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hiyouga
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geometry3k

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4 values
<image>Find $PW$, if $XZ = 18$ and $PY = 3$
15
967
[ "3", "6", "15", "18" ]
C
<image>Find $m\angle U$
134
508
[ "44", "46", "54", "134" ]
D
<image>Find $m \angle S$.
54
254
[ "27", "35.5", "54", "71" ]
C
<image>If XN = t - 2, NZ = t + 1, XM = 2, and XY = 10, solve for t
3
1,120
[ "3", "4", "5", "8" ]
A
<image>Find $m \angle 1$.
65
1,967
[ "20", "40", "65", "95" ]
C
<image>According to the Perpendicular Bisector Theorem, what is the length of segment AB below?
2.5
128
[ "2.5", "3.0", "4.0", "5.0" ]
A
<image>If $AB=6,BC=4$, and $AE=9$, find $ED$.
6
700
[ "4", "6", "9", "12" ]
B
<image>Find $m \angle C$.
49
1,059
[ "40", "49", "80", "98" ]
B
<image>In $\odot Z, \angle W Z X \cong \angle X Z Y, m \angle V Z U=4 x$, $m \angle U Z Y=2 x+24,$ and $\overline{V Y}$ and $\overline{W U}$ are diameters. Find $m\widehat{U Y}$
76
275
[ "14", "24", "76", "104" ]
C
<image>Find y.
\frac { 12 } { 5 } \sqrt { 11 }
975
[ "\\frac { 6 } { 5 }", "\\frac { 12 } { 5 }", "\\frac { 6 } { 5 } \\sqrt { 11 }", "\\frac { 12 } { 5 } \\sqrt { 11 }" ]
D
<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 $m \angle Y Z V$
37
851
[ "18", "37", "53", "90" ]
B
<image>Find $D C$ if $\overline{D G}$ and $\overline{J M}$ are altitudes and $\triangle K J L \sim \triangle E D C$
4
278
[ "2", "4", "6", "8" ]
B
<image>Find the perimeter of trapezoid PQRS..
38 + 6 \sqrt { 2 } + 6 \sqrt { 3 }
47
[ "38", "38 + 6 \\sqrt { 2 }", "38 + 6 \\sqrt { 3 }", "38 + 6 \\sqrt { 2 } + 6 \\sqrt { 3 }" ]
D
<image>In $\odot F$, $\overline{AB} \cong \overline{BC}$, $DF=3x-7$, and $FE=x+9$. What is $x$?
8
62
[ "4", "7", "8", "9" ]
C
<image>Find $TR$.
4
1,228
[ "2", "4", "5", "8" ]
B
<image>Find $y$ in the given parallelogram
15
2,075
[ "8", "11", "15", "19" ]
C
<image>Use parallelogram JKLM to find b if $J K=2 b+3$ and $J M=3 a$.
21
1,410
[ "7", "14", "21", "45" ]
C
<image>Find $m \widehat {VX}$.
152
682
[ "28", "71", "152", "166" ]
C
<image>Find $x$.
3
1,372
[ "3", "4", "5", "6" ]
A
<image>Find $m \angle W$
62
1,840
[ "31", "62", "108", "124" ]
B
<image>In the figure, $m ∠1 = 53$. Find the measure of $∠6$.
53
167
[ "53", "57", "63", "67" ]
A
<image>Find y.
\frac { 3 } { 2 }
1,750
[ "\\frac { 3 } { 2 }", "2", "\\frac { 3 } { 2 } \\sqrt { 3 }", "2 \\sqrt { 3 }" ]
A
<image>Find x
28.2
1,249
[ "22.1", "23.4", "26.3", "28.2" ]
D
<image> $m \widehat{G H}=78$ Find $m\angle 1$
39
1,294
[ "39", "78", "98", "114" ]
A
<image>Find $x$.
170
453
[ "130", "150", "170", "190" ]
C
<image>Quadrilateral ABCD is shown. AC is 40 and BD is $\frac{3}{5}$ AC . BD bisects AC. For what value of $x$ is ABCD a parallelogram.
4
1,335
[ "0.6", "2.4", "4", "40" ]
C
<image>Find y
9.6 \sqrt { 2 }
1,786
[ "4.8", "4.8 \\sqrt { 2 }", "9.6", "9.6 \\sqrt { 2 }" ]
D
<image>Find $x$.
8
1,210
[ "7", "8", "11", "13" ]
B
<image>Find $\angle 3$
110
593
[ "100", "110", "120", "220" ]
B
<image>Find $m\angle Y$
72
158
[ "18", "36", "72", "144" ]
C
<image>Solve for x in the figure below.
7
1,715
[ "4", "5", "6", "7" ]
D
<image>Find the area of the quadrilateral.
