Yuting6/Geo3k-augmentation huggingface dataset:
Problem: <image>In the figure, $\overline{A D}$ is perpendicular to $\overline{B C}$ and $\overline{A B}$ is perpendicular to $\overline{A C}$. What is $B C ?$
Choices:
5 \sqrt 2
5 \sqrt 3
20
25
Answer: 20
Problem: <image>In $\odot M$, $FL=24,HJ=48$, and $m \widehat {HP}=65$. Find $m \widehat {PJ}$.
Choices:
37.5
65
85
130
Answer: 65
Problem: <image>Find $G I$ if $G H=9, G K=6,$ and $K J=4$
Choices:
6
9
12
15
Answer: 15
Problem: <image>in $\triangle XYZ$, $P$ is the centroid, $KP=3$, and $XJ=8$. Find $YJ$.
Choices:
3
6
8
9
Answer: 8
Problem: <image>A regular pentagon and a square share a mutual vertex $X$. The sides $\overline{X Y}$ and $\overline{X Z}$ are sides of a third regular polygon with a vertex at $X .$ How many sides does this polygon have?
Choices:
19
20
28
32
Answer: 20
Problem: <image>Use parallelogram $JKLM$ to find $m \angle KJL$.
Choices:
30
40
50
60
Answer: 30
Problem: <image>Find x.
Choices:
\frac { 17 } { 2 }
\frac { 17 } { 2 } \sqrt { 2 }
\frac { 17 } { 2 } \sqrt { 3 }
17
Answer: \frac { 17 } { 2 } \sqrt { 3 }
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
1
2
4
8
Answer: 2
Problem: <image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
9.2
10.2
11.2
12.2
Answer: 11.2
Problem: <image>Find $m\angle CAM$
Choices:
14
28
36
90
Answer: 28
Problem: <image>$a=14, b=48,$ and $c=50$ find $sinA$
Choices:
0.14
0.28
0.48
0.5
Answer: 0.28
Problem: <image>Refer to the triangle shown below. Find $y$ to the nearest tenth.
Choices:
6
8
10
2 \sqrt { 41 }
Answer: 2 \sqrt { 41 }
Problem: <image>In rhombus $A B C D, A B=2 x+3$ and $B C=5 x$. Find AD.
Choices:
1
2
4
5
Answer: 5
Problem: <image>Find x
Choices:
3
4
5
6
Answer: 4
Problem: <image>Find x.
Choices:
4 \sqrt { 2 }
4 \sqrt { 3 }
8
4 \sqrt { 5 }
Answer: 4 \sqrt { 2 }
Problem: <image>Find the measure of $\angle 3$.
Choices:
85
90
95
105
Answer: 95
Problem: <image>Find $m \angle 1$ in the figure.
Choices:
90
113
123
157
Answer: 113
Problem: <image>For trapezoid $Q R S T, A$ and $B$ are midpoints of the legs. Find $m \angle S$
Choices:
45
60
120
135
Answer: 135
Problem: <image>The diameters of $\odot A, \odot B,$ and $\odot C$ are 10, 30 and 10 units, respectively. Find AC if $\overline{A Z} \cong \overline{C W}$ and $C W=2$.
Choices:
2
10
30
34
Answer: 34
Problem: <image>Find y. Round to the nearest tenth, if necessary.
Choices:
5
6
7.4
10
Answer: 7.4
Problem: <image>Find the value of the variable $y$ in the figure.
Choices:
30
50
60
80
Answer: 50
Problem: <image>In $\odot P$, the radius is $2$ inches, find the length of $\widehat {RS}$. Round to the nearest hundredth.
Choices:
2.27
3.91
4.54
7.82
Answer: 4.54
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent. Round to the nearest tenth if necessary.
Choices:
10
20
30
42
Answer: 10
Problem: <image>Find $m \angle R C M$
Choices:
27
43
47
67
Answer: 43
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
31.5
63
126
252
Answer: 63
Problem: <image>Find $m \angle K$
Choices:
6
60
100
180
Answer: 100
Problem: <image>Find $x$.
Choices:
30
35
45
85
Answer: 35
Problem: <image>Find $w$ in the given parallelogram
Choices:
3
4
5
13
Answer: 5
Problem: <image>Find $KL$.
Choices:
7
8
12
15
Answer: 12
Problem: <image>For trapezoid $ABCD$, $S$ and $T$ are midpoints of the legs. If $CD=14$, $ST=10$, and $AB=2x$, find $x$.
Choices:
2
3
10
14
Answer: 3
Problem: <image>Find the height of the parallelogram given its area with 2000 square units.
Choices:
30
40
50
60
Answer: 40
Problem: <image>Find the area of the regular polygon figure. Round to the nearest tenth.
Choices:
12.7
25.5
101.8
203.6
Answer: 101.8
Problem: <image>Find x. Round to the nearest tenth.
Choices:
15.1
30.2
60.4
912.9
Answer: 30.2
Problem: <image>Triangle $LMN$ is equilateral, and $\overline{MP}$ bisects $\overline{LN}$. Find $y$.
Choices:
15
16
17
18
Answer: 18
Problem: <image>If $\overline{PR} \| \overline{KL}, KN=9, LN=16,$ and $PM=2KP$, find $KM$.
Choices:
5
9
12
15
Answer: 15
Problem: <image>If WXYZ is a kite, find WP
Choices:
\sqrt { 20 }
16
20
36
Answer: \sqrt { 20 }
Problem: <image>Equilateral pentagon $P Q R S T$ is inscribed in $\odot U$.
Find $m \angle P S R$
Choices:
36
72
120
144
Answer: 72
Problem: <image>Find $AB$ if $\triangle ABC$ is an isosceles triangle with $\overline{AB} \cong \overline{BC}$. 
Choices:
3
4
7
11
Answer: 7
Problem: <image>Use parallelogram PQRS to find $QP$
Choices:
3
5
8
15
Answer: 5
Problem: <image>Find the measure of $∠T$ to the nearest tenth.
Choices:
21.8
23.6
66.4
68.2
Answer: 21.8
Problem: <image>$P$ is the incenter of $\triangle AEC$. Find $m \angle DEP$.
Choices:
28.5
30
31
33
Answer: 28.5
Problem: <image>Find the circumference of the figure. Round to the nearest tenth.
Choices:
18.6
19.5
37.7
39.0
Answer: 19.5
Problem: <image>The diagonals of rhombus FGHJ intersect at K. If $GH = x + 9$ and $JH = 5x - 2$, find $x$.
Choices:
2.75
3
5.5
9
Answer: 2.75
Problem: <image>Express the ratio of $\tan M$ as a decimal to the nearest hundredth.
Choices:
0.38
0.42
0.92
2.40
Answer: 0.42
Problem: <image>$\overline{MN} \| \overline{BC}$. Solve for $x$.
Choices:
6
9
12
15
Answer: 9
Problem: <image>Find $x$.
Choices:
10
20
30
40
Answer: 30
Problem: <image>$\overline{HK}$ and $\overline{IG}$ are diameters of $\odot L$. Find $m \widehat {IHJ}$.
Choices:
59
135
270
301
Answer: 270
Problem: <image>If $ST=8, TR=4$, and $PT=6$, find $QR$.
Choices:
6
8
9
10
Answer: 9
Problem: <image>Find x.
Choices:
11
11 \sqrt { 2 }
3 \sqrt { 35 }
\sqrt { 653 }
Answer: 3 \sqrt { 35 }
Problem: <image>Find $C F$ if $\overline{B F}$ bisects $\angle A B C$ and $\overline{A C} \| \overline{E D}, B A=6, B C=7.5$, $A C=9,$ and $D E=9$
Choices:
3
4.5
5
7.5
Answer: 5
Problem: <image>Use parallelogram WXYZ to find $m\angle XYZ$
Choices:
30
75
105
180
Answer: 105
Problem: <image>If RL = 5, RT = 9, and WS = 6, find RW.
