images images listlengths 1 1 | problem stringlengths 30 291 | answer stringclasses 668
values |
|---|---|---|
<image>Find the measure of $\angle 8$ if $\overline{A B} \perp \overline{B C}$.
Choices:
14
15
16
17 | 14 | |
<image>Use parallelogram NQRM to find x
Choices:
4
12
14
29 | 4 | |
<image>Find $PW$, if $XZ = 18$ and $PY = 3$
Choices:
3
6
15
18 | 15 | |
<image>Find $m\angle U$
Choices:
44
46
54
134 | 134 | |
<image>Find $m \angle S$.
Choices:
27
35.5
54
71 | 54 | |
<image>If XN = t - 2, NZ = t + 1, XM = 2, and XY = 10, solve for t
Choices:
3
4
5
8 | 3 | |
<image>Find $m \angle 1$.
Choices:
20
40
65
95 | 65 | |
<image>According to the Perpendicular Bisector Theorem, what is the length of segment AB below?
Choices:
2.5
3.0
4.0
5.0 | 2.5 | |
<image>If $AB=6,BC=4$, and $AE=9$, find $ED$.
Choices:
4
6
9
12 | 6 | |
<image>Find $m \angle C$.
Choices:
40
49
80
98 | 49 | |
<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 $m\widehat{U Y}$
Choices:
14
24
76
104 | 76 | |
<image>Find y.
Choices:
\frac { 6 } { 5 }
\frac { 12 } { 5 }
\frac { 6 } { 5 } \sqrt { 11 }
\frac { 12 } { 5 } \sqrt { 11 } | \frac { 12 } { 5 } \sqrt { 11 } | |
<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 $m \angle Y Z V$
Choices:
18
37
53
90 | 37 | |
<image>Find $D C$ if $\overline{D G}$ and $\overline{J M}$ are altitudes and $\triangle K J L \sim \triangle E D C$
Choices:
2
4
6
8 | 4 | |
<image>Find the perimeter of trapezoid PQRS..
Choices:
38
38 + 6 \sqrt { 2 }
38 + 6 \sqrt { 3 }
38 + 6 \sqrt { 2 } + 6 \sqrt { 3 } | 38 + 6 \sqrt { 2 } + 6 \sqrt { 3 } | |
<image>In $\odot F$, $\overline{AB} \cong \overline{BC}$, $DF=3x-7$, and $FE=x+9$. What is $x$?
Choices:
4
7
8
9 | 8 | |
<image>Find $TR$.
Choices:
2
4
5
8 | 4 | |
<image>Find $y$ in the given parallelogram
Choices:
8
11
15
19 | 15 | |
<image>Use parallelogram JKLM to find b if $J K=2 b+3$ and $J M=3 a$.
Choices:
7
14
21
45 | 21 | |
<image>Find $m \widehat {VX}$.
Choices:
28
71
152
166 | 152 | |
<image>Find $x$.
Choices:
3
4
5
6 | 3 | |
<image>Find $m \angle W$
Choices:
31
62
108
124 | 62 | |
<image>In the figure, $m ∠1 = 53$. Find the measure of $∠6$.
Choices:
53
57
63
67 | 53 | |
<image>Find y.
Choices:
\frac { 3 } { 2 }
2
\frac { 3 } { 2 } \sqrt { 3 }
2 \sqrt { 3 } | \frac { 3 } { 2 } | |
<image>Find x
Choices:
22.1
23.4
26.3
28.2 | 28.2 | |
<image> $m \widehat{G H}=78$ Find $m\angle 1$
Choices:
39
78
98
114 | 39 | |
<image>Find $x$.
Choices:
130
150
170
190 | 170 | |
<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.
Choices:
0.6
2.4
4
40 | 4 | |
<image>Find y
Choices:
4.8
4.8 \sqrt { 2 }
9.6
9.6 \sqrt { 2 } | 9.6 \sqrt { 2 } | |
<image>Find $x$.
