Yuting6/Geo3k-augmentation huggingface dataset:
Problem: <image>Find x. Round to the nearest tenth, if necessary.
Choices:
8
9
10
11
Answer: 11
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 ratio between the areas of ABCD and EFGH.
Choices:
1:4
1:2
5:9
1: \sqrt 2
Answer: 5:9
Problem: <image>Find the value of $f$ in the parallelogram
Choices:
14
18
36
56
Answer: 14
Problem: <image>Find the value of the variable $y$ in the figure.
Choices:
55
115
125
135
Answer: 125
Problem: <image>Find $m\angle S$
Choices:
68
80
123
125
Answer: 123
Problem: <image>Find $x$ so that $ m \parallel n $.
Choices:
10
11
12
13
Answer: 13
Problem: <image>Find $ m ∠RSU $ so that $ m \parallel n $.
Choices:
114
116
120
124
Answer: 124
Problem: <image>Find $x$.
Choices:
6
9
12
15
Answer: 12
Problem: <image>Find the perimeter of the $\triangle A B C,$ if $\triangle A B C \sim \triangle C B D, A D=5$, $C D=12,$ and $B C=31.2$
Choices:
32.5
72
78
187.2
Answer: 78
Problem: <image>$\overline{AB}$ is a diameter, $AC=8$ inches, and $BC=15$ inches. Find the diameter of the circle.
Choices:
8
8.5
15
17
Answer: 17
Problem: <image>Find $\angle 10$
Choices:
50
80
100
160
Answer: 50
Problem: <image>Find the measure of $\angle 7$ if $\overline{A B} \perp \overline{B C}$.
Choices:
110
120
130
140
Answer: 140
Problem: <image>Find $m \widehat {CF}$.
Choices:
40
49
80
98
Answer: 80
Problem: <image>$\overline{BC} \| \overline{DF}$. $AC=15$, $BD=3x-2$, $CF=3x+2$, and $AB=12$. Find $x$.
Choices:
3
4
5
6
Answer: 6
Problem: <image>Each pair of polygons is similar. Find y
Choices:
70
80
100
150
Answer: 70
Problem: <image>Find x.
Choices:
9
12
15
16
Answer: 12
Problem: <image>Quadrilateral ABCD is a rectangle. If $m\angle ADB = 4x + 8$ and $m\angle DBA = 6x + 12$, find x.
Choices:
7
20
36
54
Answer: 7
Problem: <image>Find $x$.
Choices:
1
2
3
4
Answer: 2
Problem: <image>Find x
Choices:
22
24
43
68
Answer: 22
Problem: <image>Find x. Assume that any segment that appears to be tangent is tangent.
Choices:
13
34
106
160
Answer: 13
Problem: <image>Find the perimeter of quadrilateral ABCD.
Choices:
27 + 14 \sqrt { 2 }
40 + 14 \sqrt { 2 }
27 + 28 \sqrt { 2 }
40 + 28 \sqrt { 2 }
Answer: 40 + 14 \sqrt { 2 }
Problem: <image>Find $EG$.
Choices:
5
6.5
10
13
Answer: 10
Problem: <image>In $\triangle JLP$, $m \angle JMP=3 x-6$, $JK=3y-2$, and $LK=5y-8$. Find $LK$ if $\overline{PK}$ is a median.

Choices:
2
5
7
8
Answer: 7
Problem: <image>Find $ST$.
Choices:
5
10
12
16
Answer: 5
Problem: <image>Find the measure of the altitude drawn to the hypotenuse.
Choices:
18
\sqrt { 612 }
34
612
Answer: \sqrt { 612 }
Problem: <image>Use parallelogram $ABCD$ to find $AB$
Choices:
6
12
18
115
Answer: 12
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
39.4
49.0
68.2
78.7
Answer: 39.4
Problem: <image>Find $x$ if $\odot M \cong \odot N$.
Choices:
8
9
10
12
Answer: 9
Problem: <image>Find x. Round side measures to the nearest tenth.
Choices:
16.4
18.0
32.0
35.1
Answer: 35.1
Problem: <image>Find x.
Choices:
2 \sqrt { 2 }
3 \sqrt { 2 }
2 \sqrt { 5 }
3 \sqrt { 5 }
Answer: 2 \sqrt { 5 }
Problem: <image>If $QT=11$, what is $QU$.
Choices:
7
8
11
16
Answer: 11
Problem: <image>$a=14, b=48,$ and $c=50$ find $tanA$
Choices:
0.17
0.19
0.29
0.50
Answer: 0.29
Problem: <image>Find $y$ so that the quadrilateral is a parallelogram
Choices:
9
20
21
41
Answer: 41
Problem: <image>$\ln \odot K$, $ M N=16$ and $m \widehat{M N}=98$. Find the measure of $LN$. Round to the nearest hundredth.
Choices:
6.93
7.50
8.94
10.00
Answer: 8.94
Problem: <image>In the figure, $QR \| TS$, $QT \| RS$, and $m \angle 1=131$. Find the measure of $\angle 6$. 
Choices:
101
111
121
131
Answer: 131
Problem: <image>Find the measure of $m∠C$.
Choices:
35
70
90
140
Answer: 70
Problem: <image>Find x
Choices:
7
9
11
15
Answer: 7
Problem: <image>Find $m \angle 2$.
Choices:
33
39
51
108
Answer: 39
Problem: <image>If PR || WX, WX = 10, XY = 6, WY = 8, RY = 5, and PS = 3, find PQ
Choices:
5.5
6
8
11
Answer: 6
Problem: <image>Find z.
Choices:
6 \sqrt { 3 }
12 \sqrt { 3 }
18 \sqrt { 2 }
36
Answer: 12 \sqrt { 3 }
Problem: <image>WXYZ is a parallelogram. Find $m \angle Y Z W$ 
Choices:
33
65
82
115
Answer: 115
Problem: <image>Find $XZ$.
Choices:
5
15
23
35
Answer: 23
Problem: <image>Find y.
Choices:
6
8
10
12
Answer: 10
Problem: <image>Find the measure of $\angle 1$.
Choices:
56
66
76
86
Answer: 56
Problem: <image>Find $x$.
Choices:
50
55
60
70
Answer: 60
Problem: <image>Find the area of the figure.
Choices:
105
135
150
160
Answer: 150
Problem: <image>In $\odot P, m \widehat{E N}=66$ and $m \angle G P M=89$ . 
Find $m \angle G N M$
Choices:
44.5
66
89
155
Answer: 44.5
Problem: <image>Find $x$ so that the quadrilateral is a parallelogram
Choices:
3
5
7
8
Answer: 3
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
1064
1120
1520
1888.1
Answer: 1520
Problem: <image>Find $x$.
Choices:
2
3
4
5
Answer: 3
Problem: <image>Find $y$.
Choices:
1
2
3
4
Answer: 3
Problem: <image>WXYZ is a parallelogram. Find $m \angle X W Z$ 
Choices:
33
65
82
115
Answer: 65
Problem: <image>Find x.
Choices:
\frac { 15 } { 2 }
\frac { 15 \sqrt { 2 } } { 2 }
\frac { 15 \sqrt { 3 } } { 2 }
15 \sqrt { 2 }
Answer: \frac { 15 \sqrt { 2 } } { 2 }
Problem: <image>Find $x$ in the figure.
Choices:
27.7
34
41.3
68
Answer: 34
Problem: <image>Find the measure of $\angle 1$ if $m \angle D G F=53$ and $m \angle A G C=40$.
Choices:
37
40
50
53
Answer: 37
Problem: <image>Find the measure of the altitude drawn to the hypotenuse.
