Yuting6/Geo3k-augmentation huggingface dataset:
Problem: <image>Each pair of polygons is similar. Find EG
Choices:
5.675
11.25
15.525
66
Answer: 15.525
Problem: <image>Find y so that $e || f$.
Choices:
20
25
80
90
Answer: 20
Problem: <image>If QRST is a parallelogram, what is the value of x?
Choices:
11
12
13
14
Answer: 13
Problem: <image>Find $x$ so that $ m \parallel n $.
Choices:
9
10
11
12
Answer: 9
Problem: <image>Find y
Choices:
8
16
16 \sqrt { 3 }
16 \sqrt { 3 }
Answer: 16
Problem: <image>Find x.
Choices:
\frac { 5 } { 3 } \sqrt { 3 }
5
5 \sqrt { 3 }
10
Answer: 5 \sqrt { 3 }
Problem: <image>Find the value of $x$ in the figure below.
Choices:
68
112
120
128
Answer: 128
Problem: <image>Find x
Choices:
11.4
22.6
32.3
43.2
Answer: 22.6
Problem: <image>Find $m \angle SRT$.
Choices:
50
55
60
65
Answer: 65
Problem: <image>Find $m\angle 1$
Choices:
\pi
48
96
360
Answer: 48
Problem: <image>Find $x$ so that the quadrilateral is a parallelogram.
Choices:
5
8
9
17
Answer: 8
Problem: <image>Find the perimeter of the figure.
Choices:
25
50
100
144
Answer: 50
Problem: <image>Find $\widehat{D G}$ if $m \angle D G I=24$ and $r=6$
Choices:
6
\frac { 22 } { 5 } \pi
24
24 \pi
Answer: \frac { 22 } { 5 } \pi
Problem: <image>Find $x$.
Choices:
35
36
66
78
Answer: 66
Problem: <image>Find $x$.
Choices:
1
2
3
4
Answer: 4
Problem: <image>Find the perimeter of $\triangle C B H,$ if $\triangle C B H \sim \triangle F E H, A D E G$ is a parallelogram, $C H=7, F H=10$, $F E=11,$ and $E H=6$.
Choices:
18.9
23.1
31.5
38.6
Answer: 18.9
Problem: <image>The area of $▱ A B C D$ is 150 square meters. The area of $▱ F G H J$ is 54 square meters. If $▱ A B C D \sim ▱ F G H J$, find the scale factor of $▱ F G H J$ to $▱ A B C D$.
Choices:
\frac { 9 } { 25 }
\frac { 3 } { 5 }
\frac { 5 } { 3 }
\frac { 25 } { 9 }
Answer: \frac { 3 } { 5 }
Problem: <image>In the figure, $m∠1 = 50$ and $m∠3 = 60$. Find the measure of $\angle 2$.
Choices:
100
110
120
130
Answer: 110
Problem: <image>If $m \angle 1=3 x+40$, $m \angle 2=2(y-10)$, and $m \angle 3=2 x+70$, find $x$.
Choices:
30
40
70
75
Answer: 30
Problem: <image>Find y.
Choices:
5 \sqrt { 3 }
15
10 \sqrt { 3 }
30
Answer: 10 \sqrt { 3 }
Problem: <image>Find y.
Choices:
3
3 \sqrt { 3 }
6
3 \sqrt { 5 }
Answer: 3 \sqrt { 5 }
Problem: <image>Find the area of the shaded region formed by the circle and regular polygon. Round to the nearest tenth.
Choices:
0.6
1.3
1.9
3.9
Answer: 1.9
Problem: <image>Find $y$.
Choices:
6.5
7
7.5
9
Answer: 7.5
Problem: <image>Find $MN$.
Choices:
11
15
17
29
Answer: 29
Problem: <image>$\overline{E C}$ and $\overline{A B}$ are diameters of $\odot O$.  Find its measure of $\widehat{ACE}$.
Choices:
60
90
180
270
Answer: 270
Problem: <image>Find y.