Choices:
7
8
11
13 | 8 | |
<image>Find $\angle 3$
Choices:
100
110
120
220 | 110 | |
<image>Find $m\angle Y$
Choices:
18
36
72
144 | 72 | |
<image>Solve for x in the figure below.
Choices:
4
5
6
7 | 7 | |
<image>Find the area of the quadrilateral.
Choices:
405
499.5
684.5
999 | 499.5 | |
<image>Find $m \widehat {TS}$.
Choices:
108
126
132
144 | 144 | |
<image>Find $BD$.
Choices:
3
4
5
6 | 5 | |
<image>Find the length of $AB$ in the isosceles triangle $ABC$.
Choices:
1.5
7
11
12.5 | 12.5 | |
<image>Find x. Round to the nearest degree.
Choices:
43
53
63
73 | 63 | |
<image>Find $m \angle DH$.
Choices:
81
99
136
162 | 162 | |
<image>Find $m \angle 1$ in the figure.
Choices:
37
107
110
143 | 107 | |
<image>Find $m \angle H$.
Choices:
93
97
106
116 | 106 | |
<image>Find the variable of $q$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
6.0
7.0
8.0
9.0 | 9.0 | |
<image>Find x
Choices:
1.5
2
3
4 | 2 | |
<image>$UJ=9, VJ=3$, and $ZT=18$. Find $JT$.
Choices:
3
6
9
12 | 6 | |
<image>Find $z$ in the figure.
Choices:
27
73
89
153 | 73 | |
<image>Find x.
Choices:
6
6 \sqrt { 3 }
12
18 | 6 | |
<image>Find $x$.
Choices:
46.5
87
93
105 | 93 | |
<image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
10
20
45
110 | 10 | |
<image>Find $m \angle 3$.
Choices:
15
16
18
20 | 16 | |
<image>Find $CB$.
Choices:
2
3
4
55 | 3 | |
<image>Solve for x in the figure.
Choices:
8
9
10
12 | 8 | |
<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 $.
Choices:
66
68
70
72 | 72 | |
<image>Find the area of the quadrilateral.
Choices:
120
240
360
480 | 240 | |
<image>Circle $W$ has a radius of 4 units, $\odot Z$ has a radius of 7 units, and $X Y=2 .$ Find $I C$
Choices:
5
10
15
20 | 20 | |
<image>Find y.
Choices:
15
16
18
20 | 15 | |
<image>in $\triangle XYZ$, $P$ is the centroid, $KP=3$, and $XJ=8$. Find $XK$.
Choices:
3
6
8
9 | 9 | |
<image>In $\odot F$, $GK=14$ and $m \widehat{GHK}=142$. Find $m \widehat {GH}$.
Choices:
38
71
76
142 | 71 | |
<image>In the figure, $m∠8 = 96$ and $m∠12 = 42$. Find the measure of $\angle 9$.
Choices:
42
84
94
96 | 84 | |
<image>Find $m \angle DBA$.
Choices:
17
22
32
39 | 17 | |
<image>Find the perimeter of the triangle. Round to the nearest tenth if necessary.
Choices:
6
9.6
12
13.2 | 13.2 | |
<image>Find $HK$.
Choices:
10
12
15
20 | 10 | |
<image>Find the measure of $\angle 1$.
Choices:
68
70
70
82 | 70 | |
<image>$A B C D$ is a rectangle. If $A C=30-x$ and $B D=4 x-60$
find $x$
Choices:
2
9
18
36 | 18 | |
<image>$\triangle K L N$ and $\triangle L M N$ are isosceles and $m \angle J K N=130$. Find the measure of $\angle M$.
Choices:
110
120
130
140 | 140 | |
<image>$ACDF \sim VWYZ$. Find $x$.
Choices:
9
10
12
15 | 15 | |
<image>Find y in the figure.
Choices:
35
40
45
50 | 45 | |
<image>Find $x$.
Choices:
4
6
8
10 | 8 | |
<image>Find the variable of $b$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
11.3
11.8
12.3
12.8 | 11.3 | |
<image>Each pair of polygons is similar. Find x
Choices:
29
55.3
71.05
78 | 71.05 | |
<image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
7
8
9
10 | 10 | |
<image>Find x in the figure.