Choices:
\sqrt { 3 }
\sqrt { 5 }
3
3 \sqrt { 5 }
Answer: 3 \sqrt { 5 }
Problem: <image>Chords $\overline{JF}$ and $\overline{BC}$ intersect at $K .$ If $B K=8$, $K C=12,$ and $K F=16,$ find $J K$
Choices:
6
12
15
18
Answer: 6
Problem: <image>Find x.
Choices:
7.0
16.6
32.2
35.5
Answer: 32.2
Problem: <image>Find the measure of $\angle 2$ if $m \angle D G F=53$ and $m \angle A G C=40$.
Choices:
37
40
50
53
Answer: 50
Problem: <image>Find the rhombus of the kite.
Choices:
120
180
240
300
Answer: 240
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  XZ
Choices:
2
4
8
16
Answer: 8
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:
25
28.5
30.4
50
Answer: 30.4
Problem: <image>What is ED?
Choices:
15
25
88.5
not enough information
Answer: not enough information
Problem: <image>If $P T=y-3, P S=y+2, R S=12,$ and $Q S=16$
solve for $y$
Choices:
\frac { 3 } { 14 }
\frac { 2 } { 3 }
\frac { 3 } { 2 }
\frac { 14 } { 3 }
Answer: \frac { 14 } { 3 }
Problem: <image>The diagonals of rhombus FGHJ intersect at K. 
If $m\angle FJH = 82$, find $m\angle KHJ$.
Choices:
15
33
49
82
Answer: 49
Problem: <image>$\Delta EFG$ is equilateral, and $\overline{E H}$ bisects $\angle E$. Find $x$.
Choices:
5
6
7
8
Answer: 6
Problem: <image>Find y
Choices:
2 \sqrt { 3 }
4
4 \sqrt { 3 }
8
Answer: 4 \sqrt { 3 }
Problem: <image>Find x.
Choices:
4 \sqrt { 5 }
4 \sqrt { 13 }
8 \sqrt { 5 }
8 \sqrt { 13 }
Answer: 4 \sqrt { 13 }
Problem: <image>Find the area of the figure.
Choices:
22.9
29.7
54.9
60
Answer: 54.9
Problem: <image>ABCD is a rhombus. If EB = 9, AB = 12 and $m\angle ABD = 55$ . Find $m\angle BDA$
Choices:
9
12
20
55
Answer: 55
Problem: <image>$\triangle LMN \cong \triangle QRS$. Find $y$.
Choices:
10
20
40
50
Answer: 50
Problem: <image>For the pair of similar figures, use the given areas to find the scale factor of the blue to the green figure. 
Choices:
\frac { 4 } { 9 }
\frac { 2 } { 3 }
\frac { 3 } { 2 }
\frac { 9 } { 4 }
Answer: \frac { 3 } { 2 }
Problem: <image>Quadrilateral MNOP is a rhombus. Find $m\angle MRN $
Choices:
56
90
124
140
Answer: 90
Problem: <image>Find x. Round the side measure to the nearest tenth.
Choices:
4.2
8.3
16.7
69.4
Answer: 8.3
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
6
8
9.6
14.6
Answer: 9.6
Problem: <image>Find the area of the figure in feet. Round to the nearest tenth, if necessary.
Choices:
14.4
16
28.8
32
Answer: 14.4
Problem: <image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
Choices:
82
164
836
1448
Answer: 164
Problem: <image>Find $m\angle K$
Choices:
62
72
116
160
Answer: 62
Problem: <image>Find $m \angle 2$.
Choices:
23
55
63
125
Answer: 23
Problem: <image>Find $z$ in the figure.
Choices:
13.5
14
14.5
15
Answer: 13.5
Problem: <image>Find $x$.
Choices:
9
11
37
47
Answer: 11
Problem: <image>Quadrilateral ABCD is a rectangle. Find y
Choices:
5
12
24
25
Answer: 5
Problem: <image>Find the measure of $\angle 1$.
Choices:
33
45
54
55
Answer: 55
Problem: <image>Refer to trapezoid $CDFG$ with median $\overline{HE}$. Let $\overline{WX}$ be the median of $CDEH$. Find $WX$.
Choices:
34
38
42
46
Answer: 42
Problem: <image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear
to be tangent are tangent.
Choices:
5
10
15
20
Answer: 5
Problem: <image>Find the area of the shaded region.
Choices:
12.6
50.3
100.5
402.1
Answer: 50.3
Problem: <image>For trapezoid $R S T V, A$ and $B$ are midpoints of the legs. Find $V T$.
Choices:
4
8
26
30
Answer: 4
Problem: <image>Find AX if $E X=24$ and $D E=7$
Choices:
1
7
24
25
Answer: 24
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
80.0
157.6
315.2
364.0
Answer: 315.2
Problem: <image>What is the area of the triangle? Round your answer to the nearest tenth if necessary.
Choices:
137.4
161.3
170.5
186.9
Answer: 161.3
Problem: <image>Find $m \angle K$.
Choices:
46
63
69
92
Answer: 46
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
75
106.1
150
212.1
Answer: 106.1
Problem: <image>Find $y$ in the figure.
Choices:
15
34
67
75
Answer: 15
Problem: <image>For trapezoid $D E G H, X$ and $Y$ are midpoints of the legs. Find $D E$
Choices:
8
16
20
32
Answer: 8
Problem: <image>Find x.
Choices:
24
24 \sqrt { 2 }
36
24 \sqrt { 3 }
Answer: 24 \sqrt { 2 }
Problem: <image>In $\odot F$, find $m \widehat {ADB}$.
Choices:
63
153
233
243
Answer: 243
Problem: <image>Find the perimeter of the figure. Round to the nearest tenth if necessary.
Choices:
54.8
60
80
109.6
Answer: 54.8
Problem: <image>In the figure, $ \overline{JM} \cong \overline{PM}$ and $ \overline{ML} \cong \overline{PL}$. If $m \angle PLJ=34$, find $m \angle JPM$.
Choices:
34
34.5
36
36.5
Answer: 36.5
Problem: <image>The segment is tangent to the circle. Find $x$.
Choices:
3
4
5
8
Answer: 4
Problem: <image>Find the radius of $\odot K$. Round to the nearest hundredth.
Choices:
9.50
19.00
56.37
59.69
Answer: 19.00
Problem: <image>Find the angle measure of $\angle 2$.
Choices:
128
138
142
148
Answer: 128
Problem: <image>Find the value of $x$ in the diagram
Choices:
5
10
20
40
Answer: 20
Problem: <image>$\overline{GJ}$ is a diameter of $\odot K$. Find $m \widehat {GLH}$.
Choices:
119
122
238
244
Answer: 238
Problem: <image>Find $x$ in the figure.
Choices:
12
14
16
18
Answer: 16
Problem: <image>Find $m\angle G$
Choices:
102
107
112
122
Answer: 107
Problem: <image>For the pair of similar figures, find the area of the green figure.
Choices:
7.6
10.1
18
24
Answer: 24
Problem: <image>Find the area of the parallelogram.
Choices:
396
560.0
685.9
792
Answer: 396
Problem: <image>Chords $\overline{A C}$ and $\overline{D F}$ are equidistant from the center. If the radius of $\odot G$ is 26 find $D E$
Choices:
12
20
24
26
Answer: 24
Problem: <image>Find the ratio of the area of $ \triangle ABC$ to the area of square $BCDE$.
Choices:
1 : 3
\frac { \sqrt 3 } { 4 } : 1
\frac { \sqrt 3 } { 2 } : 1
\sqrt { 3 } :1
Answer: \frac { \sqrt 3 } { 4 } : 1
Problem: <image>If $M D=7,$ find $R I$
Choices:
7
14
21
28
Answer: 14
Problem: <image>Find the measure of $\angle 6$.
Choices:
130
140
142.5
145
Answer: 140
Problem: <image>Find $x$ in parallelogram $ABCD$.
