberry_images/geoqa_plus/6577.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195235 | [
{
"from": "user",
"value": "<image>When presented with the diagram showing circle O with AB as the diameter and CD as the chord, where AB is perpendicular to CD at E, and AB measures 10.0 with OE measuring 3.0, what would be the length of the chord CD?\nChoices:\nA: 4\nB: 8\nC: √{34}\nD: 2√{34}"
},
{
... | [
"mulberry_images/geoqa_plus/5182.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195236 | [
{
"from": "user",
"value": "<image>If in triangle ABC, DE is parallel to BC, and AD:AB=3:4, with AE equal to 6.0, what is the length of AC?\nChoices:\nA: 3\nB: 6\nC: 8\nD: 10"
},
{
"from": "assistant",
"value": "<think> Okay, so there's this triangle ABC, and inside it there's a smaller triangle... | [
"mulberry_images/geoqa_plus/7803.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195237 | [
{
"from": "user",
"value": "<image>In the figure provided, if angle B is 30.0 degrees and the horizontal length BC measures 30.0, what is the length of slope AB?\nChoices:\nA: 15米\nB: 15√{3}米\nC: 20√{3}米\nD: 60米"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find the length of t... | [
"mulberry_images/geoqa_plus/6772.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195238 | [
{
"from": "user",
"value": "<image>As shown in the diagram, circle O has chord AB with point C, where OC is perpendicular to AB. If angle ABC measures 20.0 degrees, what is the degree measure of angle BAO?\nChoices:\nA: 40°\nB: 45°\nC: 50°\nD: 55°"
},
{
"from": "assistant",
"value": "<think> Oka... | [
"mulberry_images/geoqa_plus/1830.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195239 | [
{
"from": "user",
"value": "<image>If a circle has a radius of 1.0 and forms a sector with a central angle of 120.0 degrees, what is the area of that 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 the ... | [
"mulberry_images/geoqa_plus/6732.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195240 | [
{
"from": "user",
"value": "<image>In the given figure, the short arm length of the railroad crossing is 1.0 unit and the long arm length is 16.0 units. Assuming the width of the rod is not considered, what is the relationship between the drop of the short arm end by 0.5 units and the ascent of the long arm... | [
"mulberry_images/geoqa_plus/2339.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195241 | [
{
"from": "user",
"value": "<image>In triangle ABC, the line DE is parallel to BC, with AD:AB=3:4 and AE measuring 6.0. What is the measurement of AC?\nChoices:\nA: 3\nB: 6\nC: 8\nD: 10"
},
{
"from": "assistant",
"value": "<think> Okay, so the problem is about triangle ABC with a line DE paralle... | [
"mulberry_images/geoqa_plus/7803.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195242 | [
{
"from": "user",
"value": "<image>Given that DE is parallel to BC in triangle ABC, where angle B is 60.0 degrees and angle AED is 45.0 degrees, what is the measure of angle A?\nChoices:\nA: 65°\nB: 75°\nC: 85°\nD: 95°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. I need to find ... | [
"mulberry_images/geoqa_plus/759.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195243 | [
{
"from": "user",
"value": "<image>When the sector OAB is rotated anticlockwise around point A, with a radius of 2.0 and a central angle of 120.0, so that the corresponding point D of point O falls on the arc ⌒AB and the corresponding point of point B is C, what will be the length of BC when connected?\nCho... | [
"mulberry_images/geoqa_plus/5617.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195244 | [
{
"from": "user",
"value": "<image>Two straight lines are intersected by three parallel lines as depicted in the figure. Given that AC = 4.0, CE = 6.0, and BD = 3.0, what is the value of BF?\nChoices:\nA: \\frac{3}{2}\nB: \\frac{2}{3}\nC: \\frac{9}{2}\nD: \\frac{15}{2}"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/5519.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195245 | [
{
"from": "user",
"value": "<image>Given a parallelogram ABCD with AD equal to 6.0, where point E is located on AD and DE measures 3.0, and if you were to connect BE and the diagonal AC intersects at point M, what value would frac AMMC have?\nChoices:\nA: \\frac{1}{2}\nB: \\frac{1}{3}\nC: \\frac{1}{4}\nD: \... | [