Choices:
5.4
6
6.6
7.5
Answer: 7.5
Problem: <image>Find the perimeter of $\triangle B C D,$ if $\triangle B C D \sim \triangle F D E, C D=12$, $F D=5, F E=4,$ and $D E=8$.
Choices:
21.3
25.5
29.8
34
Answer: 25.5
Problem: <image>In $\odot X, A B=30, C D=30,$ and $m \widehat{C Z}=40$
Find $m\widehat{C D}$
Choices:
30
40
60
80
Answer: 80
Problem: <image>In $\odot X, A B=30, C D=30,$ and $m \widehat{C Z}=40$
Find ND
Choices:
10
15
20
30
Answer: 15
Problem: <image>Find $x$ for the equilateral triangle $RST$ if $RS = x + 9$, $ST = 2x$, and $RT = 3x - 9$.
Choices:
3
6
9
12
Answer: 9
Problem: <image>In the figure, $\triangle A B C \sim \triangle D E F . \overline{B G}$ is a median of $\triangle A B C,$ and $\overline{E H}$ is a median of $\triangle D E F .$ Find $E H$ if $B C=30, B G=15,$ and $E F=15$
Choices:
7.5
15
22.5
30
Answer: 7.5
Problem: <image>Find the value of x.
Choices:
23
30
67
90
Answer: 23
Problem: <image>Find the measure of $\angle 7$ if $m∠4= m∠5$.
Choices:
63
64
69
89
Answer: 89
Problem: <image>Find $m \angle JKL$.
Choices:
35
37
53
73
Answer: 37
Problem: <image>Find $x$.
Choices:
\frac { 72 } { 7 }
14
\frac { 95 } { 6 }
\frac { 97 } { 6 }
Answer: \frac { 97 } { 6 }
Problem: <image>$m \angle 2=2 x, m \angle 3=x$ Find $m\angle 3$
Choices:
30
45
60
90
Answer: 30
Problem: <image>Find the value of the variable t.
Choices:
3
4
5
6
Answer: 5
Problem: <image>Find $y$ so that each quadrilateral is a parallelogram.
Choices:
31
51
93
129
Answer: 31
Problem: <image>Find $m \angle ABC$.
Choices:
22
24
42
44
Answer: 22
Problem: <image>Use a Pythagorean Triple to find x.
Choices:
66
68
70
72
Answer: 70
Problem: <image>Find x.
Choices:
5
5 \sqrt { 2 }
5 \sqrt { 3 }
10
Answer: 5
Problem: <image>Find $m\angle W$
Choices:
18
27
54
108
Answer: 108
Problem: <image>Find $m\angle A$
Choices:
30
60
90
120
Answer: 60
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 $m\widehat{A D}$
Choices:
45
135
180
360
Answer: 135
Problem: <image>Circle $O$ has a radius of 13 inches. Radius $\overline{O B}$ is perpendicular to chord $\overline{C D}$ which is 24 inches long.
Find OX
Choices:
5
12
13
26
Answer: 5
Problem: <image>Find x. Round the angle measure to the nearest degree
Choices:
98
103
108
113
Answer: 98
Problem: <image>Find the side length in isosceles triangle $DEF$.
Choices:
2
8
9
11
Answer: 11
Problem: <image>Find BC
Choices:
4
8
12
16
Answer: 4
Problem: <image>Express the ratio of $\cos N$ as a decimal to the nearest hundredth.
Choices:
0.38
0.42
0.92
2.40
Answer: 0.38
Problem: <image>Find $y$ in each figure.
Choices:
5
6
7
8
Answer: 6
Problem: <image>Find DE
Choices:
4
6
7
10
Answer: 10
Problem: <image>Find y
Choices:
21.1
22.4
23.4
42.2
Answer: 23.4
Problem: <image>Find x.
Choices:
5
2 \sqrt { 11 }
10
4 \sqrt { 11 }
Answer: 2 \sqrt { 11 }
Problem: <image>$MC=7,RM=4$, and $AT = 16$. Find $MB$.
Choices:
6
8
10
12
Answer: 8
Problem: <image>Find $x$.
Choices:
9
9.6
12
14.4
Answer: 9.6
Problem: <image>In $\triangle DEF, m \angle E=108, m \angle F=26$, and $f=20$, Find $d$ to the nearest whole number.
Choices:
26
33
60
65
Answer: 33
Problem: <image>If $XM=4,XN=6$, and $NZ=9$, find $XY$.
Choices:
4
6
9
10
Answer: 10
Problem: <image>Find the length of $\widehat {AB}$. Round to the nearest hundredth.
Choices:
7.63
9.77
11.13
14.83
Answer: 9.77
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
3
4
5
6
Answer: 5
Problem: <image>Use parallelogram ABCD to find $m\angle ACD$
Choices:
20
29
49
59
Answer: 29
Problem: <image>Find $\angle C$ of quadrilateral ABCD
Choices:
45
90
135
180
Answer: 90
Problem: <image>Find $x$.
Choices:
9.5
10.5
12.5
13.5
Answer: 9.5
Problem: <image>Find x.
Choices:
12
15
18
21
Answer: 15
Problem: <image>In the figure, $m∠1 = 50$ and $m∠3 = 60$. Find the measure of $\angle 4$.
Choices:
40
50
60
70
Answer: 50
Problem: <image>Tangent $\overline{M P}$ is drawn to $\odot O .$ Find $x$ if $M O=20$
Choices:
5
sqrt { 80 }
12
16
Answer: 12
Problem: <image>Find x. Round to the nearest hundredth.
Choices:
8.00
10.16
10.24
16.64
Answer: 16.64
Problem: <image>$∠6$ and $∠8$ are complementary, $m∠8 = 47$. Find the measure of $\angle 7$.
Choices:
43
47
86
90
Answer: 90
Problem: <image>Find AB
Choices:
5.5
7
8
10
Answer: 10
Problem: <image>Find $x$.
Choices:
2
5
6
9
Answer: 5
Problem: <image>Find x so that $GJ \parallel FK$. $G H=x+3.5, H J=x-8.5, F H=21, H K=7$.

Choices:
12
12.5
14.5
17.5
Answer: 14.5
Problem: <image>Find the area of the trapezoid.
Choices:
506
667
678.5
851
Answer: 678.5
Problem: <image>$m \angle BAC=38$, $BC=5$, and $DC=5$, find $m \angle DAC$.
Choices:
5
10
38
40
Answer: 38
Problem: <image>Find the measure of the altitude drawn to the hypotenuse.
Choices:
2 \sqrt { 3 }
2 \sqrt { 6 }
4 \sqrt { 3 }
4 \sqrt { 6 }
Answer: 4 \sqrt { 3 }
Problem: <image>Each pair of polygons is similar. Find AC
Choices:
7
7.6
12
19
Answer: 7.6
Problem: <image>The area $A$ of the shaded region is given. Find $x$. $A = 66$ cm$^2$ .
Choices:
4.6
6.5
13.0
26.0
Answer: 13.0
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
9
9.6
10.2
10.8
Answer: 10.2
Problem: <image>Find the area of the shaded region. Assume that the polygon is regular unless otherwise stated. Round to the nearest tenth.
Choices:
1208.1
1669.9
3444.7
4263.4
Answer: 1208.1
Problem: <image>Find the value of the variable $x$ in the figure.
Choices:
55
115
125
135
Answer: 125
Problem: <image>Find x
Choices:
10.5
12
12.5
14
Answer: 10.5
Problem: <image>Find $m \angle H$.
Choices:
26
31
62
88
Answer: 31
Problem: <image>Find $x$ if $\triangle JLM \sim \triangle QST$.
Choices:
1.5
2
3
4
Answer: 1.5
Problem: <image>Find $h$ in each triangle.
Choices:
11
11 \sqrt 2
11 \sqrt 3
22
Answer: 11
Problem: <image>Find $m\angle MPQ$.
Choices:
45
56
79
101
Answer: 101
Problem: <image>Find PT
Choices:
6
\frac { 20 } { 3 }
7
22 / 3
Answer: \frac { 20 } { 3 }
Problem: <image>If DB = 24, AE = 3, and EC = 18, find AD
Choices:
3
4
6
8
Answer: 4
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
35.7
49
71.4
104.0
Answer: 35.7
Problem: <image>Use parallelogram $JKLM$ to find $m \angle JKL$.
