Yuting6/Geo3k-augmentation huggingface dataset:
Problem: <image>Polygon $BCDE$ $\cong$ polygon $RSTU$. Find $z$.
Choices:
3
10
20
42
Answer: 3
Problem: <image>Find the area of the sector. Round to the nearest tenth.
Choices:
16.9
67.6
133.5
201.1
Answer: 67.6
Problem: <image>Find AC
Choices:
7
7 \sqrt { 3 }
14
14 \sqrt { 3 }
Answer: 7 \sqrt { 3 }
Problem: <image>Find $m \angle 2$.
Choices:
34
38
42
66
Answer: 34
Problem: <image>If $MNPQ \sim XYZW,$ find the perimeter of $XYZW$.
Choices:
17
18
20
34
Answer: 17
Problem: <image>Find $m\angle B$
Choices:
78
103
105
120
Answer: 120
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
239.2
338.4
478.5
586.0
Answer: 338.4
Problem: <image>Find x
Choices:
22.5
45
60
90
Answer: 22.5
Problem: <image>Use rhombus $A B C D$ with $m \angle 1=2 x+20, m \angle 2=5 x-4$, $A C=15,$ and $m \angle 3=y^{2}+26 .$ 
Find AF
Choices:
2.5
5
7.5
10
Answer: 7.5
Problem: <image>Find the measure of $\angle 1$.
Choices:
95
109
123
137
Answer: 123
Problem: <image>Find x
Choices:
30
60
120
150
Answer: 60
Problem: <image>Find the circumference of $\odot S$. Round to the nearest hundredth.
Choices:
7.94
20.42
40.83
81.67
Answer: 40.83
Problem: <image>What is the value of $x$ if $m \widehat{NR}=62$ and $m \widehat {NP}=108$?
Choices:
23
31
64
128
Answer: 64
Problem: <image>Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth.
Choices:
4.1
9.1
33.8
36.0
Answer: 4.1
Problem: <image>Find y.
Choices:
7
7 \sqrt { 2 }
14
14 \sqrt { 2 }
Answer: 14
Problem: <image>Find x. Round the side measure to the nearest tenth.
Choices:
6.4
7.4
22.8
26.5
Answer: 22.8
Problem: <image>Find the measure of $ST$ of equilateral triangle $RST$ if $RS = x + 9$, $ST = 2x$, and $RT = 3x - 9$.
Choices:
9
12
15
18
Answer: 18
Problem: <image>Find x
Choices:
30
45
60
90
Answer: 45
Problem: <image>Find $x$ so that the quadrilateral is a parallelogram.
Choices:
4
6
8
12
Answer: 4
Problem: <image>In $\odot R, S U=20, Y W=20,$ and $m \widehat{Y X}=45$.
Find UV
Choices:
10
20
30
45
Answer: 10
Problem: <image>Find $x$.
Choices:
120
135
145
160
Answer: 135
Problem: <image>Find $y$.
Choices:
3
4
6
9
Answer: 4
Problem: <image>For the pair of similar figures, find the area of the green figure.
Choices:
20.4
28.6
56.0
78.4
Answer: 78.4
Problem: <image>If $AC=14,BC=8$, and $AD=21$, find $ED$.
Choices:
8
12
14
21
Answer: 12
Problem: <image>Find x.
Choices:
\frac { 5 } { 2 } \sqrt { 2 }
5
5 \sqrt { 2 }
10
Answer: 5
Problem: <image>The segment is tangent to the circle. Find $x$.
Choices:
6
7
8
9
Answer: 8
Problem: <image>Find $m \angle 1$.
Choices:
32
47
70
85
Answer: 85
Problem: <image>If TP = 4x + 2, QP = 2y – 6, PS = 5y - 12, and PR = 6x - 4, find x so that the quadrilateral is a parallelogram.
Choices:
0
3
5
14
Answer: 3
Problem: <image>Find $m \angle D G E$
Choices:
30
60
150
330
Answer: 30
Problem: <image>Find $x$ so that the quadrilateral is a parallelogram.
Choices:
4
12
25
45
Answer: 4
Problem: <image>Use parallelogram to find $x$
Choices:
39
79
101
180
Answer: 79
Problem: <image>Find $m \angle B$.
Choices:
20
30
60
80
Answer: 30
Problem: <image>Find $RT$.
Choices:
12
22
31
33
Answer: 31
Problem: <image>The area of trapezoid $JKLM$ is 138 square feet. The area of trapezoid $QRST$ is 5.52 square feet. If trapezoid $J K L M$ $ \sim$ trapezoid $QRST$, find the scale factor from trapezoid $JKLM$ to trapezoid $QRST$.
Choices:
\frac { 1 } { 25 }
\frac { 1 } { 5 }
5
25
Answer: 5
Problem: <image>In $\odot R, S U=20, Y W=20,$ and $m \widehat{Y X}=45$.
Find $m\widehat{S T}$
Choices:
20
30
45
90
Answer: 45
Problem: <image>In H, the diameter is $18$, $LM = 12$, and $m \widehat {LM} = 84$. Find $m \widehat {LK}$.
Choices:
21
42
63
84
Answer: 42
Problem: <image>If $J,P,$ and $L$ are the midpoints of $\overline{KH}, \overline{HM}$ and $\overline{MK}$, respectively. Find $x$.
Choices:
4.75
5.25
6
7
Answer: 4.75
Problem: <image>Find x
Choices:
22
64
128
148
Answer: 22
Problem: <image>$\overline{AD}$ and $\overline{CG}$ are diameters of $\odot B$. Find $m \widehat {ACF}$.
Choices:
265
270
295
305
Answer: 270
Problem: <image>Find x
Choices:
6
8
10
2 \sqrt { 34 }
Answer: 8
Problem: <image>The two polygons are similar. Find x.
Choices:
13.5
18
45
200
Answer: 13.5
Problem: <image>Find $m\angle Z$ in the trapezoid
Choices:
23
46
68
112
Answer: 68
Problem: <image>What is the value of x in the figure?
Choices:
10
12
14
15
Answer: 12
Problem: <image>Find x
Choices:
3
2 \sqrt { 3 }
6
4 \sqrt { 3 }
Answer: 6
Problem: <image>Find $m \angle Y$.
Choices:
50
60
70
80
Answer: 60
Problem: <image>Find $\angle W$
Choices:
44
46
54
134
Answer: 134
Problem: <image>Find $x$.
Choices:
6
11
12
20
Answer: 11
Problem: <image>Find $x$ so that the quadrilateral is a parallelogram
Choices:
2
4
9
11
Answer: 2
Problem: <image>Find $m\angle J$
Choices:
52
62
72
150
Answer: 150
Problem: <image>In $\triangle PQR$, $\overline{ST} \| \overline{R Q}$ . If  $PT=7.5$, $TQ=3$, and $SR=2.5$, find $PS$.
Choices:
2.5
6
6.25
7.5
Answer: 6.25
Problem: <image>If $c=8,$ find $b$
Choices:
4
4 \sqrt { 3 }
8
8 \sqrt { 3 }
Answer: 4 \sqrt { 3 }
Problem: <image>If $\overline{AB}$ and $\overline{JK}$ are altitudes, $\triangle DAC \sim \triangle MJL, AB=9, AD=4x-8, JK=21$, and $JM=5x+3,$ find $x$.
Choices:
4
5
8
9
Answer: 5
Problem: <image>Find $x$.
Choices:
92
102
128
154
Answer: 102
Problem: <image>Find $x$ so that $m || n$.
Choices:
9
27
45
81
Answer: 27
Problem: <image>Find cosA
Choices:
\frac { \sqrt { 26 } } { 26 }
\frac { 2 \sqrt { 26 } } { 26 }
\frac { 5 \sqrt { 26 } } { 26 }
\frac { 7 \sqrt { 26 } } { 26 }
Answer: \frac { 5 \sqrt { 26 } } { 26 }
Problem: <image>Find y.
Choices:
10 \sqrt { 2 }
5 \sqrt { 17 }
25
5 \sqrt { 33 }
Answer: 5 \sqrt { 33 }
Problem: <image>Find y.
Choices:
\frac { 5 } { 14 }
\frac { 25 } { 14 }
5
\frac { 171 } { 14 }
Answer: \frac { 25 } { 14 }
Problem: <image>Express the ratio of $\tan Q$ as a decimal to the nearest hundredth.
