Datasets:
hiyouga
/
geometry3k

Dataset card Data Studio Files Community
1
images
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problem
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234
answer
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id
int64
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2.1k
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4 values
<image>Find y.
15
1,181
[ "15", "18", "21", "24" ]
A
<image>In $\odot A, m \angle E A D=42$. Find $m \widehat{E D B}$
222
1,572
[ "120", "138", "222", "240" ]
C
<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
1,790
[ "62", "64", "66", "68" ]
D
<image>$UJ=9, VJ=3$, and $ZT=18$. Find $ZJ$.
12
1,581
[ "3", "6", "9", "12" ]
D
<image>Find $x$.
20
687
[ "10", "15", "20", "25" ]
C
<image>Find the measure of $\angle 5$ if $m∠4= m∠5$.
32
58
[ "32", "42", "44", "53" ]
A
<image>Find the perimeter of each polygon for the given information. $S T=18,$ radius of $\odot P=5$
58.5
1,919
[ "58.5", "60", "70", "90" ]
A
<image>$\overline{JH}$ is a midsegment of $\triangle KLM$. Find $x$.
11
1,725
[ "5", "10", "11", "22" ]
C
<image>find $tanR$
\frac { 4 } { 3 }
338
[ "\\frac { 3 } { 5 }", "\\frac { 3 } { 4 }", "\\frac { 4 } { 5 }", "\\frac { 4 } { 3 }" ]
D
<image>Find the area of the shaded sector. Round to the nearest tenth.
207.6
224
[ "44.6", "64.2", "103.8", "207.6" ]
D
<image>Find y. Round to the nearest tenth, if necessary.
22.5
1,456
[ "2", "3", "6", "22.5" ]
D
<image>What is the area of the triangle below? Round your answer to the nearest tenth if necessary.
171.9
523
[ "110.5", "144.2", "164.5", "171.9" ]
D
<image>Find the area of the shaded sector. Round to the nearest tenth.
46.5
102
[ "15.5", "46.5", "66.6", "113.1" ]
B
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
471.9
289
[ "332.3", "396", "471.9", "616.1" ]
C
<image>Find the area of the shaded sector. Round to the nearest tenth, if necessary.
40.2
1,629
[ "40.2", "80.4", "160.8", "201.1" ]
A
<image>If $\angle R S T$ is a right angle, $\overline{SU} \perp \overline{RT}$, $\overline{UV} \perp \overline{ST},$ and $m \angle RT S=47,$ find $m \angle RSU$
47
239
[ "35", "37", "45", "47" ]
D
<image>Find $x$.
10
376
[ "4", "6", "10", "15" ]
C
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
103.9
760
[ "60", "84.9", "103.9", "120" ]
C
<image>In the figure consisting of squares $A$, $B$, and $C$, $JK = 2KL$ and $KL = 2LM$. If the perimeter of the figure is 66 units, what is the area?
189
1,541
[ "117", "189", "224", "258" ]
B
<image>Express the ratio of $\tan P$ as a decimal to the nearest hundredth.
1.88
1,766
[ "0.47", "0.53", "0.88", "1.88" ]
D
<image>Find x. Round to the nearest tenth.
7.2
1,099
[ "7.2", "8.1", "24.2", "27.1" ]
A
<image>Find $m \angle 4$.
15
1,060
[ "10", "15", "35", "55" ]
B
<image>For trapezoid QRST, M and P are midpoints of the legs. If PM = 2x, QR = 3x, and TS = 10, find PM.
20
2,059
[ "8", "12", "16", "20" ]
D
<image>Find the area of the figure. Round to the nearest tenth if necessary.
54
163
[ "36", "54", "72", "108" ]
B
<image>Find $m\angle E$
158
1,876
[ "38", "76", "79", "158" ]
D
<image>Find $m\angle 1$.
59
1,346
[ "31", "42", "59", "63" ]
C
<image>Find the measure of $∠R$ to the nearest tenth.
70.9
100
[ "19.1", "20.3", "69.7", "70.9" ]
D
<image>Find x
120
1,389
[ "60", "120", "180", "240" ]
B
<image>Find the measure of $\angle 3$.
147
581
[ "136", "147", "148", "157" ]
B
<image>Find $UZ$.
18
328
[ "12", "18", "24", "32" ]
B
<image>Find x. Round to the nearest tenth.
7.1
647
[ "3.3", "7.1", "9.0", "19.2" ]
B
<image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear to be tangent are tangent.
4
1,804
[ "3", "4", "5", "9" ]
B
<image>$\triangle RST \cong \triangle ABC$. Find $y$.
21
1,442
[ "13", "21", "31", "40" ]
B
<image>In the figure, $ \overline{GK} \cong \overline{GH}$ and $ \overline{HK} \cong \overline{KJ}$. If $m \angle HGK=42$, find $m \angle HJK$.
