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<image>Find x. | 3 |
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<image>If $\overline{B E} \cong \overline{E D}$ and $m \widehat{E D}=120,$ find $m \widehat{B E}$ | 120 |
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<image>Find x. | 2 \sqrt { 221 } |
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<image>Find $x$ so that $m || n$. | 27 |
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<image>GRID IN In the figure, the radius of circle $A$ is twice the radius of circle $B$ and four times the radius of circle $C .$ If the sum of the circumferences of the three circles is $42 \pi,$ find the measure of $\overline{A C}$ | 27 |
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<image>Find $m \angle 2$. | 34 |
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<image>Find the area of a regular hexagon with a perimeter of 72 feet. | 374.1 |
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<image>Find the area of the parallelogram. Round to the nearest tenth if necessary. | 420 |
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<image>Find the area of the shaded region. Round to the nearest tenth if necessary. | 108.5 |
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<image>The triangle is inscribed into the circle. Find the exact circumference of the circle. | 12 \pi |
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<image>Find x | 4 |
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<image>Find the area of the shaded sector. Round to the nearest tenth. | 311.5 |
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<image>Find $x$ in the figure. | 16 |
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<image>Find $x$. | 35 |
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<image>In the figure, square $WXYZ$ is inscribed in $\odot R$. Find the measure of a central angle. | 90 |
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<image>Find y. | 45 |
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<image>Find $\angle D$ of quadrilateral ABCD | 45 |
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<image>Find $x$. | 70 |
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<image>The diagonals of rhombus FGHJ intersect at K.
If $m\angle FJH = 82$, find $m\angle KHJ$. | 49 |
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<image>Find $y$ in the given parallelogram | 15 |
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<image>Find $HK$. | 10 |
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<image>$\triangle RST \cong \triangle XYZ$. Find $y$. | 15 |
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<image>Find x. Round to the nearest tenth. | 24.7 |
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<image>Find DX if $E X=24$ and $D E=7$ | 25 |
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<image>Find $TR$. | 4 |
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<image>Find z | 2 \sqrt { 6 } |
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<image>Find the measure of $\angle 4$ if $m∠4= m∠5$. | 32 |
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<image>Find the perimeter of the triangle. Round to the nearest tenth if necessary. | 43.5 |
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<image>If $\overline{QR} \| \overline{XY}, XQ=15, QZ=12$, and $YR=20$, what is the length of $\overline{RZ}$. | 16 |
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<image>Find $x$. | 13.9 |
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<image>In $\odot P$, $PS=4$, find the length of $\widehat {QR}$. Round to the nearest hundredth. | 4.75 |
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<image>Find $y$ if $\triangle JLM \sim \triangle QST$. | 4 |
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<image>Find $MP$. | 8 |
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<image>Find x. | 24 \sqrt { 2 } |
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<image>For the pair of similar figures, use the given areas to find $x$. | 10.4 |
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<image>Find the length of $\widehat {ZY}$. Round to the nearest hundredth. | 5.24 |
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<image>Find the value of x. | 130 |
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<image>Find $m \angle A B C$ if $m \widehat{A B}=102$ | 129 |
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<image>If $R T=15, Q P=21,$ and $P T=8,$ find $T S$ | 20 |
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<image>$\triangle K L N$ and $\triangle L M N$ are isosceles and $m \angle J K N=130$. Find the measure of $\angle LKN$. | 81 |
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<image>Find x. Round the side measure to the nearest tenth. | 34.8 |
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<image>Find sinA | \sqrt { 26 } / 26 |
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<image>If XM = 4, XN = 6, and NZ = 9, find XY. | 10 |
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<image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear
to be tangent are tangent. | 8 |
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<image>Find $x$. | \frac { 26 } { 3 } |
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<image>In the figure, $m∠1 = 50$ and $m∠3 = 60$. Find the measure of $\angle 2$. | 110 |
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<image>Find the measure of $∠A$ to the nearest tenth. | 16.7 |
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<image>Find x. | 2 \sqrt { 13 } |
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<image>Find $ m ∠RSU $ so that $ m \parallel n $. | 124 |
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<image>Find tanB | 5 |
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<image>$RP=3.5$ and $JP=9$. Find $PL$. | 7 |