Choices:
0.47
0.53
0.88
1.88
Answer: 0.53
Problem: <image>Find x
Choices:
\frac { 17 \sqrt { 2 } } { 2 }
\frac { 19 \sqrt { 2 } } { 2 }
\frac { 21 \sqrt { 2 } } { 2 }
\frac { 23 \sqrt { 2 } } { 2 }
Answer: \frac { 19 \sqrt { 2 } } { 2 }
Problem: <image>Find $\angle 8$
Choices:
20
70
90
180
Answer: 90
Problem: <image>Find the area of the kite.
Choices:
40
70
110
220
Answer: 110
Problem: <image>Find DX if $E X=24$ and $D E=7$
Choices:
1
7
24
25
Answer: 25
Problem: <image>Segments $\overline{AD}$ and $\overline{CE}$ are medians of $\triangle ACB, \overline{AD} \perp \overline{CE}, AB=10$, and $CE=9$. Find $CA$
Choices:
2 \sqrt { 5 }
\sqrt { 41 }
\sqrt { 52 }
\sqrt { 61 }
Answer: \sqrt { 52 }
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
230
300
340
400
Answer: 340
Problem: <image>Find $m \widehat{CD}$.
Choices:
120
135
150
180
Answer: 150
Problem: <image>Find $x$. $A = 177$ cm$^2$.
Choices:
13.6
14.8
16.1
16.2
Answer: 16.2
Problem: <image>$\overline{JH}, \overline{JP},$ and $\overline{PH}$ are midsegments of $\triangle KLM$. Find $x$.
Choices:
1.05
1.35
2.1
2.7
Answer: 1.35
Problem: <image>Find the value of $x$ in each diagram
Choices:
12
52
88
120
Answer: 52
Problem: <image>Find x. Round to the nearest tenth, if necessary.
Choices:
3
4
9
14.3
Answer: 14.3
Problem: <image>Find the measure of $\angle 1$.
Choices:
70
75
80
85
Answer: 85
Problem: <image>Find the value  of $x$ in each diagram
Choices:
10
11
31
93
Answer: 93
Problem: <image>Quadrilateral ABCD is a rectangle. $m\angle 2 = 40$. Find $m \angle 6$
Choices:
40
50
80
100
Answer: 50
Problem: <image>$A E$ is a tangent. If $A D=12$ and $F E=18$, how long is $A E$ to the nearest tenth unit?
Choices:
27.5
55
60
90
Answer: 27.5
Problem: <image>If $x=7 \sqrt{3},$ find $b$
Choices:
7
7 \sqrt { 3 }
14 \sqrt { 3 }
42
Answer: 42
Problem: <image>Find x. Round to the nearest tenth.

Choices:
6.5
9.9
10.8
13.3
Answer: 9.9
Problem: <image>Find $NP$.
Choices:
4
7
10
14
Answer: 14
Problem: <image>Find the area of the circle. Round to the nearest tenth.
Choices:
18.8
37.7
113.1
452.4
Answer: 113.1
Problem: <image>Find the measure of $∠T$ to the nearest tenth.
Choices:
23.2
25.4
64.6
66.8
Answer: 64.6
Problem: <image>$\overline{BC} \| \overline{DF}$. $AB=x+5$, $BD=12$, $AC=3x+1$, and $CF=15$. Find $x$.
Choices:
3
4
5
6
Answer: 3
Problem: <image>Quadrilateral $ABDC$  is a rectangle. Find $m \angle 5 if $ m\angle 1 = 38$.  $
Choices:
45
76
104
130
Answer: 104
Problem: <image>Find $m \angle PNM$.
Choices:
36
44
63
88
Answer: 88
Problem: <image>Find $y$ so that each quadrilateral is a parallelogram.
Choices:
4
8
12
16
Answer: 4
Problem: <image>Find the perimeter of $\triangle D E F$  if  $\triangle D E F \sim \triangle G F H$.
Choices:
12
12.25
12.5
12.75
Answer: 12.75
Problem: <image>Find the area of the composite figure. Round to the nearest tenth.
Choices:
217.0
293.9
357.0
433.9
Answer: 357.0
Problem: <image>Find $y$.
Choices:
2
3
4
5
Answer: 2
Problem: <image>Find $m \widehat {PM}$.
Choices:
36
72
136
144
Answer: 144
Problem: <image>Find the area of the shaded region. Assume the inscribed polygon is regular.
Choices:
8.6
17.2
25.8
44.4
Answer: 25.8
Problem: <image>ABCD is a trapezoid.
If $m\angle ABC = 4x + 11$ and $m\angle DAB = 2x + 33$, find the value of $x$ so that ABCD is isosceles.
Choices:
11
30
44
55
Answer: 11
Problem: <image>Find x.
Choices:
10
10 \sqrt { 2 }
10 \sqrt { 3 }
20
Answer: 10
Problem: <image>In the figure, $m∠3 = 43$. Find the measure of $\angle 13$.
Choices:
33
43
53
63
Answer: 43
Problem: <image>If $BT = 5$ and $TC = 8$, find $CD$.
Choices:
\sqrt { 89 }
25
35
64
Answer: \sqrt { 89 }
Problem: <image>Find $z$.
Choices:
12
13
14
15
Answer: 14
Problem: <image>Triangle $A D C$ is circumscribed about $\odot O .$ Find the perimeter of $\triangle A D C$ if $E C=D E+A F$
Choices:
6
19
25
100
Answer: 100
Problem: <image>Find y.
Choices:
30
60
90
120
Answer: 30
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
88.9
128.1
165.6
206.7
Answer: 128.1
Problem: <image>For the pair of similar figures, use the given areas to find $x$.
Choices:
2.6
6.0
32.7
76.2
Answer: 6.0
Problem: <image>Find $x$.
Choices:
8
13
18
23
Answer: 18
Problem: <image>Find $y$ so that each quadrilateral is a parallelogram.
Choices:
12
24
48
72
Answer: 24
Problem: <image>Use parallelogram WXYZ to find $m\angle WZY$
Choices:
65
75
105
180
Answer: 75
Problem: <image>Find x.
Choices:
5
5 \sqrt { 2 }
5 \sqrt { 3 }
10
Answer: 5 \sqrt { 2 }
Problem: <image>$a=14, b=48,$ and $c=50$ find $cosB$
Choices:
0.02
0.28
0.48
0.62
Answer: 0.28
Problem: <image>Find $h$.
Choices:
\frac { 15 \sqrt { 3 } } { 2 }
15
15 \sqrt 2
15 \sqrt 3
Answer: 15 \sqrt 3
Problem: <image>Find $x$.
Choices:
90
110
130
140
Answer: 140
Problem: <image>Find $y$ in the figure.
Choices:
12
26.3
28
168
Answer: 26.3
Problem: <image>In $\odot G, m \angle A G B=30$ and $\overline{C G} \perp \overline{G D}$.
Find $m \widehat{A B}$
Choices:
30
60
90
155
Answer: 30
Problem: <image>For the pair of similar figures, find the area of the green figure.
Choices:
7.7
13.9
45
81
Answer: 81
Problem: <image>Find $SR$.
Choices:
3
4
5
6
Answer: 4
Problem: <image>Find the measure of $\angle 2$.
Choices:
25
35
45
55
Answer: 25
Problem: <image>Find WX
Choices:
6
8
10
12
Answer: 10
Problem: <image>Use parallelogram ABCD to find BC
Choices:
6
9
12
18
Answer: 9
Problem: <image>Find the scale factor from $W$ to $W'$.
Choices:
0.4
0.6
0.8
1
Answer: 0.6
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
92
210
420
525
Answer: 420
Problem: <image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear
to be tangent are tangent.
Choices:
2
3
4
5
Answer: 5
Problem: <image>Find $m \angle 4$.
Choices:
28
38
52
62
Answer: 52
Problem: <image>Find AE
Choices:
3
4
6
11
Answer: 4
Problem: <image>Find $x$.
Choices:
5
10
20
100
Answer: 10
Problem: <image>Find x.
Choices:
18
20
22
24
Answer: 20
Problem: <image>In the figure, $ \triangle ABC$ is isosceles, $ \triangle DCE$ is equilateral, and $ \triangle FCG$ is isosceles. Find the measures of the $\angle 3$ at vertex $C$.