34.5
1,923
[ "34.5", "39.5", "42", "48" ]
A
<image>In $\odot O, \overline{E C}$ and $\overline{A B}$ are diameters, and $\angle B O D \cong \angle D O E \cong \angle E O F \cong \angle F O A$ Find $m\widehat{A C B}$
180
1,520
[ "45", "90", "180", "360" ]
C
<image>Find the perimeter of the figure.
48
965
[ "28", "48", "96", "192" ]
B
<image>In $\odot X, A B=30, C D=30,$ and $m \widehat{C Z}=40$ Find $m\widehat{D Z}$
40
1,714
[ "30", "40", "60", "80" ]
B
<image>Refer to the figure at the right. Find the value of $y$ if $ p \parallel q $.
105
1,542
[ "75", "85", "95", "105" ]
D
<image>Find x. Round to the nearest degree.
28
29
[ "18", "23", "28", "33" ]
C
<image>Find $m \widehat {PO}$.
112
96
[ "56", "70", "112", "140" ]
C
<image>In the figure, $m∠3 = 43$. Find the measure of $\angle 10$.
137
204
[ "117", "127", "137", "147" ]
C
<image>In $\odot F$, find $m \widehat {AED}$.
153
294
[ "63", "93", "123", "153" ]
D
<image>Find the length of $\widehat {ZY}$. Round to the nearest hundredth.
11.34
979
[ "10.23", "11.34", "12.67", "15.16" ]
B
<image>Points $P$, $Q$, and $R$ are the midpoints of $\overline{J K}$, $\overline{K L}$, and $\overline{J L}$, respectively. Find $x$ .
5.5
1,605
[ "0.83", "1.1", "2.0", "5.5" ]
D
<image>Find $x$ so that the quadrilateral is a parallelogram
2
1,976
[ "2", "4", "13", "66" ]
A
<image>Find $m\angle B$
112
351
[ "112", "116", "122", "127" ]
A
<image>Rhombus $QRST$ has an area of 137.9 square meters. If $RT$ is 12.2 meters, find $QS$.
22.6
2,010
[ "11.3", "22.4", "22.6", "25.6" ]
C
<image>Find $x$ so that $ m \parallel n $.
21.6
817
[ "14", "21.6", "28", "35" ]
B
<image>Find x
6 \sqrt { 2 }
1,664
[ "2 \\sqrt { 2 }", "3 \\sqrt { 2 }", "5 \\sqrt { 2 }", "6 \\sqrt { 2 }" ]
D
<image>Find the circumference of $\odot A$.
20 \pi
1,036
[ "10 \\pi", "20 \\pi", "50 \\pi", "100 \\pi" ]
B
<image>Find $C D$ if $A E=8, E D=4,$ and $B E=6$
9
1,263
[ "4", "6", "8", "9" ]
D
<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
190
[ "16", "18", "27", "42" ]
C
<image>Solve for $x$.
6
1,089
[ "3", "4", "5", "6" ]
D
<image>Quadrilateral ABCD is a rectangle. Find y
5
155
[ "5", "10", "15", "20" ]
A
<image>Find the measure of $ \angle 4 $ if $l \parallel m$ and $m \angle 1 = 105$.
75
1,798
[ "75", "85", "95", "105" ]
A
<image>If PR || KL, KN = 9, LN = 16, PM = 2 KP, find KP
5
1,166
[ "5", "7", "8", "14" ]
A
<image>Find the variable of $c$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.
22.8
892
[ "22.8", "23.8", "24.8", "25.8" ]
A
<image>If $m\angle XZY = 3x + 6$ and $m\angle XZW = 5x - 12$, find $m\angle YXZ$.
48
636
[ "12", "24", "48", "50" ]
C
<image>Find $m \angle 7$.
70
1,886
[ "50", "65", "70", "85" ]
C
<image>Each pair of polygons is similar. Find y.
30
298
[ "30", "60", "87", "98" ]
A
<image>Quadrilateral EFGH is a rectangle. If $m\angle FEG = 57$, find $m\angle GEH$.
33
1,905
[ "13", "20", "33", "57" ]
C
<image>Find the measure of $\angle 1$ if $m∠DGF = 53$ and $m∠AGC = 40$.
37
1,748
[ "30", "37", "40", "50" ]
B
<image>Find $x$.
4
1,229
[ "4", "6", "8", "12" ]
A
<image>Find the area of $ \triangle JKM$.
21
1,324
[ "21", "21.25", "42", "42.5" ]
A
<image>Find x.
8.4
1,118
[ "4.2", "4.65", "5.6", "8.4" ]
D
<image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
48
699
[ "24", "36", "48", "60" ]
C
<image>Find $RT$.