Choices:
5
6
7.2
8.1
Answer: 7.2
Problem: <image>Find $x$.
Choices:
60
80
125
155
Answer: 80
Problem: <image>In the figure, $m∠1 = 123$. Find the measure of $\angle 4$.
Choices:
47
57
67
123
Answer: 57
Problem: <image>The triangle is inscribed in $\odot D$. Find the exact circumference of $\odot D$.
Choices:
4 \sqrt { 13 } \pi
4 \sqrt { 15 } \pi
6 \sqrt { 13 } \pi
6 \sqrt { 15 } \pi
Answer: 4 \sqrt { 13 } \pi
Problem: <image>Express the ratio of $\tan C$ as a decimal to the nearest hundredth.
Choices:
0.60
0.75
0.80
1.33
Answer: 0.75
Problem: <image>Find $z$.
Choices:
10
10 \sqrt { 3 }
20
10 \sqrt { 5 }
Answer: 10 \sqrt { 5 }
Problem: <image>If $a=4,$ find $b$
Choices:
2 \sqrt { 3 }
6
4 \sqrt { 3 }
8
Answer: 4 \sqrt { 3 }
Problem: <image>If TP = 4x + 2, QP = 2y – 6, PS = 5y - 12, and PR = 6x - 4, find y so that the quadrilateral is a parallelogram.
Choices:
2
5
12
20
Answer: 2
Problem: <image>Find the measure of $\angle 2$ if $m∠4= m∠5$.
Choices:
47
53
63
64
Answer: 53
Problem: <image>Find $x$. $A = 104$ ft$^2$.
Choices:
6.3
6.5
7.4
13.0
Answer: 6.3
Problem: <image>Find x.
Choices:
10 \sqrt { 2 }
20 \sqrt { 2 }
20 \sqrt { 3 }
40
Answer: 20 \sqrt { 2 }
Problem: <image>Quadrilateral $RSTU$ is circumscribed about $\odot J$. If the preimeter is $18$ units, find $x$.
Choices:
1
1.5
3
4.5
Answer: 1.5
Problem: <image>In rhombus $A B C D, A B=2 x+3$ and $B C=5 x$. Find x.
Choices:
1
2
4
5
Answer: 1
Problem: <image>Find $x$.
Choices:
168
170
172
174
Answer: 170
Problem: <image>In the figure at the right, $YZ$ is the midsegment of trapezoid $TWRV$. Determine the value of $x$.
Choices:
1.2
8
14.8
16
Answer: 1.2
Problem: <image>Find $b$ in the given parallelogram
Choices:
2
8
9
10
Answer: 8
Problem: <image>If quadrilateral ABCD is a kite, what is $m \angle C$?
Choices:
15
74
76
89
Answer: 76
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
420
480
764.4
797.6
Answer: 480
Problem: <image>Find $x$.
Choices:
12
15
18
21
Answer: 18
Problem: <image>If PR || KL, KN = 9, LN = 16, PM = 2 KP, find MR  
Choices:
12
26 / 2
40 / 3
14
Answer: 40 / 3
Problem: <image>Find $YZ$.
Choices:
6
7
8
9
Answer: 8
Problem: <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 $m \widehat{A C}$
Choices:
30
52
108
118
Answer: 30
Problem: <image>Find the area of the blue region.
Choices:
8.7
14.0
17.5
24.4
Answer: 17.5
Problem: <image>In $\odot R, S U=20, Y W=20,$ and $m \widehat{Y X}=45$.
Find WZ
Choices:
10
20
30
45
Answer: 10
Problem: <image>Find the measure of $\angle 6$ if $\overline{A B} \perp \overline{B C}$.
Choices:
21
26
31
36
Answer: 26
Problem: <image>Find $m\angle T$
Choices:
58
68
121
123
Answer: 58
Problem: <image>Find the area of the quadrilateral.
Choices:
2450
2829.0
3464.8
4900
Answer: 2829.0
Problem: <image>In the figure, square $WXYZ$ is inscribed in $\odot R$. Find the measure of a central angle.
Choices:
45
90
180
270
Answer: 90
Problem: <image>Find x.
Choices:
7
7 \sqrt { 2 }
14
7 \sqrt { 6 }
Answer: 7 \sqrt { 2 }
Problem: <image>For trapezoid QRTU, V and S are midpoints of the legs. If VS = 9 and UT = 12, find QR.
Choices:
7
17
26
34
Answer: 7
Problem: <image>Find x.
Choices:
6
12
18
24
Answer: 6
Problem: <image>$Q$ is the centroid and $BE=9$. Find $QE$.
Choices:
3
6
9
12
Answer: 3
Problem: <image>Find $x$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
2
4
6
8
Answer: 6
Problem: <image>For the pair of similar figures, use the given areas to find the scale factor of the blue to the green figure.
Choices:
\frac { 25 } { 36 }
\frac { 5 } { 6 }
\frac { 6 } { 5 }
\frac { 36 } { 25 }
Answer: \frac { 5 } { 6 }
Problem: <image>In the figure, a regular polygon is inscribed in a circle. Find the measure of a central angle.
Choices:
18
36
72
144
Answer: 72
Problem: <image>Find $y$ so that the quadrilateral is a parallelogram.
Choices:
9
13
18
19
Answer: 9
Problem: <image>Find x. Round to the nearest tenth, if necessary.
Choices:
2
6
12
15
Answer: 15
Problem: <image>If $\overline{RQ} \cong \overline{RS}$ and $ m ∠RQS  = 75 $, find $ m ∠R $.
Choices:
30
40
52.5
75
Answer: 30
Problem: <image>Find the area of the shaded region. Round to the nearest tenth.
Choices:
85.5
449.0
534.5
808.2
Answer: 449.0
Problem: <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 $C W=2$.
Choices:
6
12
48
60
Answer: 12
Problem: <image>If $CE=t-2$. $EB=t+1$, $CD=2$, and $CA=10$, find $t$.
Choices:
1
2
3
4
Answer: 3
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
210
230
310
460
Answer: 310
Problem: <image>Find the perimeter of the triangle. Round to the nearest tenth if necessary.
Choices:
21
24
36
54
Answer: 36
Problem: <image>Find $x$.
Choices:
72
82
84
143
Answer: 72
Problem: <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 $C$.
Choices:
15
16
17
18
Answer: 18
Problem: <image>Find x
Choices:
34
49
60
128
Answer: 60
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
14
15
16
17
Answer: 16
Problem: <image>In the figure, $m∠3 = 43$. Find the measure of $\angle 16$.
Choices:
117
127
137
147
Answer: 137
Problem: <image>Find the angle measure of $\angle4$.
Choices:
38
42
52
62
Answer: 52
Problem: <image>Express the ratio of $\sin A$ as a decimal to the nearest hundredth.
Choices:
0.38
0.42
0.92
2.40
Answer: 0.38
Problem: <image>Find x.
Choices:
5
2 \sqrt { 10 }
7
\sqrt { 202 }
Answer: 2 \sqrt { 10 }
Problem: <image>Find $RS$.
Choices:
4
6
8
10
Answer: 8
Problem: <image>Find $m \angle X$
Choices:
14
56
70
117
Answer: 117
Problem: <image>Find $m \angle M$.
Choices:
20
30
60
120
Answer: 30
Problem: <image>Quadrilateral ABCD is a rectangle. $m\angle 2 = 40$. Find $m \angle 5$
Choices:
30
40
50
80
Answer: 80
Problem: <image>Quadrilateral $WXYZ$ is inscribed in $\odot V$. Find $m \angle Y$.
Choices:
60
85
95
120
Answer: 85
Problem: <image>Find the measure of $∠R$ to the nearest tenth.