Choices:
22
26
27
28
Answer: 26
Problem: <image>In rhombus LMPQ, $m \angle Q L M=2 x^{2}-10$, $m \angle Q P M=8 x$,  and $M P=10$ . 
Find $m \angle L P Q$
Choices:
20
30
45
60
Answer: 20
Problem: <image>If $FK = 3x - 1$, $KG = 4y + 3$, $JK = 6y - 2$, and 
$KH = 2x + 3$, find $y$ so that the quadrilateral is a parallelogram. 
Choices:
1
2.5
3
5
Answer: 2.5
Problem: <image>Find $m \angle PQS$.
Choices:
36
42
48
63
Answer: 42
Problem: <image>In $\odot D, \overline{D E} \cong \overline{E C}, m \widehat{C F}=60,$ and
$\overline{D E} \perp \overline{E C} .$ Find $m \widehat{A F}$
Choices:
30
60
90
120
Answer: 120
Problem: <image>Express the ratio of $\tan X$ as a decimal to the nearest hundredth.
Choices:
0.28
0.29
0.96
3.43
Answer: 3.43
Problem: <image>Find the value of $x$ in each diagram
Choices:
44
49
88
132
Answer: 44
Problem: <image> In the figure, below, square $A B C D$ is attached to $\triangle A D E$ as shown. If $m \angle E A D$ is $30^{\circ}$ and $A E$ is equal to $4 \sqrt{3}$, then what is the area of square $A B C D $?
Choices:
8 \sqrt 3
16
64
64 \sqrt 2
Answer: 64
Problem: <image>The area $A$ of the shaded region is given. Find $x$. $A = 128$ ft$^2$ .
Choices:
4.9
6.4
9.8
19.6
Answer: 9.8
Problem: <image>isosceles trapezoid TWYZ with $\angle Z \cong \angle Y, m \angle Z=30 x$, $\angle T \cong \angle W,$ and $m \angle T=20 x$, find Z
Choices:
62
72
108
118
Answer: 108
Problem: <image>Find x
Choices:
20
45
65
130
Answer: 20
Problem: <image>$\overline{HK}$ and $\overline{IG}$ are diameters of $\odot L$. Find $m \widehat {HGK}$.
Choices:
121
160
180
200
Answer: 180
Problem: <image>Find the perimeter of the triangle. Round to the nearest tenth if necessary.
Choices:
24
48
56
96
Answer: 48
Problem: <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 $\angle DFG$. 
Choices:
22
24
26
28
Answer: 28
Problem: <image>Find the circumference of the figure. Round to the nearest tenth.
Choices:
9.4
18.8
28.3
37.7
Answer: 18.8
Problem: <image>Find y.
Choices:
5
5 \sqrt { 2 }
5 \sqrt { 3 }
10
Answer: 5 \sqrt { 3 }
Problem: <image>Find the perimeter of the $\triangle DEF$, if $\triangle ABC \sim \triangle DEF$, $AB=5, BC=6, AC=7$, and $DE=3$.
Choices:
6
10.2
10.8
13
Answer: 10.8
Problem: <image>Find z.
Choices:
\frac { \sqrt { 2 } } { 3 }
\frac { \sqrt { 5 } } { 3 }
\sqrt { 2 }
\sqrt { 5 }
Answer: \frac { \sqrt { 2 } } { 3 }
Problem: <image>Find y
Choices:
8
8 \sqrt { 3 }
16
16 \sqrt { 3 }
Answer: 16
Problem: <image>$\overline{QS}$ is a diameter of $\odot V$. Find $m \widehat {PQR}$.
Choices:
123
144
147
150
Answer: 123
Problem: <image>Find x
Choices:
10
12
15
16
Answer: 15
Problem: <image>Find x. Round side measures to the nearest tenth.
Choices:
10.8
15.1
19.1
26.9
Answer: 15.1
Problem: <image>Find $x$.
Choices:
4
6
8
12
Answer: 6
Problem: <image>The segment is tangent to the circle. Find $x$.
Choices:
4
5
7
9
Answer: 4
Problem: <image>Find $LP$.
Choices:
7
10
12
15
Answer: 15
Problem: <image>Find $y$ in the figure.
Choices:
22
24
26
28
Answer: 28
Problem: <image>Solve for $x$.
Choices:
3
4
5
6
Answer: 5
Problem: <image>If $x=7 \sqrt{3},$ find $CE$
Choices:
7
14
21
14 \sqrt { 3 }
Answer: 21
Problem: <image>In the figure, $ \overline{GK} \cong \overline{GH}$ and $ \overline{HK} \cong \overline{KJ}$. If $m \angle HGK=28$, find $m \angle HJK$.
Choices:
38
42
46
56
Answer: 38
Problem: <image>Find $y$ so that the quadrilateral is a parallelogram.
Choices:
12
45
55
60
Answer: 12
Problem: <image>Find the area of the shaded region. Round to the nearest tenth.
Choices:
7.5
37.4
130.6
270.4
Answer: 37.4
Problem: <image>Find $x$.
Choices:
3
9
23
27
Answer: 9
Problem: <image>Find $x$.
Choices:
5.5
11
16.5
22
Answer: 11
Problem: <image>What is the measure of an interior angle of a regular pentagon?
Choices:
96
108
120
135
Answer: 108
Problem: <image>What is the total area of the figure?
Choices:
30
184
338
368
Answer: 368
Problem: <image>Triangle $LMN$ is equilateral, and $\overline{MP}$ bisects $\overline{LN}$. Find $x$.
Choices:
3
4
5
6
Answer: 3
Problem: <image>Find $x$.
Choices:
24
27
72
112
Answer: 27
Problem: <image>In rhombus $A B C D, m \angle D A B=2, m \angle A D C$ and $C B=6$. Find DA
Choices:
3
6
9
12
Answer: 6
Problem: <image>Find y in the figure.
Choices:
5
6
25
36
Answer: 5
Problem: <image>In $\odot R, S U=20, Y W=20,$ and $m \widehat{Y X}=45$.
Find SV
Choices:
10
15
20
45
Answer: 10
Problem: <image>Find z.
Choices:
4
6
9
36
Answer: 6
Problem: <image>$m \angle BAC=40, m \angle DAC=40,$ and $DC=10,$ find $BC$.
Choices:
10
20
30
40
Answer: 10
Problem: <image>In $\odot F$, if $DA=7.4$, what is $EF$?
Choices:
3.7
7.4
11.1
14.8
Answer: 3.7
Problem: <image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
14
16
18
20
Answer: 14
Problem: <image>Find $m\angle E$
Choices:
56
80
126
130
Answer: 126
Problem: <image>In the figure, $\overline{FJ} \cong \overline{FH}$ and $\overline{GF} \cong \overline{GH}$. If $m∠JFH=34$, find $m∠J$.
Choices:
34
73
112
146
Answer: 73
Problem: <image>Find x
Choices:
17.1
18.9
21.2
32.3
Answer: 17.1
Problem: <image>Find $x$.
Choices:
25
30
35
45
Answer: 25
Problem: <image>Find x in the figure below. Round your answer to the nearest tenth if necessary.
Choices:
91.9
93.9
95.9
97.9
Answer: 93.9
Problem: <image>Express the ratio of $\tan V$ as a decimal to the nearest hundredth.
Choices:
0.28
0.29
0.96
3.43
Answer: 0.29
Problem: <image>Find the area of the shaded region. Assume that the triangle is equilateral.
Choices:
20.8
29.5
50.3
71.1
Answer: 29.5
Problem: <image>In $\triangle A B C, C D$ is an altitude and $m \angle A C B=90^{\circ}$ If $A D=12$ and $B D=3,$ find $A C$ to the nearest tenth. 
Choices:
6.5
9.0
13.4
15.0
Answer: 13.4
Problem: <image>If $\overline{E C}$ is an altitude of $\triangle A E D, m \angle 1=2 x+7,$ and $m \angle 2=3 x+13,$ find $m \angle 1$.
Choices:
25
35
45
55
Answer: 35
Problem: <image>Find z.
Choices:
2 \sqrt { 3 }
6
6 \sqrt { 2 }
6 \sqrt { 3 }
Answer: 6 \sqrt { 3 }
Problem: <image>Find $VS$.
Choices:
5
12
15
20
Answer: 20
Problem: <image>A regular hexagon is inscribed in a circle with a diameter of 14. Find the area of the red segment.