Choices:
\frac { 15 } { 2 }
\frac { 15 } { 2 } \sqrt { 2 }
\frac { 15 } { 2 } \sqrt { 3 }
15
Answer: \frac { 15 } { 2 }
Problem: <image>Find the measure of $\angle 1$ if $m∠4= m∠5$.
Choices:
53
63
64
69
Answer: 64
Problem: <image>Find $m\angle C$
Choices:
38
66
72
128
Answer: 128
Problem: <image>Find the perimeter or circumference of the figure. Round to the nearest tenth.
Choices:
4.3
8
8.6
17.2
Answer: 8.6
Problem: <image>Find $m \angle T$.
Choices:
15
35
55
60
Answer: 55
Problem: <image>Quadrilateral ABCD is a rhombus. If $m\angle ABC = 2x – 7$ and $m\angle BCD = 2x + 3$, find $m\angle DAB$.
Choices:
33
50
95
120
Answer: 95
Problem: <image>Use parallelogram ABCD to find $m\angle BCD$
Choices:
20
32
52
128
Answer: 52
Problem: <image>Find $x$.
Choices:
95
120
140
145
Answer: 145
Problem: <image>$a=14, b=48,$ and $c=50$, find $tanB$
Choices:
3.43
4.8
5.2
6.86
Answer: 3.43
Problem: <image>Find $m\angle B$
Choices:
90
180
270
360
Answer: 90
Problem: <image>Find $x$.
Choices:
12
18
18.9
28
Answer: 18
Problem: <image>If $AC = 12$ and $AB = 25$, what is the measure of $∠B$ to the nearest tenth?
Choices:
25.6
28.7
61.3
64.4
Answer: 28.7
Problem: <image>The area of a circle is 20 $\pi$ square centimeters. What is its circumference?
Choices:
\sqrt 5 \pi
2 \sqrt 5 \pi
4 \sqrt 5 \pi
20 \pi
Answer: 4 \sqrt 5 \pi
Problem: <image>Use parallelogram to  find $y$
Choices:
5
10
11
17
Answer: 17
Problem: <image>Find the measure of $\angle 3$.
Choices:
13
14
15
18
Answer: 14
Problem: <image>Find the area of the shaded sector. Round to the nearest tenth.
Choices:
3.4
4.6
9.1
12.6
Answer: 3.4
Problem: <image>Find x.
Choices:
6
6 \sqrt { 2 }
6 \sqrt { 3 }
12 \sqrt { 3 }
Answer: 6
Problem: <image>Find $m \angle DAB$.
Choices:
55
110
125
135
Answer: 125
Problem: <image>Find the perimeter of $\triangle D E F$ if $\triangle D E F \sim \triangle A B C$
Choices:
15
16
24
30
Answer: 24
Problem: <image>Circle $O$ has a radius of $10, A B=10$ and $m \overrightarrow{A B}=60 .$ Find $m\widehat{A Y}$
Choices:
10
30
60
90
Answer: 30
Problem: <image>Find the area of the parallelogram.
Choices:
184
260.2
318.7
368
Answer: 318.7
Problem: <image>Use parallelogram ABCD to find $x$
Choices:
3
6
10
13
Answer: 3
Problem: <image>The two circles are congruent. Find $x$.
Choices:
9
16
31
41
Answer: 16
Problem: <image>Find x. Round to the nearest hundredth.
Choices:
4.47
5.34
6.54
7.21
Answer: 7.21
Problem: <image>Find x. Assume that any segment that appears to be tangent is tangent.
Choices:
30
120
150
210
Answer: 210
Problem: <image>Find $m \angle v$.
Choices:
12
52
68
76
Answer: 76
Problem: <image>Find $y$ so that each quadrilateral is a parallelogram.
Choices:
7
19
25
55
Answer: 7
Problem: <image>Find $x$ so that the quadrilateral is a parallelogram.
Choices:
2
4
10
12
Answer: 2
Problem: <image>Find the area of the kite.
Choices:
5.25
10
10.5
21
Answer: 10.5
Problem: <image>The segment is tangent to the circle. Find $x$.
