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hiyouga
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geometry3k

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4 values
<image>Find the angle measure of $\angle 2$.
128
94
[ "128", "138", "142", "148" ]
A
<image>Find the value of $x$ in the diagram
20
1,168
[ "5", "10", "20", "40" ]
C
<image>$\overline{GJ}$ is a diameter of $\odot K$. Find $m \widehat {GLH}$.
238
1,082
[ "119", "122", "238", "244" ]
C
<image>Find $x$ in the figure.
16
968
[ "12", "14", "16", "18" ]
C
<image>Find $m\angle G$
107
1,780
[ "102", "107", "112", "122" ]
B
<image>For the pair of similar figures, find the area of the green figure.
24
945
[ "7.6", "10.1", "18", "24" ]
D
<image>Find the area of the parallelogram.
396
1,855
[ "396", "560.0", "685.9", "792" ]
A
<image>Chords $\overline{A C}$ and $\overline{D F}$ are equidistant from the center. If the radius of $\odot G$ is 26 find $D E$
24
321
[ "12", "20", "24", "26" ]
C
<image>Find the ratio of the area of $ \triangle ABC$ to the area of square $BCDE$.
\frac { \sqrt 3 } { 4 } : 1
510
[ "1 : 3", "\\frac { \\sqrt 3 } { 4 } : 1", "\\frac { \\sqrt 3 } { 2 } : 1", "\\sqrt { 3 } :1" ]
B
<image>If $M D=7,$ find $R I$
14
576
[ "7", "14", "21", "28" ]
B
<image>Find the measure of $\angle 6$.
140
899
[ "130", "140", "142.5", "145" ]
B
<image>Find $x$ in parallelogram $ABCD$.
7.2
396
[ "5", "6", "7.2", "8.1" ]
C
<image>Find $x$.
80
1,109
[ "60", "80", "125", "155" ]
B
<image>In the figure, $m∠1 = 123$. Find the measure of $\angle 4$.
57
1,739
[ "47", "57", "67", "123" ]
B
<image>The triangle is inscribed in $\odot D$. Find the exact circumference of $\odot D$.
4 \sqrt { 13 } \pi
1,630
[ "4 \\sqrt { 13 } \\pi", "4 \\sqrt { 15 } \\pi", "6 \\sqrt { 13 } \\pi", "6 \\sqrt { 15 } \\pi" ]
A
<image>Express the ratio of $\tan C$ as a decimal to the nearest hundredth.
0.75
1,817
[ "0.60", "0.75", "0.80", "1.33" ]
B
<image>Find $z$.
10 \sqrt { 5 }
554
[ "10", "10 \\sqrt { 3 }", "20", "10 \\sqrt { 5 }" ]
D
<image>If $a=4,$ find $b$
4 \sqrt { 3 }
932
[ "2 \\sqrt { 3 }", "6", "4 \\sqrt { 3 }", "8" ]
C
<image>If TP = 4x + 2, QP = 2y – 6, PS = 5y - 12, and PR = 6x - 4, find y so that the quadrilateral is a parallelogram.
2
1,608
[ "2", "5", "12", "20" ]
A
<image>Find the measure of $\angle 2$ if $m∠4= m∠5$.
53
299
[ "47", "53", "63", "64" ]
B
<image>Find $x$. $A = 104$ ft$^2$.
6.3
402
[ "6.3", "6.5", "7.4", "13.0" ]
A
<image>Find x.
20 \sqrt { 2 }
1,371
[ "10 \\sqrt { 2 }", "20 \\sqrt { 2 }", "20 \\sqrt { 3 }", "40" ]
B
<image>Quadrilateral $RSTU$ is circumscribed about $\odot J$. If the preimeter is $18$ units, find $x$.
1.5
427
[ "1", "1.5", "3", "4.5" ]
B
<image>In rhombus $A B C D, A B=2 x+3$ and $B C=5 x$. Find x.
1
33
[ "1", "2", "4", "5" ]
A
<image>Find $x$.
170
479
[ "168", "170", "172", "174" ]
B
<image>In the figure at the right, $YZ$ is the midsegment of trapezoid $TWRV$. Determine the value of $x$.
1.2
670
[ "1.2", "8", "14.8", "16" ]
A
<image>Find $b$ in the given parallelogram
8
1,846
[ "2", "8", "9", "10" ]
B
<image>If quadrilateral ABCD is a kite, what is $m \angle C$?
76
339
[ "15", "74", "76", "89" ]
C
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
480
123
[ "420", "480", "764.4", "797.6" ]
B
<image>Find $x$.
18
2,007
[ "12", "15", "18", "21" ]
C
<image>If PR || KL, KN = 9, LN = 16, PM = 2 KP, find MR
40 / 3
1,752
[ "12", "26 / 2", "40 / 3", "14" ]
C
<image>Find $YZ$.
8
1,429
[ "6", "7", "8", "9" ]
C
<image>If $m \widehat{F E}=118, m \widehat{A B}=108$, $m \angle E G B=52,$ and $m \angle E F B=30$ Find $m \widehat{A C}$
30
889
[ "30", "52", "108", "118" ]
A
<image>Find the area of the blue region.