Choices:
4.44
8.88
21.22
25.66
Answer: 4.44
Problem: <image>$\overline{AD}$ and $\overline{CG}$ are diameters of $\odot B$. Find $m \widehat {CGD}$.
Choices:
55
275
295
305
Answer: 305
Problem: <image>Find the measure of $\angle 2$ in the figure.
Choices:
105
110
115
120
Answer: 105
Problem: <image>Find the scale factor from $W$ to $W'$.
Choices:
0.75
1.25
1.5
1.75
Answer: 0.75
Problem: <image>Find x
Choices:
21.1
23.4
38.4
45.3
Answer: 38.4
Problem: <image>Find $y$ so that each quadrilateral is a parallelogram.
Choices:
21
30
42
84
Answer: 21
Problem: <image>Find $x$.
Choices:
5
10
15
20
Answer: 15
Problem: <image>Find SC
Choices:
3
7
21
42
Answer: 21
Problem: <image>Find AC
Choices:
7.6
7.8
9.6
11
Answer: 9.6
Problem: <image>Find y.
Choices:
9
6 \sqrt { 3 }
18
18 \sqrt { 3 }
Answer: 6 \sqrt { 3 }
Problem: <image>Find the value of the variable $x$ in the figure.
Choices:
30
40
50
60
Answer: 40
Problem: <image>Find the measure of $RS$ of equilateral triangle $RST$ if $RS = x + 9$, $ST = 2x$, and $RT = 3x - 9$.
Choices:
6
9
12
18
Answer: 18
Problem: <image>$MC=7,RM=4$, and $AT=16$. Find $RB$.
Choices:
6
8
12
15
Answer: 12
Problem: <image>Find $x$ so that each quadrilateral is a parallelogram.
Choices:
6
12
24
30
Answer: 6
Problem: <image>Find the area of the figure. Round to the nearest tenth.
Choices:
12
16
18
24
Answer: 12
Problem: <image>Find x
Choices:
1.5
2.0
8.0
8.5
Answer: 8.5
Problem: <image>Find $x$.
Choices:
107
117
118
135
Answer: 107
Problem: <image>Use the Pythagorean Theorem to find the length of the hypotenuse of each right triangle.
Choices:
\sqrt { 7 }
3
4
5
Answer: 5
Problem: <image>Find $m\angle Q$
Choices:
50
58
60
121
Answer: 121
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
86.6
129.9
150.0
259.8
Answer: 259.8
Problem: <image>For isosceles trapezoid $X Y Z W$ find $m \angle Z$
Choices:
70
90
110
250
Answer: 110
Problem: <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 $m \angle SUV$
Choices:
47
53
55
66
Answer: 47
Problem: <image>Find x. Round to the nearest tenth.
Choices:
4.6
8.0
9.2
17.2
Answer: 9.2
Problem: <image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear
to be tangent are tangent.
Choices:
2
3
4.7
7
Answer: 4.7
Problem: <image>Find x.
Choices:
3
4
5
6
Answer: 6
Problem: <image>Find y in the parallelogram
Choices:
6
12
19
115
Answer: 6
Problem: <image>Find $m\angle 3$.
Choices:
59
81
99
102
Answer: 99
Problem: <image>Find x.
Choices:
\frac { 39 \sqrt { 2 } } { 4 }
\frac { 39 \sqrt { 2 } } { 2 }
\frac { 39 \sqrt { 3 } } { 2 }
39
Answer: \frac { 39 \sqrt { 2 } } { 2 }
Problem: <image>If $m \angle AED=95$ and $m \widehat{AD}=120$, what is $m \angle BAC$?
Choices:
30
35
40
60
Answer: 35
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
3
7
18
24
Answer: 18
Problem: <image>Find x
Choices:
18
27
36
72
Answer: 18
Problem: <image>$ \triangle WXY $  and $ \triangle XYZ $ are isosceles and $m∠XYZ = 128$. Find the measure of $∠WXY$.
Choices:
72
74
76
78
Answer: 76
Problem: <image>Polygons $FGHJK$ and $VWXUZ$ are similar regular pentagons. Find the scale factor.
Choices:
1:2
2:3
3:2
2:1
Answer: 2:3
Problem: <image>Find x
Choices:
2 \sqrt { 6 }
4 \sqrt { 6 }
\frac { 32 } { 3 }
\frac { 50 } { 3 }
Answer: \frac { 50 } { 3 }
Problem: <image>Find $x$.
Choices:
5
7
8
26
Answer: 7
Problem: <image>The triangle is inscribed into the circle. Find the exact circumference of the circle.
Choices:
6 \pi
6 \sqrt 2 \pi
12 \pi
12 \sqrt 2 \pi
Answer: 12 \pi
Problem: <image>Find y.
Choices:
5
5 \sqrt { 2 }
10
10 \sqrt { 2 }
Answer: 10
Problem: <image>Find the value of the variable $y$ in the figure.
Choices:
12
24
60
120
Answer: 12
Problem: <image>Find $m\angle D$
Choices:
30
60
90
120
Answer: 60
Problem: <image>In $\triangle PQR$, $ZQ=3a-11$, $ZP=a+5$, $PY=2 c-1$, $YR=4 c-11$, $m \angle PRZ=4 b-17$, $m \angle ZRQ=3 b-4$, $m \angle QYR=7 b+6$, and $m \angle PXR=2 a+10$.  Find $PR$ if $\overline{QY}$ is a median.
Choices:
14
16
18
20
Answer: 18
Problem: <image>Quadrilateral $WXYZ$ is a rectangle. Find the measure of $\angle 12$ if $m∠1 = 30$.
Choices:
60
90
120
150
Answer: 120
Problem: <image>Find z
Choices:
2 \sqrt { 6 }
\sqrt { 33 }
2 \sqrt { 11 }
24
Answer: 2 \sqrt { 6 }
Problem: <image>Triangle $ABC$ is similar to triangle $DEF$. Find the scale factor.

Choices:
\frac { 1 } { 2 }
\frac { 1 } { 1 }
\frac { 2 } { 1 }
\frac { 4 } { 1 }
Answer: \frac { 2 } { 1 }
Problem: <image>Find x.
Choices:
\sqrt { 7 }
\sqrt { 10 }
\sqrt { 11 }
\sqrt { 13 }
Answer: \sqrt { 11 }
Problem: <image>In $\odot G, m \angle A G B=30$ and $\overline{C G} \perp \overline{G D}$.
Find $m \widehat{C D F}$
Choices:
30
90
120
150
Answer: 120
Problem: <image>$\triangle PQS \cong \triangle RQS$. Find $y$.
Choices:
8
12
16
20
Answer: 8
Problem: <image>Find the area of the regular polygon. Round to the nearest tenth.
Choices:
26.5
106.1
212.1
424.2
Answer: 212.1
Problem: <image>$m∠4 = 32$. Find the measure of $\angle 3$.
Choices:
32
58
90
180
Answer: 90
Problem: <image>QRST is an isosceles trapezoid with median $\overline{X Y}$
Find $T S$ if $Q R=22$ and $X Y=15$
Choices:
2
4
8
16
Answer: 8
Problem: <image>Find the area of the figure. Round to the nearest tenth.
Choices:
75.6
91.2
96
101.6
Answer: 91.2
Problem: <image>Lines $l$, $m$, and $n$ are perpendicular bisectors of $\triangle PQR$ and meet at $T$. If $TQ = 2x$, $PT = 3y - 1$, and $TR = 8$, find $y$.
Choices:
3
4
5
6
Answer: 3
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
702
855
1008
1710
Answer: 855
Problem: <image>Find the area of the figure. Round to the nearest tenth.
Choices:
78
364
374
484
Answer: 374
Problem: <image>In the figure, $a ∥ b, c ∥ d$, and $m∠4 = 57$. Find the measure of $\angle 5$.
Choices:
57
113
123
133
Answer: 123
Problem: <image>$\triangle ABC$ is an isosceles triangle with base $BC$. What is the perimeter of the triangle?
Choices:
5
12
14
40
Answer: 40
Problem: <image>Find $m \angle 7$.
Choices:
30
37
49
53
Answer: 53
Problem: <image>In parallelogram $ABCD$, $\overline{BD}$ and $\overline{AC}$ intersect at $E$. If $AE = 9$, $BE = 3x - 7$, and $DE = x + 5$, find $x$.
