Datasets:
images
images listlengths 1
1
| problem
stringlengths 13
234
| answer
stringlengths 1
34
| id
int64 0
2.1k
| choices
sequencelengths 4
4
| ground_truth
stringclasses 4
values |
---|---|---|---|---|---|
<image>Find x. Round to the nearest tenth, if necessary. | 11 | 1,106 | [
"8",
"9",
"10",
"11"
] | D |
|
<image>In the figure, the vertices of quadrilateral ABCD intersect square EFGH and divide its sides into segments with measures that have a ratio of 1:2. Find the ratio between the areas of ABCD and EFGH. | 5:9 | 1,354 | [
"1:4",
"1:2",
"5:9",
"1: \\sqrt 2"
] | C |
|
<image>Find the value of $f$ in the parallelogram | 14 | 704 | [
"14",
"18",
"36",
"56"
] | A |
|
<image>Find the value of the variable $y$ in the figure. | 125 | 468 | [
"55",
"115",
"125",
"135"
] | C |
|
<image>Find $m\angle S$ | 123 | 1,005 | [
"68",
"80",
"123",
"125"
] | C |
|
<image>Find $x$ so that $ m \parallel n $. | 13 | 1,811 | [
"10",
"11",
"12",
"13"
] | D |
|
<image>Find $ m ∠RSU $ so that $ m \parallel n $. | 124 | 1,861 | [
"114",
"116",
"120",
"124"
] | D |
|
<image>Find $x$. | 12 | 1,676 | [
"6",
"9",
"12",
"15"
] | C |
|
<image>Find the perimeter of the $\triangle A B C,$ if $\triangle A B C \sim \triangle C B D, A D=5$, $C D=12,$ and $B C=31.2$ | 78 | 68 | [
"32.5",
"72",
"78",
"187.2"
] | C |
|
<image>$\overline{AB}$ is a diameter, $AC=8$ inches, and $BC=15$ inches. Find the diameter of the circle. | 17 | 2,074 | [
"8",
"8.5",
"15",
"17"
] | D |
|
<image>Find $\angle 10$ | 50 | 1,047 | [
"50",
"80",
"100",
"160"
] | A |
|
<image>Find the measure of $\angle 7$ if $\overline{A B} \perp \overline{B C}$. | 140 | 606 | [
"110",
"120",
"130",
"140"
] | D |
|
<image>Find $m \widehat {CF}$. | 80 | 973 | [
"40",
"49",
"80",
"98"
] | C |
|
<image>$\overline{BC} \| \overline{DF}$. $AC=15$, $BD=3x-2$, $CF=3x+2$, and $AB=12$. Find $x$. | 6 | 1,982 | [
"3",
"4",
"5",
"6"
] | D |
|
<image>Each pair of polygons is similar. Find y | 70 | 1,298 | [
"70",
"80",
"100",
"150"
] | A |
|
<image>Find x. | 12 | 1,548 | [
"9",
"12",
"15",
"16"
] | B |
|
<image>Quadrilateral ABCD is a rectangle. If $m\angle ADB = 4x + 8$ and $m\angle DBA = 6x + 12$, find x. | 7 | 1,023 | [
"7",
"20",
"36",
"54"
] | A |
|
<image>Find $x$. | 2 | 84 | [
"1",
"2",
"3",
"4"
] | B |
|
<image>Find x | 22 | 1,119 | [
"22",
"24",
"43",
"68"
] | A |
|
<image>Find x. Assume that any segment that appears to be tangent is tangent. | 13 | 1,873 | [
"13",
"34",
"106",
"160"
] | A |
|
<image>Find the perimeter of quadrilateral ABCD. | 40 + 14 \sqrt { 2 } | 157 | [
"27 + 14 \\sqrt { 2 }",
"40 + 14 \\sqrt { 2 }",
"27 + 28 \\sqrt { 2 }",
"40 + 28 \\sqrt { 2 }"
] | B |
|
<image>Find $EG$. | 10 | 1,394 | [
"5",
"6.5",
"10",
"13"
] | C |
|
<image>In $\triangle JLP$, $m \angle JMP=3 x-6$, $JK=3y-2$, and $LK=5y-8$. Find $LK$ if $\overline{PK}$ is a median.