Choices:
60
70
80
90
Answer: 80
Problem: <image>Find y.
Choices:
21
21 \sqrt { 2 }
21 \sqrt { 3 }
42
Answer: 21 \sqrt { 3 }
Problem: <image>Express the ratio of $\cos A$ as a decimal to the nearest hundredth.
Choices:
0.60
0.75
0.80
1.33
Answer: 0.60
Problem: <image>$\overline{WTY} \cong \overline{TWY}$. Find $x$.
Choices:
2
4
5
10
Answer: 5
Problem: <image>JKLM is a rectangle. MLPR is a rhombus. $\angle J M K \cong \angle R M P$, $m \angle J M K=55, \text { and } m \angle M R P=70 . Find $m \angle K L P$
Choices:
20
110
140
160
Answer: 160
Problem: <image>$\triangle BCD \cong \triangle WXY$. Find $x$.
Choices:
2
3
4
5
Answer: 3
Problem: <image>Find the area of the parallelogram.
Choices:
552
575
598
720
Answer: 552
Problem: <image>Find $m \angle ABC$.
Choices:
42
51
56
148
Answer: 51
Problem: <image>Find x. Round to the nearest tenth.
Choices:
3.9
11.8
28.7
30.7
Answer: 30.7
Problem: <image>Find y
Choices:
6
8
10
12
Answer: 6
Problem: <image>Use parallelogram ABCD to find $m \angle CDF $
Choices:
34
43
47
77
Answer: 43
Problem: <image>Quadrilateral $ABDC$ is a rectangle. If $m\angle1 = 38$, find $m \angle 2$
Choices:
33
38
52
87
Answer: 52
Problem: <image>Find x
Choices:
9
9 \sqrt 3
18
18 \sqrt 3
Answer: 9
Problem: <image>Use parallelogram MNPR to find $m \angle MNP$
Choices:
33
38
71
109
Answer: 71
Problem: <image>Express the ratio of $\cos P$ as a decimal to the nearest hundredth.
Choices:
0.47
0.53
0.88
1.88
Answer: 0.47
Problem: <image>Find $x$.
Choices:
3
4
5
6
Answer: 6
Problem: <image>If $AB=12,AC=16$, and $ED=5$, find $AE$.
Choices:
10
12
15
16
Answer: 15
Problem: <image>In $\odot F, \overline{F H} \cong \overline{F L}$ and $\mathrm{FK}=17$.
Find JG
Choices:
15
16
17
30
Answer: 30
Problem: <image>Find z
Choices:
6
8
10
12
Answer: 6
Problem: <image>Find $x$ so that the quadrilateral is a parallelogram.
Choices:
3
5
12
18
Answer: 5
Problem: <image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
Choices:
25
50
60
100
Answer: 50
Problem: <image>Find x
Choices:
2 \sqrt { 3 }
4 \sqrt { 3 }
6 \sqrt { 3 }
8 \sqrt { 3 }
Answer: 8 \sqrt { 3 }
Problem: <image>In the figure, $m∠1 = 50$ and $m∠3 = 60$. Find the measure of $\angle 6$.
Choices:
50
60
70
80
Answer: 70
Problem: <image>Find $\widehat{\mathrm{WN}}$ if $\triangle \mathrm{IWN}$ is equilateral and $W N=5$
Choices:
\frac { 3 } { 5 } \pi
\frac { 5 } { 3 } \pi
5 \pi
10 \pi
Answer: \frac { 5 } { 3 } \pi
Problem: <image>Express the ratio of $\sin N$ as a decimal to the nearest hundredth.
Choices:
0.38
0.42
0.92
2.40
Answer: 0.92
Problem: <image>If $A E=m-2, E C=m+4$， $A D=4,$ and $A B=20,$ find $m$
Choices:
3
4
5
6
Answer: 4
Problem: <image>If $CE=t-2$. $EB=t+1$, $CD=2$, and $CA=10$, find $CE$.
Choices:
1
2
3
4
Answer: 1
Problem: <image>Use parallelogram ABCD to find $m \angle AFD $
Choices:
3
34
49
97
Answer: 97
Problem: <image>In the figure, line $l$ is parallel to line $m$. Line $n$ intersects both $l$ and $m$. Which of the following lists includes all of the angles that are supplementary to $ ∠1 $?
Choices:
angles 2,3, 6, and 7
angles 2,3, and 4
angles 3,4, 7, and 8
angles 4,5, and 8
Answer: angles 2,3, 6, and 7
Problem: <image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
Choices:
66
68
74
76
Answer: 76
Problem: <image>Find x. Round to the nearest tenth.
Choices:
49.5
52.5
55.5
58.5
Answer: 52.5
Problem: <image>Find x.
Choices:
1
2
3
4
Answer: 1
Problem: <image>Circles $G, J,$ and $K$ all intersect at $L$ If $G H=10$, find FH
Choices:
5
10
20
25
Answer: 20
Problem: <image>Find $CD$ if $AC=x-3$, $BE=20, AB=16,$ and $CD=x+5$
Choices:
32
35
36
40
Answer: 40
Problem: <image>Find $m \angle 4$.
Choices:
51
67.5
71.5
92
Answer: 71.5
Problem: <image>Find the area of the triangle. Round to the nearest tenth if necessary.
Choices:
27
36
54
108
Answer: 54
Problem: <image>In regular hexagon UVWXYZ, each side is 12 centimeters long. Find $W Y$.
Choices:
12
6 \sqrt { 6 }
12 \sqrt { 3 }
36
Answer: 12 \sqrt { 3 }
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 } { 4 }
\frac { 1 } { 2 }
\frac { 2 } { 1 }
\frac { 4 } { 1 }
Answer: \frac { 1 } { 2 }
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
6
9
12
15
Answer: 12
Problem: <image>What is the measure of $\angle B$ if $m \angle A=10 ?$
Choices:
30
35
47.5
90
Answer: 30
Problem: <image>Find y.
Choices:
8 \sqrt { 2 }
8 \sqrt { 3 }
16
24
Answer: 8 \sqrt { 3 }
Problem: <image>In the figure, $m∠3 = 110$ and $m ∠ 12 = 55$. Find the measure of $∠13$.
Choices:
55
65
70
110
Answer: 55
Problem: <image>Express the ratio of $\tan L$ as a decimal to the nearest hundredth.
Choices:
0.38
0.42
0.92
2.40
Answer: 0.42
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 $m\widehat{A E}$
Choices:
45
90
180
360
Answer: 90
Problem: <image>Find y
Choices:
3
4.5
5
6
Answer: 5
Problem: <image>Find $a,$ if $F G=18, G H=42,$ and $F K=15$
Choices:
15
18
42
57
Answer: 57
Problem: <image>Point $D$ is the center of the circle. What is $m \angle A B C ?$
Choices:
30
45
60
90
Answer: 90
Problem: <image>Find the value of the variable $x$ in the figure.
Choices:
36
54
60
108
Answer: 54
Problem: <image>Given that the perimeter of $\triangle A B C=25,$ find $x$. Assume that segments that appear tangent to circles are tangent.
Choices:
3
6
7
9
Answer: 3
Problem: <image>In the figure, $m∠1 = 50$ and $m∠3 = 60$. Find the measure of $\angle 8$.
Choices:
100
110
120
130
Answer: 120
Problem: <image>Use parallelogram ABCD to find $m\angle DAC$
Choices:
25
49
72
101
Answer: 72
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 $x$.
Choices:
90
100
110
120
Answer: 110
Problem: <image>Find $m \angle A B C$
if $m \angle C D A=61$
Choices:
55
69
85
140
Answer: 140
Problem: <image>Circle $J$ has a radius of $10$ units, $\odot K$ has a radius of $8$ units, and $BC=5.4$ units. Find $JK$.