Choices:
32.5
39.6
50.4
57.5
Answer: 39.6
Problem: <image>Find $MP$.
Choices:
6
8
10
12
Answer: 8
Problem: <image>Find the area of the regular polygon. Round to the nearest tenth.
Choices:
73.0
292.1
584.2
1168.5
Answer: 584.2
Problem: <image>Find the area of the shaded region. Assume that the polygon is regular unless otherwise stated. Round to the nearest tenth.
Choices:
139.1
516.2
721.1
762.7
Answer: 139.1
Problem: <image>Find $x$.
Choices:
\frac { 4 } { 3 }
\frac { 13 } { 3 }
6
\frac { 26 } { 3 }
Answer: \frac { 26 } { 3 }
Problem: <image>Find z
Choices:
2 \sqrt { 3 }
4
4 \sqrt { 3 }
12
Answer: 4 \sqrt { 3 }
Problem: <image>In $\odot R$, If $SU=16.2$, what is $RT$?
Choices:
8.1
16.2
24.3
32.4
Answer: 8.1
Problem: <image>Use parallelogram JKLM to find m \angle JKL if $J K=2 b+3$ and $J M=3 a$.
Choices:
30
70
80
100
Answer: 80
Problem: <image>JKLM is a rhombus. If $CK = 8$ and $JK = 10$, Find $JC$.
Choices:
4
6
8
10
Answer: 6
Problem: <image>In $\odot B$, the diameter is 20 units long, and $m \angle A C E=45$ Find $x$
Choices:
\sqrt { 2 }
2
4
5 \sqrt { 2 }
Answer: \sqrt { 2 }
Problem: <image>Let $\overline{J K}$ be the median of $A B T Q .$ Find $J K$
Choices:
43
54
78
86
Answer: 78
Problem: <image>Find the measure of $\angle 3$ if $m∠DGF = 53$ and $m∠AGC = 40$.
Choices:
40
47
50
53
Answer: 50
Problem: <image>Find $y$.
Choices:
7
8
12
17
Answer: 17
Problem: <image>Use parallelogram to find $y$
Choices:
5
10
15
20
Answer: 5
Problem: <image>Find $m\angle C$
Choices:
30
60
90
120
Answer: 120
Problem: <image>In the figure, $m ∠9 = 75$. Find the measure of $\angle 5$.
Choices:
75
85
95
105
Answer: 75
Problem: <image>$a=8, b=15,$ and $c=17$, find $sinA$
Choices:
0.30
0.47
0.53
0.70
Answer: 0.47
Problem: <image>In $\odot A, m \angle E A D=42$. Find $m \widehat{C D}$
Choices:
138
142
240
360
Answer: 138
Problem: <image>Find $x$.
Choices:
2.7
5.4
6
9
Answer: 5.4
Problem: <image>Find x. Round side measures to the nearest tenth.
Choices:
4.1
4.8
5.3
6.1
Answer: 4.1
Problem: <image>Find $KL$.
Choices:
7
11
12
14
Answer: 14
Problem: <image>Find $x$ so that each quadrilateral is a parallelogram.
Choices:
12
24
60
72
Answer: 12
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
17.6
19.2
22.7
29.2
Answer: 22.7
Problem: <image>Find x
Choices:
41.8
42.9
67.1
76.4
Answer: 41.8
Problem: <image>Refer to the figure at the right. Find the value of $m ∠BCE$ if $ p \parallel q $.
Choices:
75
80
85
605
Answer: 75
Problem: <image>If $x=7 \sqrt{3},$ find $a$
Choices:
7
12 \sqrt { 3 }
14 \sqrt { 3 }
16 \sqrt { 3 }
Answer: 14 \sqrt { 3 }
Problem: <image>Use the Pythagorean Theorem to find the length of the hypotenuse of each right triangle.
Choices:
3
4
5
\sqrt { 34 }
Answer: \sqrt { 34 }
Problem: <image>Find x.
Choices:
8 \sqrt { 2 }
8 \sqrt { 3 }
16
24
Answer: 24
Problem: <image>Find x.
Choices:
3 \sqrt { 21 }
3 \sqrt { 29 }
17
21
Answer: 3 \sqrt { 29 }
Problem: <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 $ ? 
Choices:
5
6
8
10
Answer: 8
Problem: <image>Find $m\angle F$
Choices:
102
107
112
122
Answer: 122
Problem: <image>Find $m\angle Y$
Choices:
34
68
70
136
Answer: 68
Problem: <image>Find y.
Choices:
15
18
21
24
Answer: 15
Problem: <image>In $\odot A, m \angle E A D=42$. Find $m \widehat{E D B}$
Choices:
120
138
222
240
Answer: 222
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 $\angle GFH$. 
Choices:
62
64
66
68
Answer: 68
Problem: <image>$UJ=9, VJ=3$, and $ZT=18$. Find $ZJ$.
Choices:
3
6
9
12
Answer: 12
Problem: <image>Find $x$.
Choices:
10
15
20
25
Answer: 20
Problem: <image>Find the measure of $\angle 5$ if $m∠4= m∠5$.
Choices:
32
42
44
53
Answer: 32
Problem: <image>Find the perimeter of each polygon for the given information.
$S T=18,$ radius of $\odot P=5$
Choices:
58.5
60
70
90
Answer: 58.5
Problem: <image>$\overline{JH}$ is a midsegment of $\triangle KLM$. Find $x$.
Choices:
5
10
11
22
Answer: 11
Problem: <image>find $tanR$
Choices:
\frac { 3 } { 5 }
\frac { 3 } { 4 }
\frac { 4 } { 5 }
\frac { 4 } { 3 }
Answer: \frac { 4 } { 3 }
Problem: <image>Find the area of the shaded sector. Round to the nearest tenth.
Choices:
44.6
64.2
103.8
207.6
Answer: 207.6
Problem: <image>Find y. Round to the nearest tenth, if necessary.
Choices:
2
3
6
22.5
Answer: 22.5
Problem: <image>What is the area of the triangle below? Round your answer to the nearest tenth if necessary.
Choices:
110.5
144.2
164.5
171.9
Answer: 171.9
Problem: <image>Find the area of the shaded sector. Round to the nearest tenth.
Choices:
15.5
46.5
66.6
113.1
Answer: 46.5
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
332.3
396
471.9
616.1
Answer: 471.9
Problem: <image>Find the area of the shaded sector. Round to the nearest tenth, if necessary.
Choices:
40.2
80.4
160.8
201.1
Answer: 40.2
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 $m \angle RSU$
Choices:
35
37
45
47
Answer: 47
Problem: <image>Find $x$.
Choices:
4
6
10
15
Answer: 10
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
60
84.9
103.9
120
Answer: 103.9
Problem: <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?
Choices:
117
189
224
258
Answer: 189
Problem: <image>Express the ratio of $\tan P$ as a decimal to the nearest hundredth.
Choices:
0.47
0.53
0.88
1.88
Answer: 1.88
Problem: <image>Find x. Round to the nearest tenth.
Choices:
7.2
8.1
24.2
27.1
Answer: 7.2
Problem: <image>Find $m \angle 4$.
Choices:
10
15
35
55
Answer: 15
Problem: <image>For trapezoid QRST, M and P are midpoints of the legs. If PM = 2x, QR = 3x, and TS = 10, find PM.
Choices:
8
12
16
20
Answer: 20
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
36
54
72
108
Answer: 54
Problem: <image>Find $m\angle E$
Choices:
38
76
79
158
Answer: 158
Problem: <image>Find $m\angle 1$.
Choices:
31
42
59
63
Answer: 59
Problem: <image>Find the measure of $∠R$ to the nearest tenth.
Choices:
19.1
20.3
69.7
70.9
Answer: 70.9
Problem: <image>Find x
Choices:
60
120
180
240
Answer: 120
Problem: <image>Find the measure of $\angle 3$.