24
1,802
[ "12", "24", "27", "28" ]
B
<image>Find $m \angle T$.
135
1,535
[ "80", "120", "135", "145" ]
C
<image>Find the area of quadrilateral $XYZW$ if $XZ = 39$, $HW = 20$, and $YG = 21$.
799.5
1,001
[ "390", "409.5", "799.5", "1599" ]
C
<image>Find $y$ so that the quadrilateral is a parallelogram.
20
1,695
[ "11", "15", "20", "30" ]
C
<image>Find $x$.
45
31
[ "30", "45", "60", "75" ]
B
<image>Find $y$ if $m∠5 = 68$ and $m∠3 = 3y - 2$.
38
566
[ "22", "23.3", "38", "82" ]
C
<image>Find y.
7
1,918
[ "7", "7 \\sqrt { 2 }", "7 \\sqrt { 3 }", "14" ]
A
<image>Find y
4 \sqrt { 3 }
532
[ "4", "4 \\sqrt { 3 }", "8", "8 \\sqrt { 3 }" ]
B
<image>Find $m \angle 3$.
26
1,722
[ "26", "39", "55", "62" ]
A
<image>Find x
5 \sqrt { 2 }
1,262
[ "5", "5 \\sqrt { 2 }", "10", "10 \\sqrt { 2 }" ]
B
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
1448.0
136
[ "164", "362.0", "724.0", "1448.0" ]
D
<image>Find x. Assume that segments that appear to be tangent are tangent.
6
2,086
[ "5", "6", "8", "9" ]
B
<image>In $\odot P, P D=10, P Q=10,$ and $Q E=20$, find PE
10 \sqrt { 5 }
1,709
[ "10", "20", "10 \\sqrt { 5 }", "30" ]
C
<image>Find the area of the figure. Round to the nearest tenth if necessary.
1200
592
[ "600", "900", "1200", "2400" ]
C
<image>Assume that the segment is tangent, find the value of $x$.
3
1,827
[ "2", "3", "4", "5" ]
B
<image>Find $x$.
9
288
[ "9", "17.5", "26", "36" ]
A
<image>If $QR=2$, $XW=12$, $QW=15$, and $ST=5$, find $RS$.
8
1,526
[ "5", "7.5", "8", "12" ]
C
<image>Quadrilateral $ABCD$ is a rhombus. If $m\angle BCD = 54$, find $m\angle BAC$.
27
584
[ "13", "27", "50", "90" ]
B
<image>$\triangle RST \cong \triangle XYZ$. Find $y$.
15
0
[ "5", "14", "15", "35" ]
C
<image>Find x
91
1,203
[ "32", "57", "58", "91" ]
D
<image>Find the area of the figure. Round to the nearest tenth if necessary.
55.6
1,485
[ "55.6", "66.2", "100.6", "111.2" ]
A
<image>Find the area of the shaded figure in square inches. Round to the nearest tenth.
420
1,674
[ "210", "300", "420", "840" ]
C
<image>$\odot C \cong \odot D$, Find $x$.
27
272
[ "13.5", "27", "54", "108" ]
B
<image>If $CN=8$. Find $DN$.
8
227
[ "4", "8", "12", "16" ]
B
<image>Find $m \angle TUV$
53
218
[ "16", "37", "53", "74" ]
C
<image>Find $y$.
8
789
[ "7", "8", "12", "16" ]
B
<image>Find $m \angle A G D$
90
2,089
[ "45", "90", "180", "360" ]
B
<image>Find x.
12
778
[ "6", "4 \\sqrt { 6 }", "12", "12 \\sqrt { 2 }" ]
C
<image>The diameters of $\odot A, \odot B,$ and $\odot C$ are 10, 30 and 10 units, respectively. Find BX if $\overline{A Z} \cong \overline{C W}$ and $C W=2$.
12
511
[ "12", "24", "36", "48" ]
A
<image>In $\odot C$, $m \angle HCG=2x$ and $m \angle HCD=6x+28$, find $m \widehat {EF}$.
52
308
[ "38", "52", "68", "142" ]
B
<image>Find x.
18
908
[ "9", "6 \\sqrt { 6 }", "18", "18 \\sqrt { 2 }" ]
C
<image>Find x.
2 \sqrt { 78 }
317
[ "7", "2 \\sqrt { 78 }", "19", "\\sqrt { 410 }" ]
B
<image>In the right triangle, what is $A B$ if $B C=6 ?$
4 \sqrt { 3 }
1,261
[ "2 \\sqrt { 3 }", "4 \\sqrt { 3 }", "6 \\sqrt { 2 }", "12" ]
B
<image>In $\odot S, m \angle T S R=42$ Find $m\widehat{KT}$
138
2,016
[ "21", "42", "63", "138" ]
D