Choices:
12.6
14.6
20.6
30.6
Answer: 12.6
Problem: <image>If $c=5,$ find $a$
Choices:
2.5
5
7.5
10
Answer: 2.5
Problem: <image>What is the value of $x$ below to the nearest tenth?
Choices:
22.5
23
23.5
24
Answer: 22.5
Problem: <image>Find the area of the shaded region.
Choices:
6.5
15.6
22.1
37.7
Answer: 22.1
Problem: <image>$\overrightarrow{QP}$ and $\overrightarrow{QR}$ are opposite rays, and $\overrightarrow{QT}$ bisects $\angle SOR$. If $m \angle SOR=6x+8$ and $m \angle TOR=4x-14,$ find $m \angle SQT$.
Choices:
18
32
36
58
Answer: 58
Problem: <image>$UJ=9, VJ=3$, and $ZT=18$. Find $SJ$.
Choices:
3
6
9
12
Answer: 6
Problem: <image>Cut four congruent triangles off the corners of a rectangle to make an octagon. What is the area of the octagon?
Choices:
456
528
552
564
Answer: 528
Problem: <image>Use a calculator to find the measure of $∠J$ to the nearest degree.
Choices:
33
40
50
57
Answer: 40
Problem: <image>Quadrilateral EFGH is a rectangle. If $m \angle HGE = 13$, find $m\angle FGE$.
Choices:
13
46
57
77
Answer: 77
Problem: <image>$ABCD$ is a rhombus. If $PB = 12$, $AB = 15$, and $m \angle ABD = 24$, Find $m\angle BDA$
Choices:
24
55
90
120
Answer: 24
Problem: <image>Find z
Choices:
10
\frac { 32 } { 3 }
\frac { 40 } { 3 }
\frac { 50 } { 3 }
Answer: \frac { 40 } { 3 }
Problem: <image>Find the measure of $\angle 3$ if $\overline{A B} \perp \overline{B C}$.
Choices:
64
68
72
76
Answer: 76
Problem: <image>Find $m\angle B$
Choices:
30
60
90
120
Answer: 120
Problem: <image>Find the measure of $∠A$ to the nearest tenth.
Choices:
33.7
41.8
48.2
56.3
Answer: 41.8
Problem: <image>A square is inscribed in a circle of area 18$\pi$ square units. Find the length of a side of the square.
Choices:
3
3 \sqrt 2
6
6 \sqrt 2
Answer: 6
Problem: <image>$\overline{AB}$ is a diameter, $AC=8$ inches, and $BC=15$ inches. Find the radius of the circle.
Choices:
7.5
8
8.5
17
Answer: 8.5
Problem: <image>Find $m \angle 1$.
Choices:
35
70
75
82
Answer: 70
Problem: <image>Find $x$.
Choices:
3.5
7
10.5
21
Answer: 3.5
Problem: <image> In RSTV, RS $=6, V T=3$ and $R X$ is twice the length of $X V .$ Find $X Y .$
Choices:
3
4
6
9
Answer: 4
Problem: <image>Find the area of the regular polygon figure. Round to the nearest tenth.
Choices:
10.8
21.7
65.0
129.9
Answer: 65.0
Problem: <image>$\overline{GJ}$ is a diameter of $\odot K$. Find $m \widehat {GLJ}$.
Choices:
90
120
180
360
Answer: 180
Problem: <image>Find $m\angle V X W$
Choices:
25
65
115
180
Answer: 65
Problem: <image>In the figure, $\overline{CP}$ is an altitude, $\overline{CQ}$ is the angle bisector of $∠ACB$, and $R$ is the midpoint of $\overline{AB}$. Find  $m∠ACQ$ if $m∠ACB=123-x$ and $m∠QCB = 42 + x$.
Choices:
40
45
50
55
Answer: 55
Problem: <image>Find $m \angle 2$ if $m \widehat{B C}=30$ and $m \widehat{A D}=20$
Choices:
20
25
30
155
Answer: 155
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
120
124.7
207.8
240
Answer: 207.8
Problem: <image>Quadrilateral DEFG is a rectangle. If $m\angle EDF = 5x - 3$ and $m\angle DFG = 3x + 7$, find $m\angle EDF$.
Choices:
22
45
68
90
Answer: 22
Problem: <image>Express the ratio of $\sin P$ as a decimal to the nearest hundredth.
Choices:
0.47
0.53
0.88
1.88
Answer: 0.88
Problem: <image>Find x. Round to the nearest tenth, if necessary.
Choices:
3
9
12.25
24
Answer: 3
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
4
6
8
16
Answer: 4
Problem: <image>Find $XY$ of isosceles $\triangle XYZ$
Choices:
2
7
8
14
Answer: 7
Problem: <image>Find x. Round to the nearest tenth.

Choices:
5.8
6.5
14.2
44.3
Answer: 5.8
Problem: <image>Find the perimeter of the figure. Round to the nearest tenth if necessary.
Choices:
20
21
24
25
Answer: 24
Problem: <image>Find the measure of $∠Z$ to the nearest tenth.
Choices:
29.1
33.7
56.3
60.9
Answer: 33.7
Problem: <image>Find $x$.
Choices:
\frac { 5 } { 3 }
\frac { 7 } { 3 }
4
6
Answer: \frac { 5 } { 3 }
Problem: <image>Find $m \angle Y$
Choices:
80
108
110
114
Answer: 80
Problem: <image>In H, the diameter is $18$, $LM = 12$, and $m \widehat {LM} = 84$. Find $HP$. Round to the nearest hundredth.
Choices:
2.29
3.35
5.65
6.71
Answer: 6.71
Problem: <image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
7.2
8
12
15
Answer: 7.2
Problem: <image>Find $XW$.
Choices:
6
12
18
24
Answer: 12
Problem: <image>Find $QM$.
Choices:
4
8
12
16
Answer: 12
Problem: <image>Find $x$ so that $m || n$.
Choices:
10
20
31
40
Answer: 20
Problem: <image>Find the value of $x$
Choices:
56
68
74
84
Answer: 74
Problem: <image>$m \angle 4=2 y+32$ and $m \angle 5=3 y-3$. Find $y$.
Choices:
18
35
55
72
Answer: 35
Problem: <image>Refer to the figure at the right. Find x.
Choices:
4.61
5.17
6.52
8.46
Answer: 5.17
Problem: <image>Find the measure of $m \widehat{YXZ}$.
Choices:
145
166
194
215
Answer: 166
Problem: <image>Find the area of the shaded region. Round to the nearest tenth.
Choices:
29.5
58.9
147.3
589.0
Answer: 58.9
Problem: <image>Find the area of the figure.
Choices:
30
60
120
240
Answer: 60
Problem: <image>In $\triangle CDF$, $K$ is the centroid and $DK=16$. Find $CD$.
Choices:
9
12
18
18
Answer: 18
Problem: <image>Find $m \angle R$
Choices:
29.1
43.7
54.8
56.1
Answer: 29.1
Problem: <image>In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 7$.
Choices:
54
64
74
84
Answer: 64
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
972
1080
1440
2412
Answer: 1440
Problem: <image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
Choices:
22
40
44
48
Answer: 44
Problem: <image>Find $m \angle CAD$.
Choices:
22
44
66
92
Answer: 44
Problem: <image>Find $m \angle 3$.
Choices:
28
38
52
62
Answer: 38
Problem: <image>$\overline{AD}$ and $\overline{CG}$ are diameters of $\odot B$. Find $m \widehat {AG}$.
Choices:
35
40
45
55
Answer: 55
Problem: <image>Find $ST$.
Choices:
7
12
19
24
Answer: 19
Problem: <image>Find $TQ$.
Choices:
6
7
12
18
Answer: 12
Problem: <image>Find $m \widehat {JKL}$.
Choices:
116
184
232
298
Answer: 232
Problem: <image>In the figure, a regular polygon is inscribed in a circle. Find the measure of a central angle.
Choices:
30
60
90
120
Answer: 60
Problem: <image>parallelogram MNPQ with $m \angle M=10 x$ and $m \angle N=20 x$, find $\angle M$
Choices:
30
45
60
120
Answer: 60
Problem: <image>Find $m \angle B$.