Choices:
2
3
4
5
Answer: 3
Problem: <image>Find the measure of $\angle C$. Round to the nearest degree.
Choices:
51
56
61
66
Answer: 56
Problem: <image>Find x
Choices:
6
4 \sqrt { 3 }
12
8 \sqrt { 3 }
Answer: 8 \sqrt { 3 }
Problem: <image>Find x.
Choices:
0.5
1
2
3
Answer: 0.5
Problem: <image>$\overline{PQ}$ is tangent to the circle. Find $x$. Round to the nearest tenth.
Choices:
4.2
5.2
6.2
7.2
Answer: 5.2
Problem: <image>Quadrilateral $ABCD$ is a rhombus.  If $AP = 3x – 1$ and $PC = x + 9$, find $AC$.
Choices:
17
28
50
76
Answer: 28
Problem: <image>$\overline{E C}$ and $\overline{A B}$ are diameters of $\odot O$.  Find its measure of $\widehat{A C B}$. 
Choices:
45
90
180
270
Answer: 180
Problem: <image>Find $y$.
Choices:
30
35
40
45
Answer: 40
Problem: <image>Find x.
Choices:
8
12.7
15
17
Answer: 17
Problem: <image>In $\odot F, m \angle D F A=50$ and $\overline{C F} \perp \overline{F B}$. Find $m \widehat{C B E}$
Choices:
40
45
90
140
Answer: 140
Problem: <image>Find the area of the shaded sector. Round to the nearest tenth, if necessary.
Choices:
47.5
167.1
285.3
452.4
Answer: 167.1
Problem: <image>Find the area of the shaded sector. Round to the nearest tenth, if necessary.
Choices:
10.8
59.6
60.2
333.9
Answer: 333.9
Problem: <image>Find the exact circumference of the circle.
Choices:
4.5 \pi
9 \pi
18 \pi
81 \pi
Answer: 9 \pi
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 $r$.
Choices:
6
7
8
9
Answer: 6
Problem: <image>Find x. Round the side measure to the nearest tenth.
Choices:
5.2
6.1
13.3
15.7
Answer: 6.1
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
52.4
53.4
57.6
73.6
Answer: 53.4
Problem: <image>Find $m\angle R$
Choices:
30
60
120
150
Answer: 150
Problem: <image>$\overline{E C}$ and $\overline{A B}$ are diameters of $\odot O$.  Find its measure of $\widehat{EB}$.
Choices:
45
90
180
270
Answer: 90
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 $r$.
Choices:
10
15
20
25
Answer: 10
Problem: <image>Suppose $B D=12$ millimeters. Find the radius of the circle.
Choices:
6
12
18
36
Answer: 6
Problem: <image>Find the perimeter of the figure. Round to the nearest hundredth, if necessary.
Choices:
9.2
12.8
12.8
17.3
Answer: 9.2
Problem: <image>Use parallelogram to find $a$
Choices:
7
21
27
28
Answer: 7
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
4
6
8
10
Answer: 4
Problem: <image>Express the ratio of $\cos Q$ as a decimal to the nearest hundredth.
Choices:
0.47
0.53
0.88
1.88
Answer: 0.88
Problem: <image>Find $m \angle R$.
Choices:
13
30
43
77
Answer: 30
Problem: <image>Find $m \angle 4$.
Choices:
53
85
95
100
Answer: 95
Problem: <image>Find $h$.
Choices:
3
6
6 \sqrt { 2 }
6 \sqrt { 3 }
Answer: 6
Problem: <image>In the figure, $ m ∠1 = 3a + 40 $, $ m ∠2 = 2a + 25 $, and $ m ∠3 = 5b - 26 $. Find $a$.
Choices:
23
25
27
29
Answer: 23
Problem: <image>Circle $L$ has a radius of 32 centimeters. $\overline{L H} \perp \overline{G J},$ and $G J=40$ centimeters. Find $L K$
Choices:
20
\sqrt { 624 }
40
624
Answer: \sqrt { 624 }
Problem: <image>Find $m\angle Z$
Choices:
34
68
136
143
Answer: 143
Problem: <image>Find x
Choices:
30
60
90
180
Answer: 30
Problem: <image>Find $x$.