Choices:
12
16
20
32 | 16 | |
<image>Find the area of the triangle.
Choices:
167.2
207.6
334.4
415.2 | 167.2 | |
<image>Find $JN$ if $\triangle JMN$ is an isosceles triangle with $\overline{JM} \cong \overline{M N}$.
Choices:
2
3
4
5 | 2 | |
<image>Find x.
Choices:
8
10
12
14 | 14 | |
<image>For the pair of similar figures, use the given areas to find the scale factor from the blue to the green figure.
Choices:
\frac { 3 } { 4 }
\frac { \sqrt { 3 } } { 2 }
\frac { 2 } { \sqrt { 3 } }
\frac { 4 } { 3 } | \frac { \sqrt { 3 } } { 2 } | |
<image>Triangle $JKL$ is circumscribed about $\odot R$. Find $x$.
Choices:
3
4
7
9 | 4 | |
<image>If $m \angle 2=70-4 x$ and $m \angle 5=18 x-8,$ find $m \angle 5$
Choices:
2
28
62
72 | 28 | |
<image>WXYZ is a square. If $WT = 3$, find $m \angle WTZ$
Choices:
15
30
45
90 | 90 | |
<image>Find $\angle 7$
Choices:
41
82
98
186 | 98 | |
<image>Find x.
Choices:
3
3 \sqrt { 2 }
3 \sqrt { 3 }
6 \sqrt { 2 } | 3 \sqrt { 2 } | |
<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 .
Choices:
3
11
14
28 | 28 | |
<image>Find y. Round to the nearest tenth.
Choices:
18.8
23.2
25.9
44.0 | 25.9 | |
<image>Each pair of polygons is similar. Find x.
Choices:
60
87
91
98 | 91 | |
<image>$∠6$ and $∠8$ are complementary, $m∠8 = 47$. Find the measure of $\angle 6$.
Choices:
43
47
86
90 | 43 | |
<image>Find the measure of $∠A$ to the nearest tenth.
Choices:
16.7
17.5
72.5
73.3 | 16.7 | |
<image>Find x.
Choices:
2 \sqrt { 3 }
3 \sqrt { 3 }
5 \sqrt { 3 }
6 \sqrt { 3 } | 6 \sqrt { 3 } | |
<image>Find the measure of the altitude drawn to the hypotenuse.
Choices:
8
8 \sqrt { 2 }
16
16 \sqrt { 2 } | 8 \sqrt { 2 } | |
<image>Find $m \widehat {RQS}$ if $m \widehat{QTS}=238$.
Choices:
29
61
83
119 | 61 | |
<image>Find x
Choices:
30
37.5
45
90 | 45 | |
<image>$J$ is the incenter of $\angle ABC$. Find $JF$.
Choices:
9
12
15
32 | 9 | |
<image>Find $x$ so that each quadrilateral is a parallelogram.
Choices:
1
2
4
5 | 1 | |
<image>If $\overline{PQ} \cong \overline{UQ}$ and $ m ∠ P = 32 $, find $ m ∠PUQ $.
Choices:
32
74
79
116 | 32 | |
<image>Find y
Choices:
6
9
12
12 \sqrt { 2 } | 12 \sqrt { 2 } | |
<image>Find $x$.
Choices:
3
4
6
7 | 4 | |
<image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
40
80
120
160 | 80 | |
<image>Find $x$.
Choices:
8
9
12
15 | 12 | |
<image>Quadrilateral DEFG is a rectangle. If DE = 14 + 2x and GF = 4(x - 3) + 6, find GF.
Choices:
15
28
34
40 | 34 | |
<image>Find x.
Choices:
5
7.5
10
12.5 | 5 | |
<image>Find $x$.
Choices:
3
5
6
8 | 5 | |
<image>Find the perimeter of each polygon for the given information.
$B Y=C Z=A X=2.5$
diameter of $\odot G=5$
Choices:
15
20
15 \sqrt { 3 }
30 | 15 \sqrt { 3 } |
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