499.5
283
[ "405", "499.5", "684.5", "999" ]
B
<image>Find $m \widehat {TS}$.
144
1,640
[ "108", "126", "132", "144" ]
D
<image>Find $BD$.
5
1,046
[ "3", "4", "5", "6" ]
C
<image>Find the length of $AB$ in the isosceles triangle $ABC$.
12.5
2,065
[ "1.5", "7", "11", "12.5" ]
D
<image>Find x. Round to the nearest degree.
63
1,254
[ "43", "53", "63", "73" ]
C
<image>Find $m \angle DH$.
162
764
[ "81", "99", "136", "162" ]
D
<image>Find $m \angle 1$ in the figure.
107
870
[ "37", "107", "110", "143" ]
B
<image>Find $m \angle H$.
106
1,834
[ "93", "97", "106", "116" ]
C
<image>Find the variable of $q$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.
9.0
835
[ "6.0", "7.0", "8.0", "9.0" ]
D
<image>Find x
2
391
[ "1.5", "2", "3", "4" ]
B
<image>$UJ=9, VJ=3$, and $ZT=18$. Find $JT$.
6
389
[ "3", "6", "9", "12" ]
B
<image>Find $z$ in the figure.
73
787
[ "27", "73", "89", "153" ]
B
<image>Find x.
6
1,515
[ "6", "6 \\sqrt { 3 }", "12", "18" ]
A
<image>Find $x$.
93
89
[ "46.5", "87", "93", "105" ]
C
<image>Find x. Assume that segments that appear to be tangent are tangent.
10
1,431
[ "10", "20", "45", "110" ]
A
<image>Find $m \angle 3$.
16
750
[ "15", "16", "18", "20" ]
B
<image>Find $CB$.
3
1,853
[ "2", "3", "4", "55" ]
B
<image>Solve for x in the figure.
8
1,127
[ "8", "9", "10", "12" ]
A
<image>In the figure, $\overline{CP}$ is an altitude, $\overline{CQ}$ is the angle bisector of $∠ACB$, and $R$ is the midpoint of $\overline{AB}$. Find $AB$ if $AR=3x+6$ and $RB = 5x - 14 $.
72
746
[ "66", "68", "70", "72" ]
D
<image>Find the area of the quadrilateral.
240
1,197
[ "120", "240", "360", "480" ]
B
<image>Circle $W$ has a radius of 4 units, $\odot Z$ has a radius of 7 units, and $X Y=2 .$ Find $I C$
20
668
[ "5", "10", "15", "20" ]
D
<image>Find y.
15
830
[ "15", "16", "18", "20" ]
A
<image>in $\triangle XYZ$, $P$ is the centroid, $KP=3$, and $XJ=8$. Find $XK$.
9
1,190
[ "3", "6", "8", "9" ]
D
<image>In $\odot F$, $GK=14$ and $m \widehat{GHK}=142$. Find $m \widehat {GH}$.
71
757
[ "38", "71", "76", "142" ]
B
<image>In the figure, $m∠8 = 96$ and $m∠12 = 42$. Find the measure of $\angle 9$.
84
394
[ "42", "84", "94", "96" ]
B
<image>Find $m \angle DBA$.
17
777
[ "17", "22", "32", "39" ]
A
<image>Find the perimeter of the triangle. Round to the nearest tenth if necessary.
13.2
459
[ "6", "9.6", "12", "13.2" ]
D
<image>Find $HK$.
10
891
[ "10", "12", "15", "20" ]
A
<image>Find the measure of $\angle 1$.
70
1,902
[ "68", "70", "70", "82" ]
B
<image>$A B C D$ is a rectangle. If $A C=30-x$ and $B D=4 x-60$ find $x$
18
974
[ "2", "9", "18", "36" ]
C
<image>$\triangle K L N$ and $\triangle L M N$ are isosceles and $m \angle J K N=130$. Find the measure of $\angle M$.
140
173
[ "110", "120", "130", "140" ]
D
<image>$ACDF \sim VWYZ$. Find $x$.
15
580
[ "9", "10", "12", "15" ]
D
<image>Find y in the figure.
45
1,411
[ "35", "40", "45", "50" ]
C
<image>Find $x$.
8
2,080
[ "4", "6", "8", "10" ]
C
<image>Find the variable of $b$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.
11.3
2,026
[ "11.3", "11.8", "12.3", "12.8" ]
A
<image>Each pair of polygons is similar. Find x
71.05
341
[ "29", "55.3", "71.05", "78" ]
C
<image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
10
196
[ "7", "8", "9", "10" ]
D
<image>Find x in the figure.
16
827
[ "12", "16", "20", "32" ]
B
<image>Find the area of the triangle.