Choices:
136
147
148
157
Answer: 147
Problem: <image>Find $UZ$.
Choices:
12
18
24
32
Answer: 18
Problem: <image>Find x. Round to the nearest tenth.

Choices:
3.3
7.1
9.0
19.2
Answer: 7.1
Problem: <image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear
to be tangent are tangent.
Choices:
3
4
5
9
Answer: 4
Problem: <image>$\triangle RST \cong \triangle ABC$. Find $y$.
Choices:
13
21
31
40
Answer: 21
Problem: <image>In the figure, $ \overline{GK} \cong \overline{GH}$ and $ \overline{HK} \cong \overline{KJ}$. If $m \angle HGK=42$, find $m \angle HJK$.
Choices:
34.5
39.5
42
48
Answer: 34.5
Problem: <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 $m\widehat{A C B}$
Choices:
45
90
180
360
Answer: 180
Problem: <image>Find the perimeter of the figure.
Choices:
28
48
96
192
Answer: 48
Problem: <image>In $\odot X, A B=30, C D=30,$ and $m \widehat{C Z}=40$
Find $m\widehat{D Z}$
Choices:
30
40
60
80
Answer: 40
Problem: <image>Refer to the figure at the right. Find the value of $y$ if $ p \parallel q $.
Choices:
75
85
95
105
Answer: 105
Problem: <image>Find x. Round to the nearest degree.
Choices:
18
23
28
33
Answer: 28
Problem: <image>Find $m \widehat {PO}$.
Choices:
56
70
112
140
Answer: 112
Problem: <image>In the figure, $m∠3 = 43$. Find the measure of $\angle 10$.
Choices:
117
127
137
147
Answer: 137
Problem: <image>In $\odot F$, find $m \widehat {AED}$.
Choices:
63
93
123
153
Answer: 153
Problem: <image>Find the length of $\widehat {ZY}$. Round to the nearest hundredth.
Choices:
10.23
11.34
12.67
15.16
Answer: 11.34
Problem: <image>Points $P$, $Q$, and $R$ are the midpoints of $\overline{J K}$, $\overline{K L}$, and $\overline{J L}$, respectively. Find $x$ .
Choices:
0.83
1.1
2.0
5.5
Answer: 5.5
Problem: <image>Find $x$ so that the quadrilateral is a parallelogram
Choices:
2
4
13
66
Answer: 2
Problem: <image>Find $m\angle B$
Choices:
112
116
122
127
Answer: 112
Problem: <image>Rhombus $QRST$ has an area of 137.9 square meters. If $RT$ is 12.2 meters, find $QS$.
Choices:
11.3
22.4
22.6
25.6
Answer: 22.6
Problem: <image>Find $x$ so that $ m \parallel n $.
Choices:
14
21.6
28
35
Answer: 21.6
Problem: <image>Find x
Choices:
2 \sqrt { 2 }
3 \sqrt { 2 }
5 \sqrt { 2 }
6 \sqrt { 2 }
Answer: 6 \sqrt { 2 }
Problem: <image>Find the circumference of $\odot A$.
Choices:
10 \pi
20 \pi
50 \pi
100 \pi
Answer: 20 \pi
Problem: <image>Find $C D$ if $A E=8, E D=4,$ and $B E=6$
Choices:
4
6
8
9
Answer: 9
Problem: <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 $\overline{A C}$
Choices:
16
18
27
42
Answer: 27
Problem: <image>Solve for $x$.
Choices:
3
4
5
6
Answer: 6
Problem: <image>Quadrilateral ABCD is a rectangle. Find y
Choices:
5
10
15
20
Answer: 5
Problem: <image>Find the measure of $ \angle 4 $ if $l  \parallel m$  and $m \angle 1 = 105$.
Choices:
75
85
95
105
Answer: 75
Problem: <image>If PR || KL, KN = 9, LN = 16, PM = 2 KP, find KP
Choices:
5
7
8
14
Answer: 5
Problem: <image>Find the variable of $c$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
22.8
23.8
24.8
25.8
Answer: 22.8
Problem: <image>If $m\angle XZY = 3x + 6$ and $m\angle XZW = 5x - 12$, find $m\angle YXZ$.
Choices:
12
24
48
50
Answer: 48
Problem: <image>Find $m \angle 7$.
Choices:
50
65
70
85
Answer: 70
Problem: <image>Each pair of polygons is similar. Find y.
Choices:
30
60
87
98
Answer: 30
Problem: <image>Quadrilateral EFGH is a rectangle. If $m\angle FEG = 57$, find $m\angle GEH$.
Choices:
13
20
33
57
Answer: 33
Problem: <image>Find the measure of $\angle 1$ if $m∠DGF = 53$ and $m∠AGC = 40$.
Choices:
30
37
40
50
Answer: 37
Problem: <image>Find $x$.
Choices:
4
6
8
12
Answer: 4
Problem: <image>Find the area of $ \triangle JKM$.
Choices:
21
21.25
42
42.5
Answer: 21
Problem: <image>Find x.
Choices:
4.2
4.65
5.6
8.4
Answer: 8.4
Problem: <image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
24
36
48
60
Answer: 48
Problem: <image>Find $RT$.
Choices:
12
24
27
28
Answer: 24
Problem: <image>Find $m \angle T$.
Choices:
80
120
135
145
Answer: 135
Problem: <image>Find the area of quadrilateral $XYZW$ if $XZ = 39$, $HW = 20$, and $YG = 21$.
Choices:
390
409.5
799.5
1599
Answer: 799.5
Problem: <image>Find $y$ so that the quadrilateral is a parallelogram.
Choices:
11
15
20
30
Answer: 20
Problem: <image>Find $x$.
Choices:
30
45
60
75
Answer: 45
Problem: <image>Find $y$ if $m∠5 = 68$ and $m∠3 = 3y - 2$.
Choices:
22
23.3
38
82
Answer: 38
Problem: <image>Find y.
Choices:
7
7 \sqrt { 2 }
7 \sqrt { 3 }
14
Answer: 7
Problem: <image>Find y
Choices:
4
4 \sqrt { 3 }
8
8 \sqrt { 3 }
Answer: 4 \sqrt { 3 }
Problem: <image>Find $m \angle 3$.
Choices:
26
39
55
62
Answer: 26
Problem: <image>Find x
Choices:
5
5 \sqrt { 2 }
10
10 \sqrt { 2 }
Answer: 5 \sqrt { 2 }
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
164
362.0
724.0
1448.0
Answer: 1448.0
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
5
6
8
9
Answer: 6
Problem: <image>In $\odot P, P D=10, P Q=10,$ and $Q E=20$, find PE
Choices:
10
20
10 \sqrt { 5 }
30
Answer: 10 \sqrt { 5 }
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
600
900
1200
2400
Answer: 1200
Problem: <image>Assume that the segment is tangent, find the value of $x$.
Choices:
2
3
4
5
Answer: 3
Problem: <image>Find $x$.
Choices:
9
17.5
26
36
Answer: 9
Problem: <image>If $QR=2$, $XW=12$, $QW=15$, and $ST=5$, find $RS$.
Choices:
5
7.5
8
12
Answer: 8
Problem: <image>Quadrilateral $ABCD$ is a rhombus. If $m\angle BCD = 54$, find $m\angle BAC$.
Choices:
13
27
50
90
Answer: 27
Problem: <image>$\triangle RST \cong \triangle XYZ$. Find $y$.
Choices:
5
14
15
35
Answer: 15
Problem: <image>Find x
Choices:
32
57
58
91
Answer: 91
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
55.6
66.2
100.6
111.2
Answer: 55.6
Problem: <image>Find the area of the shaded figure in square inches. Round to the nearest tenth.