"mulberry_images/geoqa_plus/7992.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195246 | [
{
"from": "user",
"value": "<image>Provided that a rectangular piece of paper intersects the two sides of a right triangle at a right-angled vertex, and angle 2 measures 115.0 degrees, what is the degree measure of angle 1 if the right triangle has an angle measuring 30.0 degrees?\nChoices:\nA: 75°\nB: 85°\... | [
"mulberry_images/geoqa_plus/563.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195247 | [
{
"from": "user",
"value": "<image>Given that AB is parallel to CD in the figure provided, and P lies between AB and CD, if angle 1 is known to be 32.0 degrees and angle 2 is known to be 25.0 degrees, what is the measure of angle BPC?\nChoices:\nA: 57°\nB: 47°\nC: 58°\nD: 42°"
},
{
"from": "assistan... | [
"mulberry_images/geoqa_plus/721.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195248 | [
{
"from": "user",
"value": "<image>If triangle ABC in the given figure is rotated counterclockwise around point A by a certain angle, resulting in triangle ADE with point C falling on the line segment DE, and if angle B is measured at 40.0 degrees and angle CAE is measured at 60.0 degrees, what will be the ... | [
"mulberry_images/geoqa_plus/1303.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195249 | [
{
"from": "user",
"value": "<image>In the rhombus ABCD, if the length of the diagonal AC is 'd' units (d = 4.0) and the measure of angle BAD is 'θ' degrees (θ = 120.0), what is the expression for the perimeter of the rhombus ABCD?\nChoices:\nA: 20\nB: 18\nC: 16\nD: 15"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/9176.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195250 | [
{
"from": "user",
"value": "<image>Two rectangles of dimensions $8 \\mathrm{~cm}$ by $10 \\mathrm{~cm}$ and $9 \\mathrm{~cm}$ by $12 \\mathrm{~cm}$ overlap as shown in the diagram. The area of the black region is $37 \\mathrm{~cm}^{2}$. What is the area of the grey region?\nA. $60 \\mathrm{~cm}^{2}$\nB. $62... | [
"mulberry_images/mathvision/images/1762.jpg"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195251 | [
{
"from": "user",
"value": "<image>As shown in the figure, in parallelogram ABCD, the diagonals AC and BD intersect at point E, angle CBD = 90°, BC = 4, and AC = 10. The area of this parallelogram is ()\nChoices:\nA: 24\nB: 40\nC: 20\nD: 12"
},
{
"from": "assistant",
"value": "<think> Okay, let'... | [
"mulberry_images/geoqa_plus/11460.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195252 | [
{
"from": "user",
"value": "<image>Given triangle ABC with side lengths AB = 10.0, AC = 8.0, and BC = 6.0, a circle passing through point C and tangent to side AB intersects CB and CA at points E and F, respectively. What is the minimum length of the line segment EF? Represent the minimum length as 'm'.\nCh... | [
"mulberry_images/geoqa_plus/9888.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195253 | [
{
"from": "user",
"value": "<image>As depicted in the figure, in triangle ABC, both angle ABC and angle ACB are bisected by line segments BO and CO respectively. Additionally, line segment MN is shown to be parallel to line segment BC. If the lengths of AB and AC are known as 36.0 and 24.0 units respectivel... | [
"mulberry_images/geoqa_plus/75.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195254 | [
{
"from": "user",
"value": "<image>If points A, B, and C lie on circle O, and angle AOB is denoted by 'a' units (a = 30.0), then what is the measure of angle ACB? Express the measure of angle ACB as 'b'.\nChoices:\nA: 10°\nB: 15°\nC: 40°\nD: 70°"
},
{
"from": "assistant",
"value": "<think> Okay,... | [
"mulberry_images/geoqa_plus/2637.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195255 | [
{
"from": "user",
"value": "<image>In circle O, chords AB and AC intersect at point A. Perpendiculars are drawn from point D on AB and from point E on AC, resulting in OD and OE, respectively. If angle BOC measures 160.0 degrees, determine the measure of angle DOE.\nChoices:\nA: 90°\nB: 95°\nC: 100°\nD: 110... | [
"mulberry_images/geoqa_plus/2057.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195256 | [
{
"from": "user",
"value": "<image>What is the size of the yellow thing behind the small vehicle in front of the green matte object?"