Choices:
42
48
52
58
Answer: 58
Problem: <image>Find $m\angle Q$
Choices:
30
60
120
150
Answer: 60
Problem: <image>In $\odot A$, $WX=XY=22$. Find $AB$.
Choices:
5
10
11
22
Answer: 10
Problem: <image>Use rectangle LMNP, parallelogram LKMJ to solve the problem.
If $m \angle L M P=m \angle P M N,$ find $m \angle P J L$
Choices:
30
45
60
90
Answer: 90
Problem: <image>In $\odot X, A B=30, C D=30,$ and $m \widehat{C Z}=40$
Find $m\widehat{Y B}$
Choices:
30
40
60
80
Answer: 40
Problem: <image>Quadrilateral ABCD is a rectangle. Find x
Choices:
5
10
20
25
Answer: 5
Problem: <image>$ACDF \sim VWYZ$. Find $y$.
Choices:
3
5
6
9
Answer: 3
Problem: <image>Find the perimeter or circumference of the figure. Round to the nearest tenth.
Choices:
12.6
24
25.1
50.2
Answer: 25.1
Problem: <image>Find x. Round the angle measure to the nearest degree.
Choices:
30
35
40
45
Answer: 40
Problem: <image>find $sinR$
Choices:
0.2
0.4
0.6
0.8
Answer: 0.8
Problem: <image>Find $x$. Round to the nearest tenth.
Choices:
3.7
4.8
5.1
6.0
Answer: 4.8
Problem: <image>Use parallelogram ABCD to find $m\angle AFB$
Choices:
20
49
59
131
Answer: 131
Problem: <image>Find x. Round to the nearest hundredth.
Choices:
15.20
15.84
16.16
16.76
Answer: 15.20
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 $m\widehat{B C}$
Choices:
45
90
180
360
Answer: 90
Problem: <image>Find $QR$ if $\triangle QRS$ is an equilateral triangle.
Choices:
0.5
1
1.5
2
Answer: 2
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
8
12
16
20
Answer: 16
Problem: <image>Find the area of the trapezoid.
Choices:
68
136
272
544
Answer: 272
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:
85.1
168.2
203.3
268.7
Answer: 168.2
Problem: <image>Find $y$ so that each quadrilateral is a parallelogram.
Choices:
16
32
74
80
Answer: 16
Problem: <image>Find $AF$.
Choices:
9
10.8
18
21.6
Answer: 10.8
Problem: <image>Find $m \angle F$.
Choices:
20
30
40
60
Answer: 30
Problem: <image>Find $m \angle 1$.
Choices:
15
35
55
70
Answer: 55
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 $m \angle TUV$
Choices:
37
40
43
45
Answer: 43
Problem: <image>Find the variable of $d$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
12.8
14.7
16.9
18.2
Answer: 16.9
Problem: <image>Find the value of $x$ in the diagram.
Choices:
13
26
52
70
Answer: 13
Problem: <image>If $J,P,$ and $L$ are the midpoints of $\overline{KH}, \overline{HM}$ and $\overline{MK}$, respectively. Find $z$.
Choices:
1
2
3
4
Answer: 1
Problem: <image>Find $x$.
Choices:
35
40
50
60
Answer: 50
Problem: <image>In the figure, $m∠1 = 123$. Find the measure of $\angle 6$.
Choices:
47
57
67
123
Answer: 57
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
12
13
14
15
Answer: 13
Problem: <image>Find $x$ so that the quadrilateral is a parallelogram
Choices:
11
25
26
33
Answer: 11
Problem: <image>Find the area of the figure.
Choices:
98.4
112.5
114
128.1
Answer: 112.5
Problem: <image>For the pair of similar figures, find the area of the green figure.