Choices:
210
300
420
840
Answer: 420
Problem: <image>$\odot  C \cong \odot D$, Find $x$.
Choices:
13.5
27
54
108
Answer: 27
Problem: <image>If $CN=8$. Find $DN$.
Choices:
4
8
12
16
Answer: 8
Problem: <image>Find $m \angle TUV$
Choices:
16
37
53
74
Answer: 53
Problem: <image>Find $y$.
Choices:
7
8
12
16
Answer: 8
Problem: <image>Find $m \angle A G D$
Choices:
45
90
180
360
Answer: 90
Problem: <image>Find x.
Choices:
6
4 \sqrt { 6 }
12
12 \sqrt { 2 }
Answer: 12
Problem: <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 $C W=2$.
Choices:
12
24
36
48
Answer: 12
Problem: <image>In $\odot C$, $m \angle HCG=2x$ and $m \angle HCD=6x+28$, find $m \widehat {EF}$.
Choices:
38
52
68
142
Answer: 52
Problem: <image>Find x.
Choices:
9
6 \sqrt { 6 }
18
18 \sqrt { 2 }
Answer: 18
Problem: <image>Find x.
Choices:
7
2 \sqrt { 78 }
19
\sqrt { 410 }
Answer: 2 \sqrt { 78 }
Problem: <image>In the right triangle, what is $A B$ if $B C=6 ?$
Choices:
2 \sqrt { 3 }
4 \sqrt { 3 }
6 \sqrt { 2 }
12
Answer: 4 \sqrt { 3 }
Problem: <image>In $\odot S, m \angle T S R=42$
Find $m\widehat{KT}$
Choices:
21
42
63
138
Answer: 138
Problem: <image>Find x
Choices:
16
18
24
27
Answer: 18
Problem: <image>Find $x$ so that $ m \parallel n $.
Choices:
7
9
11
15
Answer: 15
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
92.5
250
500
1000
Answer: 500
Problem: <image>Find $m\angle C$
Choices:
112
116
117
127
Answer: 127
Problem: <image>Use parallelogram ABCD to find CD
Choices:
6
9
12
18
Answer: 6
Problem: <image>Find $y$.
Choices:
56
65
73.5
115
Answer: 73.5
Problem: <image>Find the area of the figure. Round to the nearest hundredth, if necessary.
Choices:
33.6
48
58.6
68.6
Answer: 68.6
Problem: <image>Find $RT$.
Choices:
6
8
10
12
Answer: 10
Problem: <image>Find the area of the shaded region. Round to the nearest tenth.
Choices:
392.7
471.2
589.0
785.4
Answer: 471.2
Problem: <image>Find the measure of $\angle 2$.
Choices:
53
63
73
83
Answer: 53
Problem: <image>Find x.
Choices:
\frac { 5 } { 2 } \sqrt { 2 }
5
\frac { 5 } { 2 } \sqrt { 6 }
10
Answer: 5
Problem: <image>Find $x$ so that each quadrilateral is a parallelogram.
Choices:
8
22
24
40
Answer: 8
Problem: <image>Each pair of polygons is similar. Find x
Choices:
30
70
80
150
Answer: 30
Problem: <image>Find the value of the variable $x$ in the figure.
Choices:
27
54
63
126
Answer: 63
Problem: <image>In the figure, $m ∠9 = 75$. Find the measure of $\angle 3$.
Choices:
75
85
95
105
Answer: 75
Problem: <image>Find $x$.
Choices:
60
65
70
75
Answer: 75
Problem: <image>Find x. Round to the nearest tenth.
Choices:
11.8
29.2
51.0
57.2
Answer: 57.2
Problem: <image>Find $m\angle L$
Choices:
52
62
96
150
Answer: 52
Problem: <image>In the figure, $m∠3 = 43$. Find the measure of $\angle 2$.
Choices:
43
127
137
147
Answer: 137
Problem: <image>Find $x$ so that $ m \parallel n $.
Choices:
7
11
15
19
Answer: 15
Problem: <image>The pair of polygons is similar. Find AB
Choices:
3
4
5
6
Answer: 4
Problem: <image>Use parallelogram $ABCD$ to find the measure of $m\angle ADC$
Choices:
21
65
105
115
Answer: 65
Problem: <image>$a=14, b=48,$ and $c=50$, find $sinB$
Choices:
0.04
0.48
0.50
0.96
Answer: 0.96
Problem: <image>Find $m \angle 3$.
Choices:
56
56
68
78
Answer: 68
Problem: <image>Find x. Round to the nearest tenth.
Choices:
3.4
4.3
10.8
13.7
Answer: 10.8
Problem: <image>$ \triangle RST$ is a right triangle. Find $m∠R$.
Choices:
30
40
50
60
Answer: 60
Problem: <image>Use parallelogram ABCD to find AF
Choices:
6
6.86
9
13.62
Answer: 6.86
Problem: <image>Find $m \angle C$.
Choices:
17
20
33
47
Answer: 47
Problem: <image>$\triangle MHJ \cong \triangle PQJ$. Find $y$.
Choices:
3
4
5
6
Answer: 5
Problem: <image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
Choices:
25
30
40
50
Answer: 50
Problem: <image>If $\overline{PR} \| \overline{KL}, KN=9, LN=16,$ and $PM=2KP$, find $ML$.
Choices:
15
16
20
24
Answer: 20
Problem: <image>Find x
Choices:
3
4
6
7
Answer: 4
Problem: <image>In the figure, $m∠11 = 62$ and $m∠14 = 38$. Find the measure of $\angle 4$.
Choices:
38
62
118
142
Answer: 62
Problem: <image>If $LK=4,MP=3,PQ=6,KJ=2,RS=6$, and $LP=2$, find $QK$.
Choices:
2
3
4
6
Answer: 6
Problem: <image>Find $x$.
Choices:
9
13
16
22
Answer: 13
Problem: <image>If $\frac{I J}{X J}=\frac{HJ}{YJ}, m \angle W X J=130$, and $m \angle WZG=20,$ find $m \angle JIH$
Choices:
25
30
40
50
Answer: 50
Problem: <image>Find the perimeter of $▱ TRVW$.
Choices:
30
48
60
72
Answer: 60
Problem: <image>Find $x$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
4
5.6
6
8
Answer: 5.6
Problem: <image>In the figure, $QR \| TS$, $QT \| RS$, and $m \angle 1=131$. Find the measure of $\angle 7$. 
Choices:
39
49
59
131
Answer: 49
Problem: <image>Find $m \angle 2$.
Choices:
29
52
57
123
Answer: 52
Problem: <image>Find $m\angle J$
Choices:
102
107
112
117
Answer: 112
Problem: <image>Find the length of $\widehat {AB}$. Round to the nearest hundredth.
Choices:
1.18
2.36
3.36
4.72
Answer: 2.36
Problem: <image>If $LK=4,MP=3,PQ=6,KJ=2,RS=6$, and $LP=2$, find $QR$.
Choices:
2
3
4
6
Answer: 3
Problem: <image>Find $m \angle 4$.
Choices:
20
30
40
65
Answer: 40
Problem: <image>Find $m\angle 3$.
Choices:
12
17
61
151
Answer: 12
Problem: <image>Find $m \widehat {WX}$.
Choices:
57
63
66
68
Answer: 66
Problem: <image>Find $m \angle 2$.
Choices:
12
24
38
66
Answer: 24
Problem: <image>Quadrilateral $A B C D$ is inscribed in $\odot Z$ such that $m \angle B Z A=104, m \widehat{C B}=94,$ and $\overline{A B} \| \overline{D C} .$
Find $m \widehat{A D C}$
Choices:
36
90
120
162
Answer: 162
Problem: <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 $m\widehat{E B}$
Choices:
45
90
180
360
Answer: 90
Problem: <image>Use parallelogram MNPR to find $w$
Choices:
3.5
11
11.1
14
Answer: 3.5
Problem: <image>Find the area of the triangle. Round to the nearest hundredth.