| 7 | 1,286 | [
"2",
"5",
"7",
"8"
] | C |
|
<image>Find $ST$. | 5 | 1,435 | [
"5",
"10",
"12",
"16"
] | A |
|
<image>Find the measure of the altitude drawn to the hypotenuse. | \sqrt { 612 } | 850 | [
"18",
"\\sqrt { 612 }",
"34",
"612"
] | B |
|
<image>Use parallelogram $ABCD$ to find $AB$ | 12 | 1,593 | [
"6",
"12",
"18",
"115"
] | B |
|
<image>Find the area of the figure. Round to the nearest tenth if necessary. | 39.4 | 1,663 | [
"39.4",
"49.0",
"68.2",
"78.7"
] | A |
|
<image>Find $x$ if $\odot M \cong \odot N$. | 9 | 1,100 | [
"8",
"9",
"10",
"12"
] | B |
|
<image>Find x. Round side measures to the nearest tenth. | 35.1 | 1,213 | [
"16.4",
"18.0",
"32.0",
"35.1"
] | D |
|
<image>Find x. | 2 \sqrt { 5 } | 1,559 | [
"2 \\sqrt { 2 }",
"3 \\sqrt { 2 }",
"2 \\sqrt { 5 }",
"3 \\sqrt { 5 }"
] | C |
|
<image>If $QT=11$, what is $QU$. | 11 | 1,635 | [
"7",
"8",
"11",
"16"
] | C |
|
<image>$a=14, b=48,$ and $c=50$ find $tanA$ | 0.29 | 273 | [
"0.17",
"0.19",
"0.29",
"0.50"
] | C |
|
<image>Find $y$ so that the quadrilateral is a parallelogram | 41 | 1,433 | [
"9",
"20",
"21",
"41"
] | D |
|
<image>$\ln \odot K$, $ M N=16$ and $m \widehat{M N}=98$. Find the measure of $LN$. Round to the nearest hundredth. | 8.94 | 8 | [
"6.93",
"7.50",
"8.94",
"10.00"
] | C |
|
<image>In the figure, $QR \| TS$, $QT \| RS$, and $m \angle 1=131$. Find the measure of $\angle 6$. | 131 | 1,045 | [
"101",
"111",
"121",
"131"
] | D |
|
<image>Find the measure of $m∠C$. | 70 | 2,017 | [
"35",
"70",
"90",
"140"
] | B |
|
<image>Find x | 7 | 1,533 | [
"7",
"9",
"11",
"15"
] | A |
|
<image>Find $m \angle 2$. | 39 | 1,763 | [
"33",
"39",
"51",
"108"
] | B |
|
<image>If PR || WX, WX = 10, XY = 6, WY = 8, RY = 5, and PS = 3, find PQ | 6 | 749 | [
"5.5",
"6",
"8",
"11"
] | B |
|
<image>Find z. | 12 \sqrt { 3 } | 457 | [
"6 \\sqrt { 3 }",
"12 \\sqrt { 3 }",
"18 \\sqrt { 2 }",
"36"
] | B |
|
<image>WXYZ is a parallelogram. Find $m \angle Y Z W$ | 115 | 49 | [
"33",
"65",
"82",
"115"
] | D |
|
<image>Find $XZ$. | 23 | 257 | [
"5",
"15",
"23",
"35"
] | C |
|
<image>Find y. | 10 | 347 | [
"6",
"8",
"10",
"12"
] | C |
|
<image>Find the measure of $\angle 1$. | 56 | 330 | [
"56",
"66",
"76",
"86"
] | A |
|
<image>Find $x$. | 60 | 45 | [
"50",
"55",
"60",
"70"
] | C |
|
<image>Find the area of the figure. | 150 | 744 | [
"105",
"135",
"150",
"160"
] | C |
|
<image>In $\odot P, m \widehat{E N}=66$ and $m \angle G P M=89$ .