Choices:
29
58
61
122
Answer: 61
Problem: <image>$m \angle 3=x-12$ and $m \angle 6=72$. Find $x$.
Choices:
6
18
72
84
Answer: 84
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
9
Answer: 2
Problem: <image>ABCD is a parallelogram with side lengths as indicated in the figure at the right. The perimeter of ABCD is 22. Find AB
Choices:
7
12
19
22
Answer: 7
Problem: <image>Find z.
Choices:
\sqrt { 19 }
5
3 \sqrt { 19 }
14
Answer: 3 \sqrt { 19 }
Problem: <image>Quadrilateral $WXYZ$ is a rectangle. Find the measure of $\angle 3$ if $m∠1 = 30$.
Choices:
30
45
60
90
Answer: 60
Problem: <image>A plane travels from Des Moines to Phoenix, on to Atlanta, and back to Des Moines, as shown below. Find the distance in miles from  Phoenix to Atlanta if the total trip was 3482 miles.
Choices:
53
73.8
110
1591
Answer: 1591
Problem: <image>Find $x$.
Choices:
60
80
90
120
Answer: 90
Problem: <image>Find x.
Choices:
5 \sqrt { 2 }
5 \sqrt { 3 }
15 \sqrt { 2 }
15 \sqrt { 3 }
Answer: 5 \sqrt { 3 }
Problem: <image>Find x.
Choices:
4
4 \sqrt { 2 }
4 \sqrt { 3 }
8
Answer: 4 \sqrt { 2 }
Problem: <image>Find x
Choices:
2 \sqrt { 3 }
2 \sqrt { 6 }
4 \sqrt { 3 }
4 \sqrt { 6 }
Answer: 4 \sqrt { 6 }
Problem: <image>Find the area of the shaded region formed by the circle and regular polygon. Round to the nearest tenth.
Choices:
76.4
237.8
266.6
314.2
Answer: 76.4
Problem: <image>Find the area of the triangle.
Choices:
256.5
285
389.5
405
Answer: 285
Problem: <image>In the figure, $m \angle 1=4 p+15$, $m \angle 3=3 p-10$ and $m \angle 4=6 r+5 $. Find the value of $p$.
Choices:
15
20
25
30
Answer: 25
Problem: <image>Find $x$ 
Choices:
1
3
5
6
Answer: 1
Problem: <image>The diagram shows the layout of Elm, Plum, and Oak streets. Find the value of $x.$
Choices:
55
115
125
135
Answer: 125
Problem: <image>Find $m \angle N C L$
Choices:
60
120
240
360
Answer: 120
Problem: <image>Find y
Choices:
\frac { \sqrt { 2 } } { 2 }
\sqrt { 2 }
2 \sqrt { 2 }
4 \sqrt { 2 }
Answer: 4 \sqrt { 2 }
Problem: <image>Each pair of polygons is similar. Find GF
Choices:
7.5
11.25
20.7
40.7
Answer: 7.5
Problem: <image>Find x in the figure.
Choices:
30
34
60
68
Answer: 34
Problem: <image>Find $m \angle 6$
Choices:
25
28
35
55
Answer: 35
Problem: <image>Find TX if $E X=24$ and $D E=7$
Choices:
7
24
25
32
Answer: 32
Problem: <image>Find x.
Choices:
4 \sqrt { 2 }
4 \sqrt { 3 }
8
4 \sqrt { 6 }
Answer: 4 \sqrt { 6 }
Problem: <image>Find the measure of $m\angle 2$. Assume that segments that appear
tangent are tangent.
Choices:
85
157.5
230
315
Answer: 157.5
Problem: <image>Find x in the parallelogram
Choices:
37
41
78
115
Answer: 37
Problem: <image>If $A B C D$ is a rhombus, and $m \angle A B C=70^{\circ}$, what is $m \angle 1 ?$
Choices:
45
55
70
125
Answer: 55
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
7.1
14.1
22.1
30.0
Answer: 22.1
Problem: <image>Find x
Choices:
5
10
10 \sqrt { 3 }
20
Answer: 10 \sqrt { 3 }
Problem: <image>Find the area of the figure.
Choices:
25
50
72
144
Answer: 144
Problem: <image>$P Q R S$ is a rhombus inscribed in a circle. Find $m \widehat{SP}$ 
Choices:
30
45
60
90
Answer: 90
Problem: <image>Find GH in the kite
Choices:
12
15
11 \sqrt { 3 }
\sqrt { 369 }
Answer: \sqrt { 369 }
Problem: <image>Find $QP$.
Choices:
2
3.6
5
6
Answer: 3.6
Problem: <image>Find x
Choices:
6
3 \sqrt { 6 }
12
6 \sqrt { 6 }
Answer: 6 \sqrt { 6 }
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 $z$.
Choices:
3
4
5
6
Answer: 3
Problem: <image>Find the value of x.
Choices:
65
132
163
180
Answer: 163
Problem: <image>In $\odot T, Z V=1,$ and $T W=13$. Find XY
Choices:
5
10
12
13
Answer: 10
Problem: <image>Find $x$.
Choices:
30
40
50
60
Answer: 30
Problem: <image>In $\odot S$, $m \widehat {PQR}=98$, Find $m \widehat {PQ}$.
Choices:
45
49
90
98
Answer: 49
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
89.1
178.2
252.0
356.4
Answer: 178.2
Problem: <image>Find y
Choices:
\sqrt { 3 }
6
6 \sqrt { 3 }
18
Answer: 6 \sqrt { 3 }
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
191.5
1128
2256
4512
Answer: 2256
Problem: <image>Find $GD$.
Choices:
10
12
14
20
Answer: 14
Problem: <image>Find $m\angle W$
Choices:
38
38
76
152
Answer: 76
Problem: <image>Find the scale from $B$ to $B'$.
Choices:
\frac { 3 } { 4 }
\frac { 5 } { 6 }
\frac { 6 } { 5 }
\frac { 4 } { 3 }
Answer: \frac { 4 } { 3 }
Problem: <image>Find $z$.
Choices:
7
9
12
15
Answer: 12
Problem: <image>Find the area of the parallelogram.
Choices:
294
315
336
357
Answer: 315
Problem: <image>Find x.
Choices:
2 \sqrt { 3 }
\sqrt { 17 }
\sqrt { 21 }
\sqrt { 29 }
Answer: \sqrt { 21 }
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
80
90
95
110
Answer: 95
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
56.6
138.6
169.7
196
Answer: 169.7
Problem: <image>Find x.
Choices:
0.5
1
1.5
2
Answer: 1
Problem: <image>For trapezoid $T R S V, M$ and $N$ are midpoints of the legs. If $T R=32$ and $M N=25,$ find $V S$
Choices:
18
36
50
64
Answer: 18
Problem: <image>In $\odot P, m \angle M P L=65$ and $\overline{N P} \perp \overline{P L}$.
Find $m \widehat{N J K}$
Choices:
25
75
90
155
Answer: 155
Problem: <image>Find y.
Choices:
\frac { 14 \sqrt 3 } { 3 }
\frac { 28 \sqrt 3 } { 3 }
14 \sqrt { 3 }
28
Answer: \frac { 28 \sqrt 3 } { 3 }
Problem: <image>$\overline{CH} \cong \overline{KJ}$. Find $x$.
Choices:
27
54
55
83
Answer: 55
Problem: <image>Find the measure of $\angle 3$ if $m∠4= m∠5$.
Choices:
116
126
136
146
Answer: 116
Problem: <image>Find $WR$.
Choices:
6
8
10
12
Answer: 8
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 $m \angle PXR=2 a+10$.  If $\overline{RZ}$ is an angle bisector, find $m∠PRZ$.
Choices:
20
25
30
35
Answer: 35
Problem: <image>Find y.
Choices:
14
14 \sqrt { 3 }
28
14 \sqrt { 6 }
Answer: 28
Problem: <image>Find $x$.