Choices:
4
5
6
7
Answer: 6
Problem: <image>Find z.
Choices:
20
20 \sqrt { 3 }
40
20 \sqrt { 5 }
Answer: 20 \sqrt { 5 }
Problem: <image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
Choices:
134
152
170
202
Answer: 170
Problem: <image>Find the area of the shaded sector. Round to the nearest tenth, if necessary.
Choices:
15.3
52.6
82.4
284.0
Answer: 284.0
Problem: <image>Find z
Choices:
2 \sqrt { 6 }
6
4 \sqrt { 3 }
12
Answer: 2 \sqrt { 6 }
Problem: <image>The diameters of $\odot A, \odot B,$ and $\odot C$ are $8$ inches, $18$ inches, and $11$ inches, respectively. Find $FG$.
Choices:
7
8
14
16
Answer: 14
Problem: <image>Find $x$.
Choices:
3
6
13
19
Answer: 13
Problem: <image>If $m \angle AFB = 8x - 6$ and $m \angle BFC = 14x + 8$, find the value of $x$ so that $\angle AFC$ is a right angle.
Choices:
2
3
4
5
Answer: 4
Problem: <image>Find $x$ in the figure.
Choices:
14
15
16
17
Answer: 16
Problem: <image>If $A N$ is 5 meters long, find the exact circumference of $\odot N .$
Choices:
\pi
10
5 \pi
10 \pi
Answer: 10 \pi
Problem: <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 { 1 } { 3 }
\frac { 1 } { \sqrt { 3 } }
\frac { \sqrt { 3 } } { 1 }
\frac { 3 } { 1 }
Answer: \frac { 1 } { \sqrt { 3 } }
Problem: <image>In the figure, $m∠11 = 62$ and $m∠14 = 38$. Find the measure of $\angle 6$.
Choices:
38
62
118
142
Answer: 38
Problem: <image>Find $m\angle U$
Choices:
60
68
76
136
Answer: 60
Problem: <image>Find y.
Choices:
8 \sqrt { 3 }
12 \sqrt { 3 }
24
16 \sqrt { 3 }
Answer: 8 \sqrt { 3 }
Problem: <image>Find $z$ in the figure.
Choices:
132
138
142
148
Answer: 142
Problem: <image>What is the area of rectangle $WXYZ$?
Choices:
18.6
20.4
21.2
22.8
Answer: 18.6
Problem: <image>Find y
Choices:
21.4
24.1
32.6
43.1
Answer: 32.6
Problem: <image>If $WXYZ$ is a kite, find $ZY$.
Choices:
\sqrt { 10 }
8
16
8 \sqrt { 10 }
Answer: 8 \sqrt { 10 }
Problem: <image>$\triangle JKL \sim \triangle WYZ$. Find $y$.
Choices:
44
56
65
71
Answer: 65
Problem: <image>If $\overline{B E} \cong \overline{E D}$ and $m \widehat{E D}=120,$ find $m \widehat{B E}$
Choices:
120
135
160
175
Answer: 120
Problem: <image>Each pair of polygons is similar. Find CD
Choices:
3.333
\frac { 10 } { 3 }
4
10
Answer: \frac { 10 } { 3 }
Problem: <image>The square is circumscribed to the circle. Find the exact circumference of the circle.
Choices:
12.5 \pi
25 \pi
30 \pi
50 \pi
Answer: 25 \pi
Problem: <image>Find $\angle 6$
Choices:
110
140
150
220
Answer: 110
Problem: <image>Find x. Round the angle measure to the nearest degree.
Choices:
12
15
18
21
Answer: 15
Problem: <image>In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 3$.
Choices:
104
106
114
116
Answer: 116
Problem: <image>Find $m\angle T$
Choices:
44
46
54
134
Answer: 46
Problem: <image>Find the measure of $\angle 3$ if $m \angle D G F=53$ and $m \angle A G C=40$.
Choices:
37
40
50
53
Answer: 50
Problem: <image>Find $m \angle S$.
Choices:
24
48
66
78
Answer: 66
Problem: <image>Use parallelogram PQRS to find $QR$
Choices:
3
5
15
53
Answer: 3
Problem: <image>Find $\sin x$
Choices:
\frac { \sqrt { 2 } } { 10 }
\frac { \sqrt { 2 } } { 5 }
\frac { \sqrt { 5 } } { 5 }
\frac { 2 \sqrt { 2 } } { 5 }
Answer: \frac { 2 \sqrt { 2 } } { 5 }
Problem: <image>Find x.
Choices:
\frac { \sqrt { 5 } } { 10 }
\frac { \sqrt { 10 } } { 10 }
\frac { \sqrt { 5 } } { 5 }
\frac { \sqrt { 10 } } { 5 }
Answer: \frac { \sqrt { 10 } } { 5 }
Problem: <image>Find the area of the shaded sector. Round to the nearest tenth.
Choices:
6.7
8.1
8.3
10.0
Answer: 10.0
Problem: <image>Find x.
Choices:
7
7 \sqrt { 2 }
7 \sqrt { 3 }
14
Answer: 7 \sqrt { 2 }
Problem: <image>Refer to the figure at the right. Find z.
Choices:
8.80
9.58
11.09
13.11
Answer: 11.09
Problem: <image>Find $m \angle 5$.
Choices:
53
75
85
88
Answer: 85
Problem: <image>In $\odot G, m \angle A G B=30$ and $\overline{C G} \perp \overline{G D}$.
Find $m \widehat{B C D}$
Choices:
30
45
120
150
Answer: 150
Problem: <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 { 9 } { 25 }
\frac { 3 } { 5 }
\frac { 5 } { 3 }
\frac { 25 } { 9 }
Answer: \frac { 5 } { 3 }
Problem: <image>Find y. Round to the nearest tenth, if necessary.
Choices:
8.6
9
12.25
24
Answer: 8.6
Problem: <image>Find x. Assume that any segment that appears to be tangent is tangent.
Choices:
9
45
60
105
Answer: 9
Problem: <image>Find the area of the kite.
Choices:
168
177
178.5
357
Answer: 178.5
Problem: <image>In $\triangle EDF$, $T$ is the centroid and $FT=12$. Find $TQ$.
Choices:
3
6
12
24
Answer: 6
Problem: <image>Find $m \angle 2$.
Choices:
15
55
70
75
Answer: 75
Problem: <image>Find x
Choices:
7
9
12
15
Answer: 7
Problem: <image>For trapezoid $Q R S T, A$ and $B$ are midpoints of the legs. Find $m \angle Q$
Choices:
45
60
120
135
Answer: 60
Problem: <image>The diameters of $\odot A, \odot B,$ and $\odot C$ are 10, 30 and 10 units, respectively. Find AZ if $\overline{A Z} \cong \overline{C W}$ and $C W=2$

Choices:
2
4
10
30
Answer: 2
Problem: <image>In $\odot P$, $RT=11$, find $m \widehat {QRS}$. Round to the nearest hundredth.
Choices:
15.55
19.01
31.10
38.01
Answer: 19.01
Problem: <image>Find $y$ so that the quadrilateral is a parallelogram.
Choices:
8
9
25
96
Answer: 8
Problem: <image>In the figure, $m∠1 = 50$ and $m∠3 = 60$. Find the measure of $\angle 5$.
Choices:
50
60
70
80
Answer: 60
Problem: <image>Find $m \angle 1$.
Choices:
78
115
120
128
Answer: 128
Problem: <image>Find $m \angle AEB$.
Choices:
71
109
142
143
Answer: 109
Problem: <image>If $m \widehat{B C}=30$ and $\overline{A B} \cong \widehat{C D},$ find $m \widehat{A B}$
Choices:
75
90
105
120
Answer: 75
Problem: <image>Equilateral pentagon $P Q R S T$ is inscribed in $\odot U$.
Find $m \angle P T S$
Choices:
36
72
120
144
Answer: 144
Problem: <image>$a=8, b=15,$ and $c=17$ find $tanA$
Choices:
0.33
0.47
0.53
0.57
Answer: 0.53
Problem: <image>Find $m \angle JKL$.
Choices:
30
50
60
80
Answer: 60
Problem: <image>Find y.
Choices:
6
3 \sqrt { 5 }
9
3 \sqrt { 13 }
Answer: 3 \sqrt { 13 }
Problem: <image>In $\triangle ABC, \overline{BD}$ is a median. If $AD=3x+5$ and $CD=5x-1,$ find $AC$.