Choices:
12.5
20.0
51.2
81.9
Answer: 12.5
Problem: <image>Find x
Choices:
8 \sqrt { 3 }
10 \sqrt { 3 }
12 \sqrt { 3 }
14 \sqrt { 3 }
Answer: 14 \sqrt { 3 }
Problem: <image>In the figure, $m∠1 = 94$. Find the measure of $\angle 5$.
Choices:
76
86
94
96
Answer: 94
Problem: <image>Find y
Choices:
14
17
21
25
Answer: 21
Problem: <image>Refer to the figure at the right. The orthocenter of $\triangle A B C$ is located 6.4 units from point $D$. Find $B C$.
Choices:
4.33
6.40
10.03
20.25
Answer: 10.03
Problem: <image>$m \widehat{J H}=114$ Find $m\angle 1$
Choices:
23
33
66
114
Answer: 33
Problem: <image>$m∠11 = 4x$, $m∠12 = 2x -6 $. Find the measure of $\angle 12$.
Choices:
50
52
56
62
Answer: 56
Problem: <image>Find $DE$.
Choices:
7.5
9.2
10
18.4
Answer: 7.5
Problem: <image>If $MNPQ \sim XYZW,$ find the scale factor of $MNPQ$ to $XYZW$.
Choices:
2
3
4
7
Answer: 2
Problem: <image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
Choices:
56
58
60
62
Answer: 56
Problem: <image>Find $m \angle 5$.
Choices:
28.5
56
57
123
Answer: 57
Problem: <image>Find x.
Choices:
12
15.5
16
19
Answer: 15.5
Problem: <image>For the pair of similar figures, use the given areas to find $x$.
Choices:
4.2
5
7.2
8.6
Answer: 5
Problem: <image>Find x.
Choices:
\frac { 3 } { 2 } \sqrt { 2 }
\frac { 3 } { 2 } \sqrt { 3 }
3 \sqrt { 2 }
3 \sqrt { 3 }
Answer: \frac { 3 } { 2 } \sqrt { 3 }
Problem: <image>Find $y$.
Choices:
2
3
4
5
Answer: 5
Problem: <image>Find x.
Choices:
7
14
14 \sqrt { 2 }
28
Answer: 14
Problem: <image>In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 13$.
Choices:
54
64
74
84
Answer: 64
Problem: <image>In the figure, $m∠4 = 104$, $m∠14 = 118$. Find the measure of $\angle 9$.
Choices:
62
76
104
118
Answer: 62
Problem: <image>Find the area of the shaded sector. Round to the nearest tenth.
Choices:
6.2
12.5
68.6
311.5
Answer: 311.5
Problem: <image>Find $x$ if $AC=x-3$, $BE=20, AB=16,$ and $CD=x+5$
Choices:
21
35
36
46
Answer: 35
Problem: <image>In the figure, $a ∥ b, c ∥ d$, and $m∠4 = 57$. Find the measure of $\angle 8$.
Choices:
57
113
123
133
Answer: 57
Problem: <image>Find $U B$ if $\triangle R S T \sim \triangle U V W, \overline{T A}$ and $\overline{WB}$ are medians, $T A=8$, $R A=3, W B=3 x-6,$ and $U B=x+2$
Choices:
24
28
32
36
Answer: 36
Problem: <image>Use parallelogram $JKLM$ to find $m \angle MJK$.
Choices:
80
100
110
120
Answer: 100
Problem: <image>Find the perimeter of the triangle. Round to the nearest hundredth.
Choices:
27.31
28.52
60.34
61.55
Answer: 28.52
Problem: <image>$m∠9 = 2x - 4$, $m∠10 = 2x + 4$. Find the measure of $∠9$.
Choices:
45
82
86
94
Answer: 86
Problem: <image>Find $m\angle X$
Choices:
18
36
72
144
Answer: 36
Problem: <image>Find the area of the regular polygon. Round to the nearest tenth.
Choices:
15.6
18.0
31.2
36.0
Answer: 15.6
Problem: <image>Find the measure of $x$.
Choices:
0.5
1.0
1.5
2.0
Answer: 0.5
Problem: <image>$\overline{PQ}$ is tangent to circles $R$ and $S$. Find $PQ$.