},
{
"from": "assistant",
"value": "<think> Okay, let's break down the question. The user is asking about the size of the \"yellow thing\" behind a small vehicle ... | [
"mulberry_images/Super-CLEVR/images/superCLEVR_new_001543.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195257 | [
{
"from": "user",
"value": "<image>How many bicycles are present in the image?"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The user is asking how many bicycles are present in the image. According to the image provided, there are three bicycles specifically mentioned. Let me che... | [
"mulberry_images/Super-CLEVR/images/superCLEVR_new_000069.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195258 | [
{
"from": "user",
"value": "<image>Are there more bicycles or airplanes visible in the image?"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The user wants to know if there are more bicycles or airplanes in the image based on the provided image. Looking back at the image: it shows... | [
"mulberry_images/Super-CLEVR/images/superCLEVR_new_001953.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195259 | [
{
"from": "user",
"value": "<image>Let the quadrilateral ABCD be inscribed in circle O, with the measure of angle BOD denoted by 'm'. Determine the measure of angle DCB in terms of 'm'.\nChoices:\nA: 50°\nB: 80°\nC: 100°\nD: 130°"
},
{
"from": "assistant",
"value": "<think> Okay, let's tackle th... | [
"mulberry_images/geoqa_plus/9692.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195260 | [
{
"from": "user",
"value": "<image>In the diagram, AB represents the diameter of circle O, and angle ACD measures 25°. What is the measure of angle BAD? Let the measure of angle BAD be denoted as θ.\nChoices:\nA: 55°\nB: 60°\nC: 65°\nD: 75°"
},
{
"from": "assistant",
"value": "<think> Okay, let'... | [
"mulberry_images/geoqa_plus/10294.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195261 | [
{
"from": "user",
"value": "<image>How big is the thing that is to the right of the gray shiny bicycle and to the left of the big rubber fighter?"
},
{
"from": "assistant",
"value": "<think> Okay, let's break down the question step by step. The user is asking about the size of the object located... | [
"mulberry_images/Super-CLEVR/images/superCLEVR_new_001425.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195262 | [
{
"from": "user",
"value": "<image>A bush has 10 branches. Each branch has either 5 leaves only or 2 leaves and 1 flower. Which of the following could be the total number of leaves the bush has?\nA. 45\nB. 39\nC. 37\nD. 31\nE. None of A to D"
},
{
"from": "assistant",
"value": "<think> Okay, let... | [
"mulberry_images/mathvision/images/1621.jpg"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195263 | [
{
"from": "user",
"value": "<image>What color is the metallic bus?"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The question is asking what color the metallic bus is. I need to refer back to the image provided. Looking at the image, there's a bus mentioned. The bus is depicted a... | [
"mulberry_images/Super-CLEVR/images/superCLEVR_new_001177.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195264 | [
{
"from": "user",
"value": "<image>Each plant in Johns garden has exactly 5 leaves or exactly 2 leaves and a flower. In total the plants have 6 flowers and 32 leaves. How many plants are growing in the garden?"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to figure this out. So, ... | [
"mulberry_images/mathvision/images/845.jpg"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195265 | [
{
"from": "user",
"value": "<image>In the given figure, if AB represents the diameter of circle O and BC is a chord, with angle ABC measuring 40.0 degrees, and OD is perpendicular to BC at point D, find the measure of angle DCB.\nChoices:\nA: 20°\nB: 25°\nC: 30°\nD: 35°"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/3025.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195266 | [
{
"from": "user",
"value": "<image>Consider an ice cream cone with a generatrix length of 'x' units (x = 13.0) and a height of 'y' units (y = 12.0). Determine the lateral area 'A' of the cone in terms of 'x' and 'y'.\nChoices:\nA: 10πcm^{2}\nB: 25πcm^{2}\nC: 60πcm^{2}\nD: 65πcm^{2}"
},
{
"from": "as... | [
"mulberry_images/geoqa_plus/2191.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195267 | [
{
"from": "user",
"value": "<image>Given the inscribed triangle ABC in circle O, with the measure of angle C denoted by the variable 'theta' degrees (theta = 60.0), determine the measure of angle AOB in degrees.\nChoices:\nA: 30°\nB: 60°\nC: 90°\nD: 120°"
},
{
"from": "assistant",
"value": "<thi... | [
"mulberry_images/geoqa_plus/9673.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195268 | [
{
"from": "user",
"value": "<image>Given the central angle A as the measure of the circumferential angle of circle O, where A = 'a' units (a = 40.0), find the degree of angle BOC. Represent the angle BOC in terms of 'a'.\nChoices:\nA: 50°\nB: 80°\nC: 90°\nD: 120°"
},
{
"from": "assistant",
"valu... | [