Choices:
6
12
14
28
Answer: 28
Problem: <image>Find PQ
Choices:
12
15
16
18
Answer: 15
Problem: <image>In the figure, $m∠1 = 94$. Find the measure of $\angle 3$.
Choices:
76
86
94
96
Answer: 94
Problem: <image>$a=8, b=15,$ and $c=17$ find $cosB$
Choices:
0.43
0.47
0.53
0.57
Answer: 0.47
Problem: <image>Find AB
Choices:
12
24
48
60
Answer: 60
Problem: <image>Find x. Round the side measure to the nearest tenth.
Choices:
14.3
17.4
96.5
117.6
Answer: 117.6
Problem: <image>$m∠4 = 32$. Find the measure of $\angle 5$.
Choices:
32
58
68
90
Answer: 58
Problem: <image>Find $x$.
Choices:
10
20
30
40
Answer: 40
Problem: <image>What is the area of the shaded region if $r=4$.
Choices:
16 - 16 \pi
16 - 8 \pi
64 - 16 \pi
64 - 8 \pi
Answer: 64 - 16 \pi
Problem: <image>Find $m\angle A$
Choices:
45
90
180
360
Answer: 90
Problem: <image>Find $x$.
Choices:
35
55
70
110
Answer: 70
Problem: <image>Find $z$.
Choices:
15
18
20
24
Answer: 20
Problem: <image>Find x.
Choices:
\frac { 14 \sqrt { 3 } } { 3 }
7 \sqrt { 2 }
14
14 \sqrt { 3 }
Answer: \frac { 14 \sqrt { 3 } } { 3 }
Problem: <image>In the figure, $m ∠9 = 75$. Find the measure of $\angle 8$.
Choices:
75
85
95
105
Answer: 105
Problem: <image>Find $m\angle Z$
Choices:
18
36
72
144
Answer: 144
Problem: <image>Find the measure of $\angle DFB$ on $\odot F$ with diameter $\overline{AC} $.
Choices:
163
165
167
169
Answer: 165
Problem: <image>Find x.
Choices:
\frac { 13 } { 2 }
\frac { 13 \sqrt { 2 } } { 2 }
\frac { 13 \sqrt { 3 } } { 2 }
13 \sqrt { 2 }
Answer: \frac { 13 \sqrt { 2 } } { 2 }
Problem: <image>Find the measure of $\angle 3$.
Choices:
47
49
55
57
Answer: 49
Problem: <image>Find $x$.
Choices:
12
16
20
29
Answer: 20
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
36
120
156
192
Answer: 156
Problem: <image>Find the perimeter of $\triangle C P D$ if the perimeter of $\triangle B P A$ is 12 $, B M=\sqrt{13},$ and $C N=3 \sqrt{13}$
Choices:
6
12
24
36
Answer: 36
Problem: <image>$P$ is the incenter of $\triangle AEC$. Find $m \angle DAC$.
Choices:
28.5
30
31
33
Answer: 33
Problem: <image>Find $m \angle JMK$.
Choices:
79
101
102
103
Answer: 102
Problem: <image>Find $x$.
Choices:
2
3
5
6
Answer: 6
Problem: <image>$JKMN$ is a rectangle. If $NQ=2x+3$ and $QK=5x-9$, find $JQ$.
Choices:
4
6
9
11
Answer: 11
Problem: <image>Find x.
Choices:
13
14
15
16
Answer: 15
Problem: <image>Find the value of the variable $y$ in the figure.
Choices:
14
16.7
42
86
Answer: 14
Problem: <image>Find $RT$.
Choices:
12
15
16
20
Answer: 15
Problem: <image>Find y
Choices:
2.2
3
5
6
Answer: 3
Problem: <image>Find the value of x.
Choices:
1.02
2.04
4.08
8.17
Answer: 4.08
Problem: <image>$\odot P$ is inscribed in equilateral triangle $LMN$. What is the circumference of $\odot P$?
Choices:
\frac { 8 } { 3 } \pi
\frac { 8 } { \sqrt 3 } \pi
8 \sqrt 3 \pi
24 \pi
Answer: \frac { 8 } { \sqrt 3 } \pi
Problem: <image>$\triangle K L N$ and $\triangle L M N$ are isosceles and $m \angle J K N=130$. Find the measure of $\angle LNM$.
Choices:
18
20
21
25
Answer: 20
Problem: <image>If $\overline{M N} \| \overline{P Q}$, use a proportion to find the value of $x$. 
Choices:
5
8
10
12
Answer: 10
Problem: <image>Find $x$. (Hint: Draw an auxiliary line.)
Choices:
105
120
125
130
Answer: 130
Problem: <image>Find $m\angle 3$
Choices:
32
64
128
148
Answer: 32
Problem: <image>If $b=18,$ find $c$ 
Choices:
9
6 \sqrt { 3 }
18
12 \sqrt { 3 }
Answer: 12 \sqrt { 3 }
Problem: <image>Use parallelogram NQRM to find w
Choices:
4
12
14
29
Answer: 12
Problem: <image>Solve for $x$ in the figure below.
Choices:
31
59
65
115
Answer: 31
Problem: <image>Find y.
Choices:
6
12
6 \sqrt { 6 }
12 \sqrt { 3 }
Answer: 12
Problem: <image>If $D E=60$ and $F C=16,$ find $A B$
Choices:
16
34
60
68
Answer: 68
Problem: <image>The height of a triangle is 5 centimeters more than its base. The area of the triangle is 52 square centimeters. Find the base.
Choices:
5.1
8
9.9
13
Answer: 8
Problem: <image>Points $S$, $T$, and $U$ are the midpoints of $\overline{DE}$, $\overline{EF}$, and $\overline{DF}$, respectively. Find $z$.
Choices:
0.383
0.575
1.15
2.875
Answer: 0.575
Problem: <image>Find x
Choices:
20
37.5
42.5
45
Answer: 42.5
Problem: <image>In $\odot G, m \angle A G B=30$ and $\overline{C G} \perp \overline{G D}$.
Find $m \widehat{B C}$
Choices:
30
45
60
90
Answer: 60
Problem: <image>Find $b$.
Choices:
15
18
24
27
Answer: 18
Problem: <image>Find $SR$.
Choices:
12
24
27
28
Answer: 24
Problem: <image>Find the area of the regular polygon. Round to the nearest tenth.
Choices:
31.2
62.4
124.8
144
Answer: 62.4
Problem: <image>In the figure, $m ∠9 = 75$. Find the measure of $\angle 12$.
Choices:
75
85
95
105
Answer: 105
Problem: <image>Find x.
Choices:
\frac { 4 } { 9 }
\frac { 4 } { 9 } \sqrt { 2 }
\frac { 4 } { 9 } \sqrt { 3 }
\frac { 4 } { 9 } \sqrt { 5 }
Answer: \frac { 4 } { 9 } \sqrt { 3 }
Problem: <image>If QRST is a parallelogram, find $x$
Choices:
5.4
9
11
13
Answer: 5.4
Problem: <image>Find the measure of $m \widehat{GH}$.
Choices:
28
56
84
112
Answer: 56
Problem: <image>Find y. Round to the nearest tenth.
Choices:
5.5
8.6
10.9
11.7
Answer: 11.7
Problem: <image>WXYZ is a square. If $WT = 3$, Find $XY$
Choices:
3
3 \sqrt { 2 }
6
10
Answer: 3 \sqrt { 2 }
Problem: <image> In $\odot Z, P Z=Z Q$, $X Y=4 a-5,$ and $S T=-5 a+13$
Find $S Q$
Choices:
1.5
2
3
4
Answer: 1.5
Problem: <image>Find x.
Choices:
11.0
11.5
12.0
12.5
Answer: 12.0
Problem: <image>Find x.
Choices:
5 \sqrt { 3 }
15
15 \sqrt { 3 }
30
Answer: 5 \sqrt { 3 }
Problem: <image>Find x
Choices:
\sqrt { 7 }
\sqrt { 21 }
2 \sqrt { 21 }
21
Answer: 2 \sqrt { 21 }
Problem: <image>Find x
Choices:
5
12
24
26
Answer: 24
Problem: <image>Find the perimeter of each polygon for the given information.