Choices:
4 \sqrt 2
6 \sqrt 2
4 \sqrt 6
6 \sqrt 6
Answer: 4 \sqrt 6
Problem: <image>In the figure, $LH$ is the midsegment of trapezoid $FGJK$. What is the value of $x$ ?
Choices:
11.8
15
18.2
33.2
Answer: 11.8
Problem: <image>Find x
Choices:
- 3
0
3
6
Answer: 0
Problem: <image>Find $x$.
Choices:
30
40
50
80
Answer: 40
Problem: <image>In $\triangle ABC$, $\overline{AD}$ and $\overline{DC}$ are angle bisectors and $m \angle B=76$. What is the measure of $\angle ADC $?
Choices:
26
52
76
128
Answer: 128
Problem: <image>What is the value of x in the figure below? Round to the nearest tenth.
Choices:
10.5
11.1
13.6
14.2
Answer: 11.1
Problem: <image>ABCD is a rectangle.  If $A C=9 x-1$ and $A F=2 x+7,$ find $A F$
Choices:
3
6
13
26
Answer: 13
Problem: <image>Find the variable of $r$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
0.8
1.8
2.8
3.8
Answer: 1.8
Problem: <image>Find $m \widehat{B C A}$
Choices:
30
45
55
180
Answer: 180
Problem: <image>Find $y$ in $\triangle P Q R$
Choices:
2 \sqrt { 3 }
2 \sqrt { 6 }
4 \sqrt { 3 }
4 \sqrt { 6 }
Answer: 2 \sqrt { 3 }
Problem: <image>Find x
Choices:
6
8
10
12
Answer: 8
Problem: <image>Find y
Choices:
2 \sqrt { 6 }
\sqrt { 33 }
\sqrt { 34 }
2 \sqrt { 11 }
Answer: \sqrt { 33 }
Problem: <image>Find $m \angle ACB$.
Choices:
92
102
136
144
Answer: 136
Problem: <image>Find $m \angle 8$.
Choices:
28
28.5
56
57
Answer: 28.5
Problem: <image>For the pair of similar figures, use the given areas to find $x$.
Choices:
6.0
10.4
31.2
54.0
Answer: 10.4
Problem: <image>Find the perimeter of the triangle. Round to the nearest tenth if necessary.
Choices:
70.0
75.0
80.0
85.0
Answer: 80.0
Problem: <image>parallelogram MNPQ with $m \angle M=10 x$ and $m \angle N=20 x$, find $\angle N$
Choices:
30
45
60
120
Answer: 120
Problem: <image>Given right triangle $XYZ$ with hypotenuse $\overline{XY}$, $YP$ is equal to $YZ$. If $m ∠PYZ = 26$, find $m ∠XZP$.
Choices:
13
26
32
64
Answer: 13
Problem: <image>Points $S$, $T$, and $U$ are the midpoints of $\overline{DE}$, $\overline{EF}$, and $\overline{DF}$, respectively. Find $x$.
Choices:
4
4.5
5
5.5
Answer: 4
Problem: <image>Circle $A$ has diameters $\overline{D F}$ and $\overline{P G}$
If $P A=7,$ find $P G$
Choices:
7
14
28
35
Answer: 14
Problem: <image>Use rhombus $A B C D$ with $m \angle 1=2 x+20, m \angle 2=5 x-4$, $A C=15,$ and $m \angle 3=y^{2}+26 .$ 
Find x
Choices:
2
4
6
8
Answer: 8
Problem: <image>Find the value of $s$ in the parallelogram.
Choices:
6
8
13
14
Answer: 13
Problem: <image>Find z.
Choices:
\frac { 2 } { 5 } \sqrt { 11 }
\frac { 4 } { 5 } \sqrt { 11 }
\frac { 22 } { 5 }
\frac { 44 } { 5 }
Answer: \frac { 22 } { 5 }
Problem: <image>Find x.
Choices:
15
\sqrt { 285 }
17
2 \sqrt { 285 }
Answer: \sqrt { 285 }
Problem: <image>Find $x$.