17.5
2,004
[ "8.7", "14.0", "17.5", "24.4" ]
C
<image>In $\odot R, S U=20, Y W=20,$ and $m \widehat{Y X}=45$. Find WZ
10
1,654
[ "10", "20", "30", "45" ]
A
<image>Find the measure of $\angle 6$ if $\overline{A B} \perp \overline{B C}$.
26
549
[ "21", "26", "31", "36" ]
B
<image>Find $m\angle T$
58
948
[ "58", "68", "121", "123" ]
A
<image>Find the area of the quadrilateral.
2829.0
1,107
[ "2450", "2829.0", "3464.8", "4900" ]
B
<image>In the figure, square $WXYZ$ is inscribed in $\odot R$. Find the measure of a central angle.
90
622
[ "45", "90", "180", "270" ]
B
<image>Find x.
7 \sqrt { 2 }
1,064
[ "7", "7 \\sqrt { 2 }", "14", "7 \\sqrt { 6 }" ]
B
<image>For trapezoid QRTU, V and S are midpoints of the legs. If VS = 9 and UT = 12, find QR.
7
915
[ "7", "17", "26", "34" ]
A
<image>Find x.
6
836
[ "6", "12", "18", "24" ]
A
<image>$Q$ is the centroid and $BE=9$. Find $QE$.
3
1,126
[ "3", "6", "9", "12" ]
A
<image>Find $x$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.
6
1,751
[ "2", "4", "6", "8" ]
C
<image>For the pair of similar figures, use the given areas to find the scale factor of the blue to the green figure.
\frac { 5 } { 6 }
30
[ "\\frac { 25 } { 36 }", "\\frac { 5 } { 6 }", "\\frac { 6 } { 5 }", "\\frac { 36 } { 25 }" ]
B
<image>In the figure, a regular polygon is inscribed in a circle. Find the measure of a central angle.
72
1,951
[ "18", "36", "72", "144" ]
C
<image>Find $y$ so that the quadrilateral is a parallelogram.
9
422
[ "9", "13", "18", "19" ]
A
<image>Find x. Round to the nearest tenth, if necessary.
15
1,493
[ "2", "6", "12", "15" ]
D
<image>If $\overline{RQ} \cong \overline{RS}$ and $ m ∠RQS = 75 $, find $ m ∠R $.
30
2,083
[ "30", "40", "52.5", "75" ]
A
<image>Find the area of the shaded region. Round to the nearest tenth.
449.0
1,216
[ "85.5", "449.0", "534.5", "808.2" ]
B
<image>The diameters of $\odot A, \odot B,$ and $\odot C$ are 10, 30 and 10 units, respectively. Find BY if $\overline{A Z} \cong \overline{C W}$ and $C W=2$.
12
1,865
[ "6", "12", "48", "60" ]
B
<image>If $CE=t-2$. $EB=t+1$, $CD=2$, and $CA=10$, find $t$.
3
414
[ "1", "2", "3", "4" ]
C
<image>Find the area of the figure. Round to the nearest tenth if necessary.
310
1,795
[ "210", "230", "310", "460" ]
C
<image>Find the perimeter of the triangle. Round to the nearest tenth if necessary.
36
440
[ "21", "24", "36", "54" ]
C
<image>Find $x$.
72
410
[ "72", "82", "84", "143" ]
A
<image>In the figure, $ \triangle ABC$ is isosceles, $ \triangle DCE$ is equilateral, and $ \triangle FCG$ is isosceles. Find the measures of the $\angle 5$ at vertex $C$.
18
546
[ "15", "16", "17", "18" ]
D
<image>Find x
60
689
[ "34", "49", "60", "128" ]
C
<image>Find x. Assume that segments that appear to be tangent are tangent.
16
1,901
[ "14", "15", "16", "17" ]
C
<image>In the figure, $m∠3 = 43$. Find the measure of $\angle 16$.
137
1,313
[ "117", "127", "137", "147" ]
C
<image>Find the angle measure of $\angle4$.
52
667
[ "38", "42", "52", "62" ]
C
<image>Express the ratio of $\sin A$ as a decimal to the nearest hundredth.
0.38
1,686
[ "0.38", "0.42", "0.92", "2.40" ]
A
<image>Find x.
2 \sqrt { 10 }
936
[ "5", "2 \\sqrt { 10 }", "7", "\\sqrt { 202 }" ]
B
<image>Find $RS$.
8
1,028
[ "4", "6", "8", "10" ]
C
<image>Find $m \angle X$
117
225
[ "14", "56", "70", "117" ]
D
<image>Find $m \angle M$.
30
1,395
[ "20", "30", "60", "120" ]
B
<image>Quadrilateral ABCD is a rectangle. $m\angle 2 = 40$. Find $m \angle 5$
80
352
[ "30", "40", "50", "80" ]
D
<image>Quadrilateral $WXYZ$ is inscribed in $\odot V$. Find $m \angle Y$.