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<image>If PR || WX, WX = 10, XY = 6, WY = 8, RY = 5, and PS = 3, find SY | 4 |
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<image>Find x. | 2 \sqrt { 5 } |
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<image>The sum of the circumference of circles $H,J,K$ is $56 \pi$ units. Find $KJ$. | 24 |
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<image>Solve for x in the figure below. | 7 |
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<image>Find the measure of $\angle 2$ if $m \angle D G F=53$ and $m \angle A G C=40$. | 50 |
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<image>Find $x$. | 4 |
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<image>Find $m \angle D G E$ | 30 |
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<image>Refer to the figure at the right. Find the value of $x$ if $ p \parallel q $. | 45 |
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<image>Find the length of $WY$ | 9 |
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<image>Find $m\angle U$ | 134 |
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<image>$\Delta DFG$ and $\Delta F G H$ are isosceles, $m \angle FDH=28$ and$\overline{DG} \cong \overline{FG} \cong \overline{FH}$. Find the measure of $\angle GFH$. | 68 |
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<image>Find y. | 1.5 |
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<image>If $\overline{PR} \| \overline{KL}, KN=9, LN=16,$ and $PM=2KP$, find $MN$. | 12 |
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<image>Find $NP$. | 14 |
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<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 |
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<image>Find $x$. | 12 |
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<image>Find $x$. | 135 |
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<image>If $\overline{RQ} \cong \overline{RS}$ and $ m ∠RQS = 75 $, find $ m ∠R $. | 30 |
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<image>Find $y$ in the figure. | 40 |
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<image>Find x to the nearest tenth. | 150 |
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<image>Find $h$ in each triangle. | 6 \sqrt 3 |
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<image>Find x. | 10 |
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<image>Find $x$. | 18 |
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<image>Find x. | \frac { 4 } { 9 } \sqrt { 3 } |
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<image>Trapezoid MNPQ has an area of 360 square feet. Find the length of $\overline{MN}$. | 14 |
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<image>Find x. Round side measures to the nearest tenth. | 15.1 |
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<image>Each pair of polygons is similar. Find CD | \frac { 10 } { 3 } |
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<image>Find the area of the shaded sector. Round to the nearest tenth. | 7.4 |
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<image>If $\frac{I J}{X J}=\frac{HJ}{YJ}, m \angle W X J=130$, and $m \angle WZG=20,$ find $m \angle JIH$ | 50 |
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<image>If $\overline{W P}$ is a perpendicular bisector, $m \angle WHA=8 q+17$, $m \angle HWP=10+q$, $AP=6 r+4$, and $PH=22+3 r$, find $q$. | 7 |
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<image>Find x | 5 \sqrt { 3 } |
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<image>$a=14, b=48,$ and $c=50$ find $cosB$ | 0.28 |
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<image>Find $x$. | 9 |
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<image>$\triangle ABC$ is an isosceles triangle with base $BC$. What is the perimeter of the triangle? | 40 |
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<image>$\overline{XY}$ and $\overline{XZ}$ are midsegments of $\triangle RST$. Find $m \angle RYX$. | 124 |
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<image>Find x. Assume that segments that appear to be tangent are tangent. | 4 |
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<image>Find the perimeter of trapezoid PQRS.. | 38 + 6 \sqrt { 2 } + 6 \sqrt { 3 } |
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<image>Find $m\angle 3$. | 99 |
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<image>Find $m\angle S$ | 123 |
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<image>Find x. | 4 \sqrt { 3 } |
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<image>Find $y$ so that the quadrilateral is a parallelogram. | 9 |
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<image>Find $x$. | 107 |
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<image>$m∠11 = 4x$, $m∠12 = 2x -6 $. Find the measure of $\angle 12$. | 56 |
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<image>Find $m \angle TUV$ | 53 |
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<image>Find x | 6 |
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<image>Find x | 4 \sqrt { 6 } |
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<image>If $m\angle BAD = 38$ and $m\angle BCD = 50$, find $m\angle ADC$. | 146 |
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<image>Find $m \angle 5$. | 110 |
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<image>Find the perimeter or circumference of the figure. Round to the nearest tenth. | 25.1 |
End of preview. Expand
in Data Studio
This dataset was converted from https://github.com/lupantech/InterGPS using the following script.
import json
import os
from datasets import Dataset, DatasetDict, Sequence
from datasets import Image as ImageData
from PIL import Image
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"]]],
}
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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