$C F=6(3-x), D B=12 y-4$
Choices:
36
72
90
108
Answer: 36
Problem: <image>Circle $J$ has a radius of $10$ units, $\odot K$ has a radius of $8$ units, and $BC=5.4$ units. Find $AB$.
Choices:
12.6
14.6
20.6
30.6
Answer: 14.6
Problem: <image>Find the perimeter of the given triangle. $\triangle A B C,$ if $\triangle A B C \sim \triangle C B D, C D=4$, $D B=3,$ and $C B=5$.
Choices:
15
16
18
20
Answer: 20
Problem: <image>Find x
Choices:
44.9
46.9
57.1
58.1
Answer: 44.9
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
56
82.2
164.3
328.6
Answer: 164.3
Problem: <image>In $\triangle RST$, $Z$ is the centroid and $RZ=18$. Find $SZ$.
Choices:
5
9
10
18
Answer: 10
Problem: <image>In the figure, $m∠3 = 110$ and $m ∠ 12 = 55$. Find the measure of $∠6$.
Choices:
110
115
120
125
Answer: 110
Problem: <image>Equilateral pentagon $P Q R S T$ is inscribed in $\odot U$.
Find $m \angle P Q R$
Choices:
60
72
90
108
Answer: 108
Problem: <image>Find x to the nearest tenth.
Choices:
5.8
7.25
9.67
29
Answer: 9.67
Problem: <image>Find $x$ so that the quadrilateral is a parallelogram.
Choices:
30
40
70
85
Answer: 40
Problem: <image>Quadrilateral MNOP is a rhombus. If $m\angle PON = 124$, find $m\angle POM$.
Choices:
12
56
62
124
Answer: 62
Problem: <image>Find the area of the shaded region. Assume the inscribed polygon is regular.
Choices:
3.3
6.5
12.3
19.6
Answer: 3.3
Problem: <image>$\triangle PQS \cong \triangle RQS$. Find $x$.
Choices:
8
12
16
20
Answer: 16
Problem: <image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
Choices:
16.8
19.2
21.6
22.7
Answer: 19.2
Problem: <image>Find y in the figure.
Choices:
20
30
40
50
Answer: 40
Problem: <image>parallelogram MNPQ with $m \angle M=10 x$ and $m \angle N=20 x$, find $\angle P$
Choices:
30
45
60
120
Answer: 60
Problem: <image>Quadrilateral ABCD is a rectangle. $m\angle 2 = 40$. Find $m \angle 7$
Choices:
40
45
50
90
Answer: 40
Problem: <image>Find x in the parallelogram
Choices:
7
14
15
23
Answer: 7
Problem: <image>Find the measure of the altitude drawn to the hypotenuse.
Choices:
\sqrt { 7 }
3
7
7 \sqrt { 3 }
Answer: 7 \sqrt { 3 }
Problem: <image>Each pair of polygons is similar. Find AB
Choices:
1.6
\frac { 16 } { 3 }
6
10
Answer: \frac { 16 } { 3 }
Problem: <image>Find x
Choices:
7
7 \sqrt { 3 }
14
7 \sqrt { 5 }
Answer: 7 \sqrt { 3 }
Problem: <image>The degree measures of minor arc $\widehat{A C}$ and major arc $\widehat{A D C}$ are $x$ and $y$ respectively. If $m∠ABC = 70°$, find $y$.
Choices:
110
180
250
270
Answer: 250
Problem: <image>$\triangle RSV \cong \triangle TVS$. Find $y$.
Choices:
11
11.5
12
12.5
Answer: 12.5
Problem: <image>Find z.
Choices:
4 \sqrt { 2 }
4 \sqrt { 3 }
8
8 \sqrt { 3 }
Answer: 8
Problem: <image>Find x.
Choices:
\frac { 15 } { 2 }
\frac { 15 } { 2 } \sqrt { 2 }
\frac { 15 } { 2 } \sqrt { 3 }
15 \sqrt { 3 }
Answer: \frac { 15 } { 2 } \sqrt { 3 }
Problem: <image>Use a Pythagorean Triple to find x.
Choices:
50
52
54
56
Answer: 50
Problem: <image>Find x
Choices:
8 \sqrt { 6 }
20
28
4 \sqrt { 74 }
Answer: 4 \sqrt { 74 }
Problem: <image>Find x
Choices:
6
6.25
6.5
6.75
Answer: 6.75
Problem: <image>Find $x$.
Choices:
70
110
140
150
Answer: 150
Problem: <image>The diameter of $\odot S$ is $30$ units, the diameter of $\odot R$ is $20$ units, and $DS=9$ units. Find $CD$.
Choices:
4
6
9
12
Answer: 6
Problem: <image>Find the measure of $\angle 4$ if $m∠4= m∠5$.
Choices:
32
44
47
53
Answer: 32
Problem: <image>For the pair of similar figures, use the given areas to find $x$.
Choices:
8.4
11.3
20.0
26.7
Answer: 20.0
Problem: <image>Find the area of $▱EFGH$.
Choices:
64
90
110
127
Answer: 90
Problem: <image>Find x.
Choices:
5
10
15
25
Answer: 10
Problem: <image>Find x
Choices:
12
26 / 2
\frac { 40 } { 3 }
14
Answer: \frac { 40 } { 3 }
Problem: <image>In the figure, $m∠1 = 123$. Find the measure of $\angle 11$.
Choices:
57
67
113
123
Answer: 123
Problem: <image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
2.1
2.6
3.1
3.6
Answer: 3.1
Problem: <image>Find $m \angle B$.
Choices:
24
36
48
72
Answer: 36
Problem: <image>Find the area of the triangle. Round to the nearest hundredth.
Choices:
11.70
23.39
28.52
46.79
Answer: 23.39
Problem: <image>Find $WZ$.
Choices:
18
24
30
32
Answer: 30
Problem: <image>Find the length of $\widehat {ZY}$. Round to the nearest hundredth.
Choices:
3.76
4.64
5.24
7.28
Answer: 5.24
Problem: <image>Find x
Choices:
8
8 \sqrt { 3 }
16
16 \sqrt { 3 }
Answer: 8 \sqrt { 3 }
Problem: <image>Find x.
Choices:
4
6
4 \sqrt { 3 }
8 \sqrt { 3 }
Answer: 4 \sqrt { 3 }
Problem: <image>What is the length of $R T ?$
Choices:
5
5 \sqrt { 2 }
5 \sqrt { 3 }
10
Answer: 5 \sqrt { 2 }
Problem: <image>Find $x$ so that $ m \parallel n $.
Choices:
- 8
8
8.67
48
Answer: - 8
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
6
7
8
9
Answer: 9
Problem: <image>Polygon $BCDE$ $\cong$ polygon $RSTU$. Find $x$.
Choices:
3
10
20
42
Answer: 20
Problem: <image>Quadrilateral WXYZ is a rectangle. If $XZ = 2c$ and $ZY = 6$, and $XY = 8$, find $WY$.
Choices:
6
8
10
20
Answer: 10
Problem: <image>If $\overline{P Q} \cong \overline{Q S}$, $\overline{Q R} \cong \overline{R S}$, and $m \angle P R S=72$, what is the measure of $\angle Q P S$ ?
Choices:
27
54
63
72
Answer: 27
Problem: <image>Find $FH$.
Choices:
8
10
12
60
Answer: 12
Problem: <image>Find the area of the triangle. Round to the nearest tenth if necessary.
Choices:
75
106.1
129.9
150
Answer: 129.9
Problem: <image>Use parallelogram MNPR to find $z$
Choices:
6.1
11.1
15.3
18.3
Answer: 6.1
Problem: <image>$\overline{JH}, \overline{JP},$ and $\overline{PH}$ are midsegments of $\triangle KLM$. Find $x$.
Choices:
12.5
20
25
50
Answer: 50
Problem: <image>Find x.
Choices:
4 \sqrt { 2 }
4 \sqrt { 3 }
8 \sqrt { 2 }
8 \sqrt { 3 }
Answer: 4 \sqrt { 3 }
Problem: <image>Find $JK$.
Choices:
6
18
24
42
Answer: 24
Problem: <image>In $\odot P, m \widehat{E N}=66$ and $m \angle G P M=89$ . 
Find $m \angle E G N$
Choices:
33
66
89
155
Answer: 33
Problem: <image>In $\odot F, \overline{F H} \cong \overline{F L}$ and $\mathrm{FK}=17$.