Choices:
5
8
10
12
Answer: 10
Problem: <image>Use rectangle LMNP, parallelogram LKMJ to solve the problem.
If $m \angle P L K=110,$ find $m \angle L K M$
Choices:
45
70
110
140
Answer: 140
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
25
39.0
43.3
45
Answer: 39.0
Problem: <image>Find $m\angle M$
Choices:
30
60
120
150
Answer: 30
Problem: <image>Refer to the figure at the right. Find the value of $m ∠ ABD $ if $ p \parallel q $.
Choices:
65
70
75
80
Answer: 75
Problem: <image>Find $x$ if $\overline{AD}$ is an altitude of $\triangle ABC$.
Choices:
12
18
22
24
Answer: 24
Problem: <image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
Choices:
3.2
6.4
12.8
16
Answer: 12.8
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
294
315
336
357
Answer: 315
Problem: <image>Find $y$ so that the quadrilateral is a parallelogram.
Choices:
3
6
9
12
Answer: 3
Problem: <image>Find x. Round to the nearest hundredth.
Choices:
8.63
9.68
16.93
41.85
Answer: 16.93
Problem: <image>Find the diameter of circle M.
Choices:
10.5
27.5
38.0
42.5
Answer: 38.0
Problem: <image>Find the area of the triangle. Round to the nearest tenth if necessary.
Choices:
20
40
60
80
Answer: 20
Problem: <image>For trapezoid $J K L M, A$ and $B$ are midpoints of the legs. If $A B=57$ and $K L=21,$ find $J M$
Choices:
21
57
87
93
Answer: 93
Problem: <image>Find the perimeter of the figure. Round to the nearest tenth if necessary.
Choices:
28
56
112
164
Answer: 56
Problem: <image>Find $y$.
Choices:
35
36
66
78
Answer: 35
Problem: <image>If $ABCDE \sim PQRST,$ find the scale factor of $ABCDE$ to $PQRST$.
Choices:
\frac { 4 } { 3 }
2
\frac { 8 } { 3 }
4
Answer: \frac { 4 } { 3 }
Problem: <image>Find the measure of $∠T$ to the nearest tenth.
Choices:
25.5
28.5
61.5
64.5
Answer: 28.5
Problem: <image>Find y
Choices:
\frac { 17 \sqrt { 2 } } { 2 }
\frac { 19 \sqrt { 2 } } { 2 }
\frac { 21 \sqrt { 2 } } { 2 }
\frac { 23 \sqrt { 2 } } { 2 }
Answer: \frac { 19 \sqrt { 2 } } { 2 }
Problem: <image>Find x. Round side measures to the nearest tenth.
Choices:
26.0
30.0
34.1
39.4
Answer: 30.0
Problem: <image>Find y
Choices:
4 \sqrt { 3 }
8
8 \sqrt { 3 }
16
Answer: 8 \sqrt { 3 }
Problem: <image>Polygon $BCDE$ $\cong$ polygon $RSTU$. Find $w$.
Choices:
3
10
20
42
Answer: 10
Problem: <image>Find $m\angle D$
Choices:
45
79
101
182
Answer: 101
Problem: <image>Find $y$ so that the quadrilateral is a parallelogram
Choices:
9
12
15.5
31
Answer: 15.5
Problem: <image>Find $JL$.
Choices:
7
8
12
15
Answer: 12
Problem: <image>Find $m \angle 4$.
Choices:
26
39
55
62
Answer: 55
Problem: <image>Find x. Assume that any segment that appears to be tangent is tangent.
Choices:
8
40
80
160
Answer: 8
Problem: <image>If $\overline{PR} \| \overline{KL}, KN=9, LN=16,$ and $PM=2KP$, find $MN$.
Choices:
9
12
15
16
Answer: 12
Problem: <image>Find the area of the figure. Round to the nearest tenth, if necessary.
Choices:
740
840
1050
1540
Answer: 1050
Problem: <image>If $m∠2 = 4x + 7$ and $m∠7 = 5x - 13$, find $x$.