Find $m \angle G N M$ | 44.5 | 454 | [
"44.5",
"66",
"89",
"155"
] | A |
|
<image>Find $x$ so that the quadrilateral is a parallelogram | 3 | 962 | [
"3",
"5",
"7",
"8"
] | A |
|
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary. | 1520 | 229 | [
"1064",
"1120",
"1520",
"1888.1"
] | C |
|
<image>Find $x$. | 3 | 585 | [
"2",
"3",
"4",
"5"
] | B |
|
<image>Find $y$. | 3 | 1,490 | [
"1",
"2",
"3",
"4"
] | C |
|
<image>WXYZ is a parallelogram. Find $m \angle X W Z$ | 65 | 1,801 | [
"33",
"65",
"82",
"115"
] | B |
|
<image>Find x. | \frac { 15 \sqrt { 2 } } { 2 } | 1,669 | [
"\\frac { 15 } { 2 }",
"\\frac { 15 \\sqrt { 2 } } { 2 }",
"\\frac { 15 \\sqrt { 3 } } { 2 }",
"15 \\sqrt { 2 }"
] | B |
|
<image>Find $x$ in the figure. | 34 | 434 | [
"27.7",
"34",
"41.3",
"68"
] | B |
|
<image>Find the measure of $\angle 1$ if $m \angle D G F=53$ and $m \angle A G C=40$. | 37 | 52 | [
"37",
"40",
"50",
"53"
] | A |
|
<image>Find the measure of the altitude drawn to the hypotenuse. | 3 \sqrt { 5 } | 680 | [
"\\sqrt { 3 }",
"\\sqrt { 5 }",
"3",
"3 \\sqrt { 5 }"
] | D |
|
<image>Chords $\overline{JF}$ and $\overline{BC}$ intersect at $K .$ If $B K=8$, $K C=12,$ and $K F=16,$ find $J K$ | 6 | 807 | [
"6",
"12",
"15",
"18"
] | A |
|
<image>Find x. | 32.2 | 1,682 | [
"7.0",
"16.6",
"32.2",
"35.5"
] | C |
|
<image>Find the measure of $\angle 2$ if $m \angle D G F=53$ and $m \angle A G C=40$. | 50 | 2,082 | [
"37",
"40",
"50",
"53"
] | C |
|
<image>Find the rhombus of the kite. | 240 | 2,052 | [
"120",
"180",
"240",
"300"
] | C |
|
<image>Use rhombus XYZW with $m \angle W Y Z=53, V W=3$, $X V=2 a-2,$ and $Z V=\frac{5 a+1}{4}$
Find XZ | 8 | 1,620 | [
"2",
"4",
"8",
"16"
] | C |
|
<image>Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth. | 30.4 | 1,101 | [
"25",
"28.5",
"30.4",
"50"
] | C |
|
<image>What is ED? | not enough information | 1,637 | [
"15",
"25",
"88.5",
"not enough information"
] | D |
|
<image>If $P T=y-3, P S=y+2, R S=12,$ and $Q S=16$
solve for $y$ | \frac { 14 } { 3 } | 1,925 | [
"\\frac { 3 } { 14 }",
"\\frac { 2 } { 3 }",
"\\frac { 3 } { 2 }",
"\\frac { 14 } { 3 }"
] | D |
|
<image>The diagonals of rhombus FGHJ intersect at K.
If $m\angle FJH = 82$, find $m\angle KHJ$. | 49 | 265 | [
"15",
"33",
"49",
"82"
] | C |
|
<image>$\Delta EFG$ is equilateral, and $\overline{E H}$ bisects $\angle E$. Find $x$. | 6 | 71 | [
"5",
"6",
"7",
"8"
] | B |
|
<image>Find y | 4 \sqrt { 3 } | 1,383 | [
"2 \\sqrt { 3 }",
"4",
"4 \\sqrt { 3 }",
"8"
] | C |
|
<image>Find x. | 4 \sqrt { 13 } | 1,097 | [
"4 \\sqrt { 5 }",
"4 \\sqrt { 13 }",
"8 \\sqrt { 5 }",
"8 \\sqrt { 13 }"
] | B |
|
<image>Find the area of the figure. | 54.9 | 1,824 | [
"22.9",
"29.7",
"54.9",
"60"
] | C |
|
<image>ABCD is a rhombus. If EB = 9, AB = 12 and $m\angle ABD = 55$ . Find $m\angle BDA$ | 55 | 1,455 | [
"9",
"12",
"20",
"55"
] | D |
|
<image>$\triangle LMN \cong \triangle QRS$. Find $y$. | 50 | 1,430 | [
"10",
"20",
"40",
"50"
] | D |
|
<image>For the pair of similar figures, use the given areas to find the scale factor of the blue to the green figure. | \frac { 3 } { 2 } | 108 | [
"\\frac { 4 } { 9 }",
"\\frac { 2 } { 3 }",
"\\frac { 3 } { 2 }",
"\\frac { 9 } { 4 }"
] | C |
|
<image>Quadrilateral MNOP is a rhombus. Find $m\angle MRN $ | 90 | 849 | [
"56",
"90",
"124",
"140"
] | B |
|
<image>Find x. Round the side measure to the nearest tenth. | 8.3 | 614 | [
"4.2",
"8.3",
"16.7",
"69.4"
] | B |
|
<image>Find x. Assume that segments that appear to be tangent are tangent. | 9.6 | 597 | [
"6",
"8",
"9.6",
"14.6"
] | C |
|
<image>Find the area of the figure in feet. Round to the nearest tenth, if necessary. | 14.4 | 1,508 | [
"14.4",
"16",
"28.8",
"32"
] | A |
|
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary. | 164 | 1,796 | [
"82",
"164",
"836",
"1448"
] | B |
|
<image>Find $m\angle K$ | 62 | 1,041 | [
"62",
"72",
"116",
"160"
] | A |
|