85
183
[ "60", "85", "95", "120" ]
B
<image>Find the measure of $∠R$ to the nearest tenth.
39.6
1,147
[ "32.5", "39.6", "50.4", "57.5" ]
B
<image>Find $MP$.
8
1,098
[ "6", "8", "10", "12" ]
B
<image>Find the area of the regular polygon. Round to the nearest tenth.
584.2
710
[ "73.0", "292.1", "584.2", "1168.5" ]
C
<image>Find the area of the shaded region. Assume that the polygon is regular unless otherwise stated. Round to the nearest tenth.
139.1
708
[ "139.1", "516.2", "721.1", "762.7" ]
A
<image>Find $x$.
\frac { 26 } { 3 }
1,081
[ "\\frac { 4 } { 3 }", "\\frac { 13 } { 3 }", "6", "\\frac { 26 } { 3 }" ]
D
<image>Find z
4 \sqrt { 3 }
1,799
[ "2 \\sqrt { 3 }", "4", "4 \\sqrt { 3 }", "12" ]
C
<image>In $\odot R$, If $SU=16.2$, what is $RT$?
8.1
550
[ "8.1", "16.2", "24.3", "32.4" ]
A
<image>Use parallelogram JKLM to find m \angle JKL if $J K=2 b+3$ and $J M=3 a$.
80
677
[ "30", "70", "80", "100" ]
C
<image>JKLM is a rhombus. If $CK = 8$ and $JK = 10$, Find $JC$.
6
1,270
[ "4", "6", "8", "10" ]
B
<image>In $\odot B$, the diameter is 20 units long, and $m \angle A C E=45$ Find $x$
\sqrt { 2 }
1,376
[ "\\sqrt { 2 }", "2", "4", "5 \\sqrt { 2 }" ]
A
<image>Let $\overline{J K}$ be the median of $A B T Q .$ Find $J K$
78
2
[ "43", "54", "78", "86" ]
C
<image>Find x.
4 \sqrt { 2 }
296
[ "4", "4 \\sqrt { 2 }", "4 \\sqrt { 3 }", "8" ]
B
<image>Find the measure of $\angle 3$ if $m∠DGF = 53$ and $m∠AGC = 40$.
50
995
[ "40", "47", "50", "53" ]
C
<image>Find $y$.
17
928
[ "7", "8", "12", "17" ]
D
<image>Use parallelogram to find $y$
5
1,852
[ "5", "10", "15", "20" ]
A
<image>Find $m\angle C$
120
1,806
[ "30", "60", "90", "120" ]
D
<image>In the figure, $m ∠9 = 75$. Find the measure of $\angle 5$.
75
1,821
[ "75", "85", "95", "105" ]
A
<image>$a=8, b=15,$ and $c=17$, find $sinA$
0.47
602
[ "0.30", "0.47", "0.53", "0.70" ]
B
<image>In $\odot A, m \angle E A D=42$. Find $m \widehat{C D}$
138
897
[ "138", "142", "240", "360" ]
A
<image>Find $x$.
5.4
67
[ "2.7", "5.4", "6", "9" ]
B
<image>Find x. Round side measures to the nearest tenth.
4.1
116
[ "4.1", "4.8", "5.3", "6.1" ]
A
<image>Find $KL$.
14
2,040
[ "7", "11", "12", "14" ]
D
<image>Find $x$ so that each quadrilateral is a parallelogram.
12
1,250
[ "12", "24", "60", "72" ]
A
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
22.7
923
[ "17.6", "19.2", "22.7", "29.2" ]
C
<image>Find x
41.8
605
[ "41.8", "42.9", "67.1", "76.4" ]
A
<image>Refer to the figure at the right. Find the value of $m ∠BCE$ if $ p \parallel q $.
75
629
[ "75", "80", "85", "605" ]
A
<image>If $x=7 \sqrt{3},$ find $a$
14 \sqrt { 3 }
1,943
[ "7", "12 \\sqrt { 3 }", "14 \\sqrt { 3 }", "16 \\sqrt { 3 }" ]
C
<image>Use the Pythagorean Theorem to find the length of the hypotenuse of each right triangle.
\sqrt { 34 }
281
[ "3", "4", "5", "\\sqrt { 34 }" ]
D
<image>Find x.
24
1,942
[ "8 \\sqrt { 2 }", "8 \\sqrt { 3 }", "16", "24" ]
D
<image>Find x.
3 \sqrt { 29 }
250
[ "3 \\sqrt { 21 }", "3 \\sqrt { 29 }", "17", "21" ]
B
<image>In rectangle JKLM shown below, $\overline{J L}$ and $M K$ are diagonals. If $J L=2 x+5$ and $K M=4 x-11$, what is $ x $ ?
8
1,236
[ "5", "6", "8", "10" ]
C
<image>Find $m\angle F$
122
1,476
[ "102", "107", "112", "122" ]
D
<image>Find $m\angle Y$
68
726
[ "34", "68", "70", "136" ]
B