Choices:
3.88
6.79
13.58
14
Answer: 6.79
Problem: <image>The two polygons are similar. Then find y.
Choices:
18
20.5
38
199
Answer: 20.5
Problem: <image>Find the measure of the altitude drawn to the hypotenuse.
Choices:
\sqrt { 2.5 }
2
\sqrt { 10 }
5
Answer: 5
Problem: <image>For isosceles trapezoid $A B C D$, $X$ and $Y$ are midpoints of the legs. Find $m \angle X B C$ if $m \angle A D Y=78$
Choices:
39
51
78
102
Answer: 102
Problem: <image>Find the exact value of $DE,$ given $AD=12$ and $BD=4$
Choices:
2 \sqrt { 3 }
2 \sqrt { 6 }
4 \sqrt { 3 }
4 \sqrt { 6 }
Answer: 2 \sqrt { 3 }
Problem: <image>If $\overline{TU} \perp \overline{UV}$ and $\overline{UV} \perp \overline{VW}$, find $m \angle 1$.
Choices:
45
47
52
55
Answer: 45
Problem: <image>Circles $G, J,$ and $K$ all intersect at $L$ If $G H=10,$ find GL.
Choices:
10
20
25
35
Answer: 10
Problem: <image>Find $m\angle V$
Choices:
34
68
193
213
Answer: 193
Problem: <image>Find the measure of $\angle 4$ in the figure.
Choices:
52
56
58
60
Answer: 60
Problem: <image>What is the length of $\overline{EF}$?
Choices:
13
14.5
26
29
Answer: 26
Problem: <image>If $\overline{W P}$ is a median and an angle bisector, $A P=3 y+11$, $P H=7 y-5$, $m \angle H W P=x+12$, $m \angle P A W=3 x-2$, and $m \angle H W A=4 x-16$, find $y$.
Choices:
3
4
5
6
Answer: 4
Problem: <image>Find the area of the figure. Round to the nearest tenth.
Choices:
49
68.2
87.5
126.0
Answer: 87.5
Problem: <image>Find $m \angle A G E$
Choices:
60
120
210
330
Answer: 120
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 AEFG
Choices:
4.575
12
26
45.75
Answer: 45.75
Problem: <image>What is the value of x in the figure below?
Choices:
5
7
8
10
Answer: 7
Problem: <image>Find the area of a regular hexagon with a perimeter of 72 feet.
Choices:
187.1
305.5
374.1
532
Answer: 374.1
Problem: <image>Find the length of $CB$ in the isosceles triangle ABC. 
Choices:
1.5
7
11
12.5
Answer: 7
Problem: <image>Find the measure of $\angle R$
Choices:
5
40
78
122
Answer: 122
Problem: <image>Find the perimeter of the triangle.
Choices:
87
90
95
100.4
Answer: 100.4
Problem: <image>$ABCD$ is a rhombus. If $PB = 12$, $AB = 15$, and $m\angle ABD = 24$, Find $CP$
Choices:
3
6
9
15
Answer: 9
Problem: <image>$\overline{XY}$ and $\overline{XZ}$ are midsegments of $\triangle RST$. Find $m \angle RYX$.
Choices:
110
124
126
134
Answer: 124
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
15
20
15 \sqrt { 3 }
30
Answer: 30
Problem: <image>Find $E D$ if $A B=6, B C=4,$ and $A E=9$
Choices:
3
6
9
13.5
Answer: 6
Problem: <image>Find $XA$.
Choices:
2
4
8
16
Answer: 4
Problem: <image>Find the area of a regular pentagon with a perimeter of 40 centimeters.
Choices:
88
110
132
160
Answer: 110
Problem: <image>Find $RS$.
Choices:
5
15
20
25
Answer: 25
Problem: <image>Find DE
Choices:
6
8
9
11
Answer: 6
Problem: <image>Find x
Choices:
39.8
42.5
67.8
68.9
Answer: 39.8
Problem: <image>Find $KL$.
Choices:
3
6
12
18
Answer: 6
Problem: <image>Find the measure of $\angle T$.
Choices:
60
77
103
154
Answer: 77
Problem: <image>Find y.
Choices:
4 \sqrt { 2 }
4 \sqrt { 3 }
4 \sqrt { 6 }
8 \sqrt { 6 }
Answer: 4 \sqrt { 6 }
Problem: <image>Quadrilateral $ABCD$ is a rhombus.  If $m\angle DPC = 3x – 15$, find $x$.
Choices:
14
35
56
90
Answer: 35
Problem: <image>In $\triangle RST$, $Z$ is the centroid and $RZ=18$. Find $SR$.
Choices:
10
14
18
28
Answer: 28
Problem: <image>Find x
Choices:
26
37
80
89
Answer: 37
Problem: <image>Find the perimeter of $▱ JKLM$.
Choices:
11.2
22.4
24
44.8
Answer: 22.4
Problem: <image>find $cosR$
Choices:
0.2
0.4
0.6
0.8
Answer: 0.6
Problem: <image>In the figure, $m∠8 = 96$ and $m∠12 = 42$. Find the measure of $\angle 6$.
Choices:
42
48
84
96
Answer: 42
Problem: <image>Find $JL$.
Choices:
3
6
12
24
Answer: 12
Problem: <image>Find $h$ in each triangle.
Choices:
\frac { 15 \sqrt 2 } { 3 }
\frac { 15 } { 2 }
\frac { 15 \sqrt 2 } { 2 }
15
Answer: \frac { 15 \sqrt 2 } { 2 }
Problem: <image>One side of a square is a diameter of a circle. The length of one side of the square is 5 feet. To the nearest hundredth, what is the probability that a point chosen at random is in the shaded region?
Choices:
0.08
0.22
0.44
0.77
Answer: 0.44
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
5.9
57.3
63.2
69.1
Answer: 63.2
Problem: <image>In $\odot R, S U=20, Y W=20,$ and $m \widehat{Y X}=45$.
Find $m\widehat{S U}$
Choices:
20
30
45
90
Answer: 90
Problem: <image>Find $DB$.
Choices:
3
5
12
15
Answer: 5
Problem: <image>Circle $O$ has a radius of $10, A B=10$ and $m \overrightarrow{A B}=60 .$ Find $m\widehat{O X}$
Choices:
5
5 \sqrt { 3 }
10
15
Answer: 5 \sqrt { 3 }
Problem: <image>Find the value of the variable $x$ in the figure.
Choices:
46.7
60
70
80
Answer: 70
Problem: <image>Quadrilateral DEFG is a rectangle. If $FD = 3x - 7$ and $EG = x + 5$, find $EG$.
Choices:
6
12
34
56
Answer: 6
Problem: <image>$\triangle ABC \cong \triangle FGH$. Find $x$.
Choices:
2
3
7
13
Answer: 3
Problem: <image>$\triangle RST \cong \triangle VUT$. Find $x$.
Choices:
1
2
3
4
Answer: 2
Problem: <image>Find $x$.
Choices:
5
6
10
12
Answer: 6
Problem: <image>Find the value of x.
Choices:
6
7
8
9
Answer: 8
Problem: <image>In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 5$.
Choices:
54
56
64
66
Answer: 64
Problem: <image>In the figure, $QR \| TS$, $QT \| RS$, and $m \angle 1=131$. Find the measure of $\angle 8$. 
Choices:
101
111
121
131
Answer: 131
Problem: <image>Find y.