Choices:
20
30
40
50
Answer: 30
Problem: <image>Find $EG$ if $G$ is the incenter of $\triangle ABC$.
Choices:
4
5
12
13
Answer: 5
Problem: <image>Find $x$ in the figure.
Choices:
11
12
13
14
Answer: 14
Problem: <image>Find x.
Choices:
2 \sqrt { 15 }
2 \sqrt { 17 }
4 \sqrt { 15 }
4 \sqrt { 17 }
Answer: 4 \sqrt { 15 }
Problem: <image>One diagonal of a rhombus is twice as long as the other diagonal. If the area of the rhombus is 169 square millimeters, what are the lengths of the diagonals?
Choices:
6.5
13
26
52
Answer: 26
Problem: <image>Use parallelogram ABCD to find $m\angle ADC$
Choices:
42
52
72
128
Answer: 128
Problem: <image>Find $x$.
Choices:
5
7
13
14
Answer: 7
Problem: <image>Use parallelogram to find $b$
Choices:
7
11
21
33
Answer: 11
Problem: <image>Find $y$ so that the quadrilateral is a parallelogram
Choices:
11
14
77
98
Answer: 14
Problem: <image>Find $m \angle 1$.
Choices:
37.5
47
52.5
133
Answer: 37.5
Problem: <image>What is the area of $▱ ABCD$?
Choices:
24
30
48
60
Answer: 48
Problem: <image>Find the scale factor from $W$ to $W'$.
Choices:
\frac { 1 } { 3 }
\frac { 2 } { 3 }
\frac { 3 } { 4 }
\frac { 3 } { 2 }
Answer: \frac { 1 } { 3 }
Problem: <image>Circles $G, J,$ and $K$ all intersect at $L$ If $G H=10,$ find each measure.
Find JL
Choices:
5
10
10
25
Answer: 5
Problem: <image>If $m∠5 = 7x - 5$ and $m∠4 = 2x + 23$, find $x$.
Choices:
5.6
18
20
22
Answer: 18
Problem: <image>Find $PN$.
Choices:
25
30
50
60
Answer: 30
Problem: <image>Find x. Assume that any segment that appears to be tangent is tangent.
Choices:
25
27.5
50
105
Answer: 25
Problem: <image>Find the length of $\widehat {JK}$. Round to the nearest hundredth.
Choices:
6.87
13.74
20.62
27.49
Answer: 13.74
Problem: <image>Quadrilateral ABCD is a rectangle. Find x
Choices:
5
12
24
25
Answer: 12
Problem: <image>Let $\overline{G H}$ be the median of $R S B A .$ Find $G H$
Choices:
27
54
62
86
Answer: 62
Problem: <image>Quadrilateral ABCD is a rhombus. If $AB = 2x + 3$ and $BC = x + 7$, find $CD$.
Choices:
4
11
19
20
Answer: 11
Problem: <image>In the figure, KL is tangent to $\odot M$ at K. Find the value of x.
Choices:
6.00
9.45
18.9
37.8
Answer: 9.45
Problem: <image>Use parallelogram $JKLM$ to find $m \angle KLM$
Choices:
71
79
81
89
Answer: 71
Problem: <image>Find the area of the rhombus.
Choices:
68
136
272
544
Answer: 136
Problem: <image>Quadrilateral $WXYZ$ is a rectangle. Find the measure of $\angle 2$ if $m∠1 = 30$.
Choices:
30
60
90
120
Answer: 60
Problem: <image>find $sinS$
Choices:
0.2
0.4
0.6
0.8
Answer: 0.6
Problem: <image>Which segments are parallel?
Choices:
A B and C D
A D and B C
A D and B E
A E and B C
Answer: A D and B E
Problem: <image>Find the area of the figure. Round to the nearest tenth.
Choices:
9.4
18.8
28.3
37.7
Answer: 28.3
Problem: <image>Find $x$.
Choices:
14.4
18
22.5
24
Answer: 22.5
Problem: <image>Find $m \widehat {QTS}$.
Choices:
109
212
248
254
Answer: 248
Problem: <image>Find $RS$ if $\triangle QRS$ is an equilateral triangle.
Choices:
0.5
1
1.5
2
Answer: 2
Problem: <image>Find $x$. $A=357$ in$^2$. 
Choices:
21
22
23
24
Answer: 21
Problem: <image>$MC=7,RM=4$, and $AT=16$. Find $MS$.
Choices:
2
3.5
4
7
Answer: 3.5
Problem: <image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear
to be tangent are tangent.
Choices:
2
5.6
7.6
8
Answer: 5.6
Problem: <image>Find x
Choices:
35
52
77
93
Answer: 93
Problem: <image>Find the area of the triangle. Round to the nearest hundredth.
Choices:
3.76
7.51
13.84
15.02
Answer: 7.51
Problem: <image>Find $a$ in the given parallelogram
Choices:
2
8
9
10
Answer: 9
Problem: <image>Find y.
Choices:
16 \sqrt { 2 }
16 \sqrt { 3 }
32
16 \sqrt { 5 }
Answer: 16 \sqrt { 5 }
Problem: <image>Find the perimeter of the triangle. Round to the nearest hundredth.
Choices:
5.84
6.65
8.21
8.73
Answer: 8.73
Problem: <image>Find $z$ in the given parallelogram
Choices:
4
4.5
5
9.5
Answer: 4.5
Problem: <image>Find the value of $t$ in the parallelogram.
Choices:
6
7
8
13
Answer: 7
Problem: <image>Find $K J$ if $G J=8, G H=12,$ and $H I=4$
Choices:
2
4
6
8
Answer: 2
Problem: <image>Quadrilateral ABCD is a rectangle. $m\angle 2 = 40$. Find $m \angle 8$
Choices:
40
50
80
100
Answer: 100
Problem: <image>$m \angle 4=42$. Find $m \angle 7$.
Choices:
42
48
132
138
Answer: 138
Problem: <image>Find $QS$.
Choices:
5
15
20
25
Answer: 25
Problem: <image>Which of the following facts would be sufficient to prove that line $d$ is parallel to $\overline {XZ}$?
Choices:
\angle 1 \cong \angle 3
\angle 1 \cong \angle Z
\angle 2 \cong \angle X
\angle 3 \cong \angle Z
Answer: \angle 3 \cong \angle Z
Problem: <image>Circle $A$ has diameters $\overline{D F}$ and $\overline{P G}$
If $D F=10$, find $D A$
Choices:
5
10
20
25
Answer: 5
Problem: <image>Use parallelogram MNPR to find $x$
Choices:
8
20
24
32
Answer: 8
Problem: <image>$\overline{EB} \| \overline{DC}$. Find $AB$.
Choices:
5
7.5
9.5
10
Answer: 7.5
Problem: <image>Find the area of the figure.
Choices:
22
44
60
120
Answer: 120
Problem: <image>In the figure, $m∠3 = 110$ and $m ∠ 12 = 55$. Find the measure of $∠1$.
Choices:
55
110
125
135
Answer: 110
Problem: <image>Find $x$ so that the quadrilateral is a parallelogram.
Choices:
4
8
11
19
Answer: 4
Problem: <image>In $\odot F, m \angle D F A=50$ and $\overline{C F} \perp \overline{F B}$. Find $m \widehat{A C E}$
Choices:
75
115
150
230
Answer: 230
Problem: <image>If $FGHJ$ is a kite, find $m\angle GFJ$.
Choices:
72
80
128
190
Answer: 80
Problem: <image>Find $m \angle Z$
Choices:
80
108
110
112
Answer: 110
Problem: <image>Find $AD$.
Choices:
5.5
6
7.5
9
Answer: 7.5
Problem: <image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
Choices:
70
72
76
78
Answer: 76
Problem: <image>Find the area of the shaded region. Round to the nearest tenth.
Choices:
10.7
19.6
30.4
50.0
Answer: 10.7
Problem: <image>Find $x$ so that each quadrilateral is a parallelogram.
Choices:
13
26
39
52
Answer: 13
Problem: <image>Find y
Choices:
4
6
8
10
Answer: 10
Problem: <image>$\triangle JKL \sim \triangle WYZ$. Find $x$.