<image>Find $m \angle 2$. | 23 | 1,913 | [
"23",
"55",
"63",
"125"
] | A |
|
<image>Find $z$ in the figure. | 13.5 | 1,172 | [
"13.5",
"14",
"14.5",
"15"
] | A |
|
<image>Find $x$. | 11 | 608 | [
"9",
"11",
"37",
"47"
] | B |
|
<image>Quadrilateral ABCD is a rectangle. Find y | 5 | 1,910 | [
"5",
"12",
"24",
"25"
] | A |
|
<image>Find the measure of $\angle 1$. | 55 | 140 | [
"33",
"45",
"54",
"55"
] | D |
|
<image>Refer to trapezoid $CDFG$ with median $\overline{HE}$. Let $\overline{WX}$ be the median of $CDEH$. Find $WX$. | 42 | 537 | [
"34",
"38",
"42",
"46"
] | C |
|
<image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear
to be tangent are tangent. | 5 | 263 | [
"5",
"10",
"15",
"20"
] | A |
|
<image>Find the area of the shaded region. | 50.3 | 2,087 | [
"12.6",
"50.3",
"100.5",
"402.1"
] | B |
|
<image>For trapezoid $R S T V, A$ and $B$ are midpoints of the legs. Find $V T$. | 4 | 745 | [
"4",
"8",
"26",
"30"
] | A |
|
<image>Find AX if $E X=24$ and $D E=7$ | 24 | 478 | [
"1",
"7",
"24",
"25"
] | C |
|
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary. | 315.2 | 1,409 | [
"80.0",
"157.6",
"315.2",
"364.0"
] | C |
|
<image>What is the area of the triangle? Round your answer to the nearest tenth if necessary. | 161.3 | 1,601 | [
"137.4",
"161.3",
"170.5",
"186.9"
] | B |
|
<image>Find $m \angle K$. | 46 | 930 | [
"46",
"63",
"69",
"92"
] | A |
|
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary. | 106.1 | 1,345 | [
"75",
"106.1",
"150",
"212.1"
] | B |
|
<image>Find $y$ in the figure. | 15 | 406 | [
"15",
"34",
"67",
"75"
] | A |
|
<image>For trapezoid $D E G H, X$ and $Y$ are midpoints of the legs. Find $D E$ | 8 | 2,056 | [
"8",
"16",
"20",
"32"
] | A |
|
<image>Find x. | 24 \sqrt { 2 } | 2,044 | [
"24",
"24 \\sqrt { 2 }",
"36",
"24 \\sqrt { 3 }"
] | B |
|
<image>In $\odot F$, find $m \widehat {ADB}$. | 243 | 286 | [
"63",
"153",
"233",
"243"
] | D |
|
<image>Find the perimeter of the figure. Round to the nearest tenth if necessary. | 54.8 | 934 | [
"54.8",
"60",
"80",
"109.6"
] | A |
|
<image>In the figure, $ \overline{JM} \cong \overline{PM}$ and $ \overline{ML} \cong \overline{PL}$. If $m \angle PLJ=34$, find $m \angle JPM$. | 36.5 | 782 | [
"34",
"34.5",
"36",
"36.5"
] | D |
|
<image>The segment is tangent to the circle. Find $x$. | 4 | 1,579 | [
"3",
"4",
"5",
"8"
] | B |
|
<image>Find the radius of $\odot K$. Round to the nearest hundredth. | 19.00 | 2,069 | [
"9.50",
"19.00",
"56.37",
"59.69"
] | B |
End of preview. Expand
in Dataset Viewer.
This dataset was converted from https://github.com/lupantech/InterGPS using the following script.
import os
import json
from PIL import Image
from datasets import Dataset, DatasetDict, Sequence
from datasets import Image as ImageData
MAPPING = {"A": 0, "B": 1, "C": 2, "D": 3}
def generate_data(data_path: str):
for folder in os.listdir(data_path):
folder_path = os.path.join(data_path, folder)
image = Image.open(os.path.join(folder_path, "img_diagram.png"), "r")
with open(os.path.join(folder_path, "data.json"), "r", encoding="utf-8") as f:
data = json.load(f)
yield {
"images": [image],
"problem": "<image>" + data["annotat_text"],
"answer": data["choices"][MAPPING[data["answer"]]],
"id": data["id"],
"choices": data["choices"],
"ground_truth": data["answer"],
}
def main():
trainset = Dataset.from_generator(generate_data, gen_kwargs={"data_path": os.path.join("data", "geometry3k", "train")})
valset = Dataset.from_generator(generate_data, gen_kwargs={"data_path": os.path.join("data", "geometry3k", "val")})
testset = Dataset.from_generator(generate_data, gen_kwargs={"data_path": os.path.join("data", "geometry3k", "test")})
dataset = DatasetDict({"train": trainset, "validation": valset, "test": testset}).cast_column("images", Sequence(ImageData()))
dataset.push_to_hub("hiyouga/geometry3k")
if __name__ == "__main__":
main()
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