Choices:
\sqrt { 285 }
\sqrt { 510 }
2 \sqrt { 285 }
2 \sqrt { 510 }
Answer: \sqrt { 510 }
Problem: <image>Find the value of the variable $x$ in the figure.
Choices:
86
94
96
114
Answer: 114
Problem: <image>$P$ is the centroid of triangle $QUS$. If $QP=14$ centimeters, what is the length of $\overline{QT}$?
Choices:
7
12
18
21
Answer: 21
Problem: <image>Find the area of the kite.
Choices:
137.5
255
265
550
Answer: 137.5
Problem: <image>Find sinA
Choices:
\sqrt { 26 } / 26
\sqrt { 26 } / 22
\sqrt { 26 } / 5
\sqrt { 26 } / 3
Answer: \sqrt { 26 } / 26
Problem: <image>Quadrilateral ABCD is a rectangle. $m\angle 2 = 40$. Find $m \angle 1$
Choices:
40
50
90
130
Answer: 50
Problem: <image>Find EC
Choices:
4.8
5.2
11
12
Answer: 4.8
Problem: <image>Find x in the figure.
Choices:
21
26
31
36
Answer: 31
Problem: <image>Find $y$.
Choices:
36
48
66
72
Answer: 72
Problem: <image>Find x. Assume that any segment that appears to be tangent is tangent.
Choices:
5
10
20
150
Answer: 5
Problem: <image>In the figure, $m ∠1 = 53$. Find the measure of $∠4$.
Choices:
113
117
123
127
Answer: 127
Problem: <image>If $\triangle SRY \sim \triangle WXQ, \overline{RT} $ is an altitude of $\triangle SRY$, $\overline{XV}$ is an altitude of $\triangle WXQ, RT=5, RQ=4, QY=6$, and $Y X=2,$ find $XV$.
Choices:
2
4
5
6
Answer: 4
Problem: <image>Use rectangle LMNP, parallelogram LKMJ to solve the problem.
If $m \angle M J N=35,$ find $m \angle M P N$
Choices:
17.5
30
35
70
Answer: 17.5
Problem: <image>Each pair of polygons is similar. Find y
Choices:
48.45
49
88
110
Answer: 48.45
Problem: <image>Find the area of the figure.
Choices:
938.4
1291.9
1523.4
1876.9
Answer: 938.4
Problem: <image>In the figure, $\overline{A B} \parallel \overline{C E} .$ If $D A=6,$ what is $D B ?$
Choices:
6
7
8
9
Answer: 6
Problem: <image>In the figure, $ \triangle ABC$ is isosceles, $ \triangle DCE$ is equilateral, and $ \triangle FCG$ is isosceles. Find the measure of the $\angle 2$ at vertex $C$.
Choices:
14
16
17
18
Answer: 17
Problem: <image>If $\overline{QR} \| \overline{XY}, XQ=15, QZ=12$, and $YR=20$, what is the length of $\overline{RZ}$.
Choices:
15
16
18
24
Answer: 16
Problem: <image>Find $z$ in the figure.
Choices:
22
24
26
28
Answer: 22
Problem: <image>Find $m∠MRQ$ so that $a || b$.
Choices:
13.8
14
42
77
Answer: 77
Problem: <image>If $QR=2$, $XW=12$, $QW=15$, and $ST=5$, find $WV$.
Choices:
5
7.5
8
12
Answer: 7.5
Problem: <image>Find $x$.
Choices:
13.5
19
23.5
47
Answer: 19
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
24.5
49
155.5
180
Answer: 155.5
Problem: <image>Points $S$, $T$, and $U$ are the midpoints of $\overline{DE}$, $\overline{EF}$, and $\overline{DF}$, respectively. Find $y$.
Choices:
2.9
4.0
4.6
5.8
Answer: 5.8
Problem: <image>If $\overline{W P}$ is a perpendicular bisector, $m \angle WHA=8 q+17$, $m \angle HWP=10+q$, $AP=6 r+4$, and $PH=22+3 r$, find $q$.
Choices:
5
6
7
8
Answer: 7
Problem: <image>Find the area of the quadrilateral.
Choices:
130
230
260
520
Answer: 260
Problem: <image>Circle $W$ has a radius of 4 units, $\odot Z$ has a radius of 7 units, and $X Y=2 .$ Find $Y Z$
Choices:
5
10
15
20
Answer: 5
Problem: <image>Quadrilateral JKLM is a rectangle. If $m\angle KJL = 2x + 4$ and $m\angle JLK = 7x + 5$, find $x$.
Choices:
9
22
45
68
Answer: 9
Problem: <image>$\overline{JH}, \overline{JP},$ and $\overline{PH}$ are midsegments of $\triangle KLM$. Find $x$.
Choices:
44
56
60
76
Answer: 60
Problem: <image>Point $S$ is the incenter of $\triangle JPL$. Find $m \angle SJP$.
Choices:
24.5
37.5
56
75
Answer: 37.5
Problem: <image>Find the area of the figure.
Choices:
24
28
56
112
Answer: 56
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
50
75
80
110
Answer: 50
Problem: <image>Find the area of the shaded region. Round to the nearest tenth.
Choices:
61.7
71.2
90
118.3
Answer: 61.7
Problem: <image>Use parallelogram ABCD to find $y $
Choices:
11
34
49
54
Answer: 11
Problem: <image>Find $m \angle 6$.
Choices:
30
40
45
65
Answer: 45
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 QL
Choices:
10
20
30
45
Answer: 10
Problem: <image>Find x.
Choices:
35
50
100
120
Answer: 35
Problem: <image>Find $x$ in the figure.
Choices:
13.5
15
90
180
Answer: 90
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:
1.2
4.1
5.4
7.1
Answer: 4.1
Problem: <image>$\overrightarrow{BA}$ and $\overrightarrow{BC}$ are opposite rays and $\overrightarrow{BD}$ bisects $\angle ABF$. If $m \angle ABF=3x-8$ and $m \angle ABD=x+14$, find $m \angle ABD$.
Choices:
14
36
50
54
Answer: 50
Problem: <image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
7
13
17.1
21
Answer: 17.1
Problem: <image>Use a Pythagorean Triple to find x.
Choices:
26
28
30
32
Answer: 30
Problem: <image>Find $y$.
Choices:
8
11.3
13.9
16
Answer: 16
Problem: <image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear
to be tangent are tangent.
Choices:
2
4
5
10
Answer: 10
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent. 
Choices:
8
15
16
17
Answer: 15
Problem: <image>Find $y$ so that the quadrilateral is a parallelogram
Choices:
1
9
17
29
Answer: 9
Problem: <image>$m \angle 2=2 x, m \angle 3=x$ Find $m\angle 1$
Choices:
30
39
78
114
Answer: 30
Problem: <image>Given $a ∥ b$, find $m∠1$.
Choices:
47
54
79
101
Answer: 79
Problem: <image>Find $h$.
Choices:
4
4 \sqrt 2
4 \sqrt 3
8
Answer: 4 \sqrt 2
Problem: <image>Find $m \angle 3$.
Choices:
15
35
55
75
Answer: 55
Problem: <image>Find the area of the shaded region. Round to the nearest tenth.
Choices:
3.9
5.2
7.9
20.4
Answer: 7.9
Problem: <image>Refer to trapezoid $CDFG$ with median $\overline{HE}$. Let $\overline{YZ}$ be the median of $HEFG$. Find $YZ$.
Choices:
34
38
42
46
Answer: 34
Problem: <image>Find the area of the figure in feet. Round to the nearest tenth, if necessary.
Choices:
24.6
25.5
31.2
36
Answer: 31.2
Problem: <image>Find x.
Choices:
3 \sqrt { 3 }
9
9 \sqrt { 2 }
9 \sqrt { 3 }
Answer: 9 \sqrt { 3 }