Choices:
13
21
32
44
Answer: 21
Problem: <image>Find x
Choices:
2
3
4
6
Answer: 2
Problem: <image>Find x. Assume that any segment that appears to be tangent is tangent.
Choices:
10
30
90
120
Answer: 10
Problem: <image>Find x. Round to the nearest tenth.
Choices:
18.8
23.2
25.9
44.0
Answer: 18.8
Problem: <image>$\overline{AB} \cong \overline{DF}$. Find $x$.
Choices:
1
2
3
4
Answer: 2
Problem: <image>Quadrilateral ABCD is a rectangle. $m\angle 2 = 40$. Find $m \angle 3$
Choices:
10
40
50
90
Answer: 40
Problem: <image>If $LK=4,MP=3,PQ=6,KJ=2,RS=6$, and $LP=2$, find $ML$.
Choices:
2
3
4
6
Answer: 2
Problem: <image>Use parallelogram MNPR to find $m \angle RNP$
Choices:
38
52
52
62
Answer: 38
Problem: <image>For the pair of similar figures, use the given areas to find $x$.
Choices:
1
2
8
16
Answer: 8
Problem: <image>Find $AB$.
Choices:
3.5
4.1
4.5
5.1
Answer: 4.1
Problem: <image>Find BC
Choices:
4
6
7
8
Answer: 6
Problem: <image>If $PR \parallel  KL$, KN = 9, LN = 16, PM = 2 KP, find PR
Choices:
15
32 / 2
\frac { 50 } { 3 }
17
Answer: \frac { 50 } { 3 }
Problem: <image>Find $x$. Round to the nearest tenth.
Choices:
1.4
7.1
14.1
15.6
Answer: 14.1
Problem: <image>In rhombus $A B C D, m \angle D A B=2, m \angle A D C$ and $C B=6$. Find $m \angle A C D$
Choices:
45
60
90
180
Answer: 60
Problem: <image>If $c=5,$ find $b$
Choices:
\sqrt { 3 }
1.5 \sqrt { 3 }
2 \sqrt { 3 }
2.5 \sqrt { 3 }
Answer: 2.5 \sqrt { 3 }
Problem: <image>Find the measure of $\angle AFB$ on $\odot F$ with diameter $\overline{AC} $.
Choices:
72
108
120
144
Answer: 108
Problem: <image>Polygon ABCD ~ polygon AEFG, $m\angle AGF = 108$, GF = 14, AD = 12, DG = 4.5, EF = 8, and AB = 26.
Find $m\angle ADC$
Choices:
14
72
108
120
Answer: 108
Problem: <image>Chords $\overline{A C}$ and $\overline{D F}$ are equidistant from the center. If the radius of $\odot G$ is 26 find $A C$
Choices:
5
10
13
48
Answer: 48
Problem: <image>Find $m \angle 3$.
Choices:
38
60
66
72
Answer: 66
Problem: <image>Find $x$.
Choices:
3
4.5
9
13.5
Answer: 4.5
Problem: <image>Find $x$ so that $\overline{BE}$ and $\overline{AD}$ are perpendicular.
Choices:
5
10
20
30
Answer: 10
Problem: <image>The ratio of the measures of the angles of the triangle below is 3 : 2 : 1. Which of the following is not an angle measure of the triangle?
Choices:
30
45
60
90
Answer: 45
Problem: <image>Find $m \angle A$ of quadrilateral ABCD
Choices:
45
90
135
180
Answer: 135
Problem: <image>In the figure, square $ABDC$ is inscribed in $\odot K$. Find the measure of a central angle.
Choices:
45
60
90
180
Answer: 90
Problem: <image>If PR || KL, KN = 9, LN = 16, PM = 2 KP, find MN
Choices:
7
12
15
16
Answer: 12
Problem: <image>Find $y$.
Choices:
5
5 \sqrt { 3 }
10
5 \sqrt { 5 }
Answer: 5 \sqrt { 5 }
Problem: <image>If AB || DC, find x.
Choices:
32.5
65
105
115
Answer: 115
Problem: <image>Find y.
Choices:
30
45
60
90
Answer: 45
Problem: <image>Find x
Choices:
30
60
90
120
Answer: 120
Problem: <image>Find $y$.
Choices:
2
3
5
6
Answer: 2
Problem: <image>Find $x$.
Choices:
24
56
65
115
Answer: 65
Problem: <image>Find $m \angle 4$.
Choices:
33
43
57
123
Answer: 33
Problem: <image>Find the area of $▱ JKLM$.
Choices:
12
22.4
24
48
Answer: 24
Problem: <image>Find $KL$.
Choices:
4
5
12
15
Answer: 12
Problem: <image>Find x to the nearest hundredth.
Choices:
5.13
5.46
15.96
43.86
Answer: 43.86
Problem: <image>Find y.
Choices:
6 \sqrt { 2 }
12 \sqrt { 2 }
12 \sqrt { 3 }
24
Answer: 12 \sqrt { 2 }
Problem: <image>Find the measure of $\angle 2$ if $\overline{A B} \perp \overline{B C}$.
Choices:
64
68
72
76
Answer: 68
Problem: <image>If $CW=WF$ and $ED=30$, what is $DF$?
Choices:
15
30
45
60
Answer: 15
Problem: <image>Trapezoid $GHJK$ has an area of 75 square meters. Find the height.
Choices:
2.5
3
5
7.5
Answer: 5
Problem: <image>Use parallelogram MNPR to find $m \angle RMN$
Choices:
33
38
71
109
Answer: 109
Problem: <image>Find the area of the kite.
Choices:
168
336
672
1344
Answer: 336
Problem: <image>Find tan X
Choices:
\frac { 5 } { 12 }
\frac { 12 } { 13 }
\frac { 17 } { 12 }
\frac { 12 } { 5 }
Answer: \frac { 5 } { 12 }
Problem: <image>Use parallelogram JKLM to find $m \angle KJL$ if $J K=2 b+3$ and $J M=3 a$.
Choices:
30
70
80
100
Answer: 30
Problem: <image>If $XN=6,XM=2$, and $XY=10$, find $NZ$.
Choices:
12
16
24
32
Answer: 24
Problem: <image>Find $BC$.
Choices:
5
9
12
13
Answer: 13
Problem: <image>In $\odot M$, $FL=24,HJ=48$, and $m \widehat {HP}=65$. Find $FG$.
Choices:
24
32
48
65
Answer: 48
Problem: <image>Find the measure of $\angle 2$.
Choices:
23
24
28
33
Answer: 28
Problem: <image>Find $m\angle H$
Choices:
97
102
107
122
Answer: 97
Problem: <image>Find the measure of $\angle CFD$ on $\odot F$ with diameter $\overline{AC} $.
Choices:
115
119
120
123
Answer: 123
Problem: <image>Find $x$ so that each quadrilateral is a parallelogram.
Choices:
2
17
34
68
Answer: 34
Problem: <image>In $\odot R$, find $TV$. Round to the nearest hundredth.
Choices:
9.22
11.00
12.00
18.44
Answer: 18.44
Problem: <image>Quadrilateral $WXYZ$ is inscribed in $\odot V$. Find $m \angle X$.
Choices:
85
95
115
120
Answer: 120
Problem: <image>Find the perimeter of $\triangle W Z X$, if $\triangle W Z X \sim \triangle S R T, S T=6$, $W X=5,$ and the perimeter of $\triangle S R T=15$.
Choices:
12.5
13
15
18
Answer: 12.5
Problem: <image>Find the variable of $x$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
6.0
7.0
8.0
9.0
Answer: 6.0
Problem: <image>Find $x$.
Choices:
1.8
5
46
90
Answer: 5
Problem: <image>In the figure, $m∠11 = 62$ and $m∠14 = 38$. Find the measure of $\angle 1$.
Choices:
38
42
62
80
Answer: 38
Problem: <image>Find $x$. $A=148$ $m^2$. 