167.2
395
[ "167.2", "207.6", "334.4", "415.2" ]
A
<image>Find $JN$ if $\triangle JMN$ is an isosceles triangle with $\overline{JM} \cong \overline{M N}$.
2
953
[ "2", "3", "4", "5" ]
A
<image>Find x.
14
444
[ "8", "10", "12", "14" ]
D
<image>For the pair of similar figures, use the given areas to find the scale factor from the blue to the green figure.
\frac { \sqrt { 3 } } { 2 }
1,589
[ "\\frac { 3 } { 4 }", "\\frac { \\sqrt { 3 } } { 2 }", "\\frac { 2 } { \\sqrt { 3 } }", "\\frac { 4 } { 3 }" ]
B
<image>Triangle $JKL$ is circumscribed about $\odot R$. Find $x$.
4
905
[ "3", "4", "7", "9" ]
B
<image>If $m \angle 2=70-4 x$ and $m \angle 5=18 x-8,$ find $m \angle 5$
28
1,546
[ "2", "28", "62", "72" ]
B
<image>WXYZ is a square. If $WT = 3$, find $m \angle WTZ$
90
1,683
[ "15", "30", "45", "90" ]
D
<image>Find $\angle 7$
98
1,699
[ "41", "82", "98", "186" ]
C
<image>Find x.
3 \sqrt { 2 }
1,472
[ "3", "3 \\sqrt { 2 }", "3 \\sqrt { 3 }", "6 \\sqrt { 2 }" ]
B
<image>In $\triangle A B C, \overline{B D}$ is a median. If $A D=3 x+5$ and $C D=5 x-1$, find AC .
28
1,237
[ "3", "11", "14", "28" ]
D
<image>Find y. Round to the nearest tenth.
25.9
477
[ "18.8", "23.2", "25.9", "44.0" ]
C
<image>Each pair of polygons is similar. Find x.
91
1,370
[ "60", "87", "91", "98" ]
C
<image>$∠6$ and $∠8$ are complementary, $m∠8 = 47$. Find the measure of $\angle 6$.
43
1,954
[ "43", "47", "86", "90" ]
A
<image>Find the measure of $∠A$ to the nearest tenth.
16.7
1,864
[ "16.7", "17.5", "72.5", "73.3" ]
A
<image>Find x.
6 \sqrt { 3 }
732
[ "2 \\sqrt { 3 }", "3 \\sqrt { 3 }", "5 \\sqrt { 3 }", "6 \\sqrt { 3 }" ]
D
<image>Find the measure of the altitude drawn to the hypotenuse.
8 \sqrt { 2 }
1,122
[ "8", "8 \\sqrt { 2 }", "16", "16 \\sqrt { 2 }" ]
B
<image>Find $m \widehat {RQS}$ if $m \widehat{QTS}=238$.
61
416
[ "29", "61", "83", "119" ]
B
<image>Find x
45
613
[ "30", "37.5", "45", "90" ]
C
<image>$J$ is the incenter of $\angle ABC$. Find $JF$.
9
2,032
[ "9", "12", "15", "32" ]
A
<image>Find $x$ so that each quadrilateral is a parallelogram.
1
134
[ "1", "2", "4", "5" ]
A
<image>If $\overline{PQ} \cong \overline{UQ}$ and $ m ∠ P = 32 $, find $ m ∠PUQ $.
32
408
[ "32", "74", "79", "116" ]
A
<image>Find y
12 \sqrt { 2 }
1,740
[ "6", "9", "12", "12 \\sqrt { 2 }" ]
D
<image>Find $x$.
4
664
[ "3", "4", "6", "7" ]
B
<image>Find the area of the figure. Round to the nearest tenth if necessary.
80
387
[ "40", "80", "120", "160" ]
B
<image>Find $x$.
12
1,818
[ "8", "9", "12", "15" ]
C
<image>Quadrilateral DEFG is a rectangle. If DE = 14 + 2x and GF = 4(x - 3) + 6, find GF.
34
1,625
[ "15", "28", "34", "40" ]
C
<image>Find x.
5
1,377
[ "5", "7.5", "10", "12.5" ]
A
<image>Find $x$.
5
1,054
[ "3", "5", "6", "8" ]
B
<image>Find the perimeter of each polygon for the given information. $B Y=C Z=A X=2.5$ diameter of $\odot G=5$
15 \sqrt { 3 }
977
[ "15", "20", "15 \\sqrt { 3 }", "30" ]
C
<image>Solve for x in the figure.
4
650
[ "2", "3", "4", "6" ]
C
<image>Polygon ABCD ~ polygon AEFG, $m\angle AGF = 108$, GF = 14, AD = 12, DG = 4.5, EF = 8, and AB = 26. Find BC
12.8
1,835
[ "4.5", "12", "12.8", "100" ]
C