"mulberry_images/geoqa_plus/9772.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195269 | [
{
"from": "user",
"value": "<image>Given the parallel lines l and m, and the placement of vertex B of equilateral triangle ABC on line m, with the acute angle between side BC and line m measuring 18°, what is the degree measurement of angle α?\nChoices:\nA: 60°\nB: 42°\nC: 36°\nD: 30°"
},
{
"from": ... | [
"mulberry_images/geoqa_plus/10453.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195270 | [
{
"from": "user",
"value": "<image>Starting from point A, if Xiaoming walks 20.0 units along the hillside to point C, then turns around to see the top of tree B on the same horizontal line, with a slope angle α of 30.0 and a distance of 1.7 units between his eyes and the ground, what would be the height of ... | [
"mulberry_images/geoqa_plus/8060.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195271 | [
{
"from": "user",
"value": "<image>What number of tiny metal objects are to the left of the big thing to the left of the big mountain bike?"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to figure out this question step by step. The problem is asking: \"What number of tiny metal o... | [
"mulberry_images/Super-CLEVR/images/superCLEVR_new_001614.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195272 | [
{
"from": "user",
"value": "<image>Are there more planes than cars in the image?"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to figure this out. The question is asking if there are more planes than cars in the image based on the provided image. First, I need to recall the detai... | [
"mulberry_images/Super-CLEVR/images/superCLEVR_new_000508.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195273 | [
{
"from": "user",
"value": "<image>In circle O, where AB is a chord intersecting at point D with the foot of the perpendicular at point C, and point E lies on the major arc AB, if the angle AOD measures 52.0 degrees, what is the measurement of angle DEB?\nChoices:\nA: 52°\nB: 40°\nC: 26°\nD: 45°"
},
{
... | [
"mulberry_images/geoqa_plus/3044.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195274 | [
{
"from": "user",
"value": "<image>In parallelogram ABCD, with diagonals intersecting at point O and AD ≠ CD, a perpendicular line OM is drawn through point O to AC, intersecting AD at point M. If the perimeter of triangle CDM is 8 units, what is the perimeter of parallelogram ABCD? Express the perimeter as... | [
"mulberry_images/geoqa_plus/12381.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195275 | [
{
"from": "user",
"value": "<image>What is the area of the shaded part in the figure where B, C, and G are collinear, given that the edge lengths of diamonds ABCD and ECGF are 4.0 and 6.0 respectively, and angle A is 120.0 degrees?\nChoices:\nA: √{3}\nB: 4\nC: 2√{3}\nD: 4√{3}"
},
{
"from": "assistan... | [
"mulberry_images/geoqa_plus/7960.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195276 | [
{
"from": "user",
"value": "<image>What is the color of the metal thing left of a small purple shiny bicycle near the dirtbike?"
},
{
"from": "assistant",
"value": "<think> Okay, let me break this down. The question is asking about the color of a metal object located to the left of the small pur... | [
"mulberry_images/Super-CLEVR/images/superCLEVR_new_001445.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195277 | [
{
"from": "user",
"value": "<image>The solid shown on the right is made from two cubes. The small cube with edges $1 \\mathrm{~cm}$ long sits on top of a bigger cube with edges $3 \\mathrm{~cm}$ long. What is the surface area of the whole solid?\nA. $56 \\mathrm{~cm}^{2}$\nB. $58 \\mathrm{~cm}^{2}$\nC. $60 ... | [
"mulberry_images/mathvision/images/1534.jpg"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195278 | [
{
"from": "user",
"value": "<image>In the diagram of right triangle ABC, where the measure of angle C is 90° and AB = 10 units, and D represents the midpoint of AB, what is the length of CD?\nChoices:\nA: 7cm\nB: 6cm\nC: 5cm\nD: 4cm"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to... | [
"mulberry_images/geoqa_plus/12144.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195279 | [
{
"from": "user",
"value": "<image>In a tennis game, Xiaowei hits the ball such that it just clears the net and lands 4.0 units away from it. If the horizontal distance from the hitting point to the net is represented by 'x' units (x = 8.0) and the net height is 'y' units (y = 0.8), what is the height 'h' a... | [
"mulberry_images/geoqa_plus/2392.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-195280 | [
{
"from": "user",
"value": "<image>What size is the rubber thing that is the same color as the big metallic car?"
},
{
"from": "assistant",
"value": "<think> Okay, let's break down the question. The user is asking about the size of the rubber thing that's the same color as the big metallic car. ... | [
"mulberry_images/Super-CLEVR/images/superCLEVR_new_000486.png"
] | vision_r1_mulberry_sft_full |
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