Choices:
17.5
18.5
19.5
20.5
Answer: 18.5
Problem: <image>Find y
Choices:
\sqrt { 2 }
3 \sqrt { 2 }
6 \sqrt { 2 }
9 \sqrt { 2 }
Answer: 6 \sqrt { 2 }
Problem: <image>Find x. Round to the nearest tenth.
Choices:
17.4
22.1
22.3
45.9
Answer: 17.4
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
165
180
195
210
Answer: 180
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 $m \angle Z A C$
Choices:
9
36
94
144
Answer: 9
Problem: <image>Find the area of the shaded sector. Round to the nearest tenth.
Choices:
24.3
91.3
182.6
524.3
Answer: 182.6
Problem: <image>In $\odot Z, \angle W Z X \cong \angle X Z Y, m \angle V Z U=4 x$, $m \angle U Z Y=2 x+24,$ and $\overline{V Y}$ and $\overline{W U}$ are diameters.
Find $m\widehat{W U X}$
Choices:
52
104
154
308
Answer: 308
Problem: <image>Find x.
Choices:
\sqrt { 7 }
3 \sqrt { 2 }
3 \sqrt { 3 }
3 \sqrt { 6 }
Answer: \sqrt { 7 }
Problem: <image>$\overline{XY}$ and $\overline{XZ}$ are midsegments of $\triangle RST$. Find $ST$.
Choices:
7
13
14
20
Answer: 14
Problem: <image>Find the measure of $\angle 1$.
Choices:
25
55
65
75
Answer: 65
Problem: <image>$\overline{AB} \perp \overline{DC}$ and $\overline{GH} \perp \overline{FE}$.
If $\triangle ACD \sim \triangle GEF$, find $AB$.
Choices:
2.2
3.6
4.4
6.3
Answer: 2.2
Problem: <image>Find $x$.
Choices:
45
90
180
360
Answer: 90
Problem: <image>If $\triangle L M N \sim \triangle Q R S, Q R=35, R S=37, S Q=12$, and $N L=5$, find the perimeter of $\triangle L M N$. 
Choices:
35
42
63
84
Answer: 35
Problem: <image>Find the area of the shaded region. Assume that the polygon is regular unless otherwise stated. Round to the nearest tenth.
Choices:
216.6
282.9
464.8
819.6
Answer: 216.6
Problem: <image>If two sides of a triangle measure 12 and 7, which of the following cannot be the perimeter of the triangle?
Choices:
29
34
37
38
Answer: 38
Problem: <image>Each pair of polygons is similar. Find x
Choices:
8
12
15
20
Answer: 8
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
\frac { 3 } { 14 }
\frac { 14 } { 3 }
12
16
Answer: \frac { 14 } { 3 }
Problem: <image>$\triangle LMN \cong \triangle QRS$. Find $x$.
Choices:
3
5
7
18
Answer: 5
Problem: <image>JKLM is a rectangle. MLPR is a rhombus. $\angle J M K \cong \angle R M P$, $m \angle J M K=55, \text { and } m \angle M R P=70 . Find $m \angle K M L$
Choices:
35
70
110
140
Answer: 35
Problem: <image>Circle $J$ has a radius of $10$ units, $\odot K$ has a radius of $8$ units, and $BC=5.4$ units. Find $CK$.
Choices:
2.4
2.6
2.8
4
Answer: 2.6
Problem: <image>Find $m \angle WYZ$.
Choices:
4
16
23
32
Answer: 23
Problem: <image>Each pair of polygons is similar. Find y
Choices:
5
12
15
20
Answer: 5
Problem: <image>Find the measure of $m∠1$.
Choices:
54.5
90
109
218
Answer: 109
Problem: <image>$a=14, b=48,$ and $c=50$ find $cosA$
Choices:
0.14
0.48
0.50
0.96
Answer: 0.96
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:
35.2
43.2
53.5
56.9
Answer: 56.9
Problem: <image>$UJ=9, VJ=3$, and $ZT=18$. Find $SV$.
Choices:
3
6
9
12
Answer: 9
Problem: <image>Find the measure of $JK$.
Choices:
15.5
31
62
124
Answer: 31
Problem: <image>Find $PS$.
Choices:
7
9
14
16
Answer: 9
Problem: <image>Find x
Choices:
25
40
65
115
Answer: 115
Problem: <image>Find $m \widehat {XZ}$.
Choices:
56
68
88
92
Answer: 88
Problem: <image>Find the area of the rhombus.
Choices:
38
84
168
336
Answer: 168
Problem: <image>Find x.
Choices:
33
33 \sqrt { 2 }
33 \sqrt { 3 }
33 \sqrt { 5 }
Answer: 33 \sqrt { 3 }
Problem: <image>In the figure, $m ∠1 = 58 $, $m ∠2 = 47 $, and $m ∠3 = 26 $. Find the measure of $∠5$.
Choices:
43
47
58
73
Answer: 47
Problem: <image>Find the measure of $\angle 3$ in the figure.
Choices:
52
56
60
68
Answer: 68
Problem: <image>Circle $O$ has a radius of 13 inches. Radius $\overline{O B}$ is perpendicular to chord $\overline{C D}$ which is 24 inches long.
If $m \widehat{C D}=134,$ find $m \widehat{C B}$
Choices:
24
33
67
134
Answer: 67
Problem: <image>$\overline{EB} \| \overline{DC}$. Find $x$.
Choices:
5
7.5
9.5
10
Answer: 9.5
Problem: <image>Find $\angle 9$
Choices:
60
120
240
300
Answer: 120
Problem: <image>Find x. Round to the nearest tenth.
Choices:
37.2
40.6
49.4
52.8
Answer: 37.2
Problem: <image>Find x.
Choices:
10
11
12
13
Answer: 12
Problem: <image>Find x.
Choices:
9 \sqrt { 6 }
18 \sqrt { 6 }
54
36 \sqrt { 3 }
Answer: 18 \sqrt { 6 }
Problem: <image>The segment is tangent to the circle. Find $x$. Round to the nearest tenth.
Choices:
7.5
8.5
9.2
13.0
Answer: 8.5
Problem: <image>Find z.
Choices:
\sqrt { 3 }
3
3 \sqrt { 3 }
6
Answer: 3
Problem: <image>Use parallelogram ABCD to find $m\angle DAB$
Choices:
20
59
72
101
Answer: 101
Problem: <image>Find $m \angle 2$.
Choices:
39
42
48
51
Answer: 39
Problem: <image>Find x
Choices:
21
34
58
67
Answer: 58
Problem: <image>Find x.
Choices:
8
8 \sqrt { 3 }
24
16 \sqrt { 3 }
Answer: 8
Problem: <image>In the figure, $m∠4 = 101$. Find the measure of $\angle 6$.
Choices:
69
79
89
101
Answer: 101
Problem: <image>Find x. Round to the nearest hundredth.
Choices:
13.30
20.99
27.44
49.50
Answer: 27.44
Problem: <image>Find $x$.
Choices:
12
16
51
65
Answer: 16
Problem: <image>Find the measure of the altitude drawn to the hypotenuse.
Choices:
14
\sqrt { 336 }
24
336
Answer: \sqrt { 336 }
Problem: <image>In $\odot P, m \angle M P L=65$ and $\overline{N P} \perp \overline{P L}$.
Find $m \widehat{N M}$
Choices:
25
45
65
90
Answer: 25
Problem: <image>Find the area of the figure. Round to the nearest tenth.
Choices:
19.5
30.2
60.4
120.8
Answer: 30.2
Problem: <image>Find the area of the shaded sector. Round to the nearest tenth.
Choices:
0.9
1.8
10.8
12.6
Answer: 1.8
Problem: <image>$\Delta EFG$ is equilateral, and $\overline{E H}$ bisects $\angle E$. Find $m \angle 2$.
Choices:
15
30
45
60
Answer: 30
Problem: <image>Solve for x in the figure. Round to the nearest tenth if necessary.
Choices:
3
22
25
28
Answer: 3
Problem: <image>Find the perimeter of the figure.
Choices:
22
32
40
42
Answer: 32