Find LK
Choices:
8
15
16
17
Answer: 15
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
41.0
57.9
70.9
81.9
Answer: 57.9
Problem: <image>Line $l$ is parallel to line $m$. What is the value of $x$?
Choices:
30
40
50
60
Answer: 50
Problem: <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  $m \angle X Y W$
Choices:
18
37
53
90
Answer: 53
Problem: <image>Find x. Round side measures to the nearest tenth.
Choices:
7.0
8.1
59.7
68.8
Answer: 8.1
Problem: <image>Find $x$. $A = 92$ in$^2$.
Choices:
4.2
6.3
8.4
10.5
Answer: 8.4
Problem: <image>Find $y$ and so that each quadrilateral is a parallelogram.
Choices:
\frac { 2 } { 3 }
\frac { 4 } { 3 }
\frac { 16 } { 3 }
7
Answer: \frac { 4 } { 3 }
Problem: <image>Find $\angle D$ of quadrilateral ABCD
Choices:
45
90
135
180
Answer: 45
Problem: <image>Quadrilateral MNOP is a rhombus. If PR = 12, find RN.
Choices:
6
12
20
24
Answer: 12
Problem: <image>Polygon ABCD ~ polygon AEFG, $m\angle AGF = 108$, GF = 14, AD = 12, DG = 4.5, EF = 8, and AB = 26.
Find the perimeter of trapezoid ABCD
Choices:
12
52
73.2
100
Answer: 73.2
Problem: <image>Find $RS$.
Choices:
15
16
20
25
Answer: 20
Problem: <image>Find $\angle B$ of quadrilateral ABCD
Choices:
45
90
135
180
Answer: 90
Problem: <image>In the figure, $a ∥ b, c ∥ d$, and $m∠4 = 57$. Find the measure of $\angle 10$.
Choices:
57
113
123
133
Answer: 57
Problem: <image>Find the area of $▱ ABCD$.
Choices:
30
40
50
60
Answer: 50
Problem: <image>Find $RT$.
Choices:
4
6
8
10
Answer: 8
Problem: <image>Find the measure of $ \angle 1$ in the figure.
Choices:
75
80
85
90
Answer: 80
Problem: <image>Find AB
Choices:
4
6
10
11
Answer: 10
Problem: <image>find cos B
Choices:
\frac { 5 } { 7 }
\frac { 16 } { 21 }
\frac { 15 } { 16 }
\frac { 16 } { 15 }
Answer: \frac { 5 } { 7 }
Problem: <image>Find the area of the shaded sector. Round to the nearest tenth.
Choices:
7.4
21.4
42.9
50.3
Answer: 7.4
Problem: <image>In the figure, $QR \| TS$, $QT \| RS$, and $m \angle 1=131$. Find the measure of $\angle 4$. 
Choices:
49
59
69
131
Answer: 49
Problem: <image>Find y.
Choices:
10
10 \sqrt { 2 }
10 \sqrt { 3 }
20
Answer: 10 \sqrt { 3 }
Problem: <image>Find $JM$.
Choices:
4.5
5.5
6
11
Answer: 5.5
Problem: <image>Use parallelogram to  find $x$
Choices:
5
10
11
17
Answer: 5
Problem: <image>Find x. Round to the nearest tenth.
Choices:
15.7
18.9
23.2
33.8
Answer: 23.2
Problem: <image>Find the area of the shaded sector. Round to the nearest tenth, if necessary.
Choices:
10.0
27.4
65.5
78.5
Answer: 10.0
Problem: <image>In the figure, the vertices of quadrilateral ABCD intersect square EFGH and divide its sides into segments with measures that have a ratio of 1:2. Find the area of ABCD.
Choices:
40.5
45
63
81
Answer: 45
Problem: <image>Find $m\angle Z X V$
Choices:
25
65
115
130
Answer: 115
Problem: <image>Refer to the triangle shown below. Find $z$ to the nearest tenth.
Choices:
7.5
10
12.5
\frac { 5 } { 2 } \sqrt { 41 }
Answer: \frac { 5 } { 2 } \sqrt { 41 }
Problem: <image>Find the perimeter of $\triangle P Q R,$ if $\triangle P Q M \sim \triangle P R Q$

Choices:
30
65
78
81
Answer: 78
Problem: <image>$\triangle RST \cong \triangle VUT$. What is the area of $\triangle RST$?
Choices:
150
300
450
600
Answer: 300
Problem: <image>Find x
Choices:
7.3
25.8
29.1
33.4
Answer: 29.1
Problem: <image>Find $\angle V$
Choices:
44
46
54
134
Answer: 46
Problem: <image>Find $x$ if $\triangle JMN$ is an isosceles triangle with $\overline{JM} \cong \overline{M N}$.
Choices:
2
3
4
4
Answer: 4
Problem: <image>Find the value of $x$ in each diagram
Choices:
36
37
38
74
Answer: 37
Problem: <image>Find $x$ in the figure.
Choices:
68
102
112
122
Answer: 112
Problem: <image>QRST is a rectangle. If $Q P=3 x+11$ and $P S=4 x+8,$ find $Q S$
Choices:
10
20
25
40
Answer: 40
Problem: <image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear
to be tangent are tangent.
Choices:
2
4
6
8
Answer: 6
Problem: <image>Use parallelogram $JKLM$ to find $m \angle JML$.
Choices:
60
70
80
90
Answer: 80
Problem: <image>Find $m \angle JLK$.
Choices:
30
40
50
70
Answer: 40
Problem: <image>In the figure, $\overline{FJ} \cong \overline{FH}$ and $\overline{GF} \cong \overline{GH}$. If $m∠GHJ=152$ and  $m∠G=32$, find $m∠JFH$.
Choices:
12
24
32
78
Answer: 24
Problem: <image>$UJ=9, VJ=3$, and $ZT=18$. Find $YJ$.
Choices:
3
4.5
6
9
Answer: 4.5
Problem: <image>Find the perimeter of the figure in feet. Round to the nearest tenth, if necessary.
Choices:
8
14.4
16
18.9
Answer: 16
Problem: <image>Find $JM$ if $\triangle JMN$ is an isosceles triangle with $\overline{JM} \cong \overline{M N}$.
Choices:
2
3
4
5
Answer: 3
Problem: <image>Find the area of the kite. 
Choices:
28
44
72
144
Answer: 72
Problem: <image>For trapezoid QRTU, V and S are midpoints of the legs.  If RQ = 5 and VS = 11, find UT.
Choices:
5
12
17
20
Answer: 17
Problem: <image>Find the area of the regular polygon. Round to the nearest tenth.
Choices:
47.6
118.9
237.8
475.6
Answer: 237.8
Problem: <image>Find y.
Choices:
8
8 \sqrt { 2 }
12
8 \sqrt { 3 }
Answer: 8 \sqrt { 2 }
Problem: <image>Find the area of the trapezoid.
Choices:
28
42
84
168
Answer: 84
Problem: <image>find tan A
Choices:
\frac { 15 } { 21 }
\frac { 16 } { 21 }
\frac { 15 } { 16 }
\frac { 16 } { 15 }
Answer: \frac { 15 } { 16 }
Problem: <image>Find $m∠1$.
Choices:
31
36
67
77
Answer: 67
Problem: <image>In $\triangle ACE$, $P$ is the centroid. $PF=6$ and $AD=15$. Find $AP$.
Choices:
6
10
12
15
Answer: 10
Problem: <image>In the figure, $m∠11 = 62$ and $m∠14 = 38$. Find the measure of $\angle 2$.
Choices:
38
62
80
90
Answer: 80
Problem: <image>Find y
Choices:
30
45
60
90
Answer: 30
Problem: <image>Each triangle in the figure is a $30^{\circ}-60^{\circ}-90^{\circ}$ triangle. Find $x$
Choices:
2
2.25
3.5
4.5
Answer: 2.25
Problem: <image>Find y.
Choices:
\frac { 2 } { 3 } \sqrt { 2 }
\frac { 2 } { 3 } \sqrt { 5 }
2 \sqrt { 2 }
2 \sqrt { 5 }
Answer: \frac { 2 } { 3 } \sqrt { 5 }
Problem: <image>If PR || WX, WX = 10, XY = 6, WY = 8, RY = 5, and PS = 3, find SY
Choices:
3
4
6
6.5
Answer: 4