Choices:
6
19
20
21
Answer: 20
Problem: <image>If $m\angle BAD = 38$ and $m\angle BCD = 50$, find $m\angle ADC$.
Choices:
12
34
56
146
Answer: 146
Problem: <image>For trapezoid $T R S V, M$ and $N$ are midpoints of the legs. If $V S=21$ and $T R=44,$ find $M N$
Choices:
21
32.5
44
65
Answer: 32.5
Problem: <image>Find the exact circumference of the circle below.
Choices:
16 \pi
32 \pi
128 \pi
256 \pi
Answer: 32 \pi
Problem: <image>In the figure, $m∠4 = 101$. Find the measure of $\angle 5$.
Choices:
69
79
89
101
Answer: 79
Problem: <image>If $A D=24,$ find $C N$
Choices:
12
36
48
60
Answer: 12
Problem: <image>In $\odot P, m \widehat{E N}=66$ and $m \angle G P M=89$ . 
Find $m \angle G M E$
Choices:
57
66
89
155
Answer: 57
Problem: <image>Find $WT$, if $ZX = 20$ and $TY = 15$
Choices:
5
15
20
35
Answer: 5
Problem: <image>If $FK = 3x - 1$, $KG = 4y + 3$, $JK = 6y - 2$, and $KH = 2x + 3$, find $x$ so that the quadrilateral is a parallelogram.
Choices:
4
5
10
12
Answer: 4
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
72
99
126
198
Answer: 99
Problem: <image>Find x so that $GJ \parallel FK$. GF = 12, HG = 6, HJ = 8, JK = x - 4.

Choices:
12
16
18
20
Answer: 20
Problem: <image>Find x. Round the side measure to the nearest tenth.
Choices:
10.5
15.0
35.2
50.6
Answer: 50.6
Problem: <image>The segment is tangent to the circle. Find $x$.
Choices:
6
8
9
12
Answer: 9
Problem: <image>Quadrilateral MNOP is a rectangle. If $M O=6 x+14$ and $P N=9 x+5,$ find $x$
Choices:
3
6
9
12
Answer: 3
Problem: <image>In $\triangle JKL$, $PT=2$. Find $KP$.
Choices:
2
4
6
8
Answer: 4
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 $m \angle R$
Choices:
25
33
40
43
Answer: 43
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
268
288
320
360
Answer: 288
Problem: <image>In $\odot C$, $m \angle HCG=2x$ and $m \angle HCD=6x+28$, find $m \widehat {HD}$.
Choices:
128
134
142
166
Answer: 142
Problem: <image>Find $m \angle 1$.
Choices:
42
72
108
120
Answer: 108
Problem: <image>MNQR is a rectangle. If $N R=2 x+10$ and $N P=2 x-30$
find $M P$
Choices:
10
20
30
40
Answer: 40
Problem: <image>Find the measure of the altitude drawn to the hypotenuse.
Choices:
\sqrt { 3 }
\sqrt { 7 }
\sqrt { 21 }
\sqrt { 147 }
Answer: \sqrt { 147 }
Problem: <image>$\overline{GJ}$ is a diameter of $\odot K$. Find $m \widehat {GH}$.
Choices:
58
61
116
122
Answer: 122
Problem: <image>Find the area of the trapezoid.
Choices:
234
273
286
312
Answer: 273
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent. 
Choices:
7
12
\sqrt { 193 }
14
Answer: \sqrt { 193 }
Problem: <image>Find the perimeter of each polygon for the given information.
Choices:
2
10
30
60
Answer: 60
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 $x$.
Choices:
20
24
28
32
Answer: 20
Problem: <image>Find x.
Choices:
2 \sqrt { 21 }
20 \sqrt { 2 }
2 \sqrt { 221 }
22 \sqrt { 2 }
Answer: 2 \sqrt { 221 }
Problem: <image>Use parallelogram JKLM to find $a$ if $J K=2 b+3$ and $J M=3 a$.
Choices:
7
14
21
45
Answer: 7
Problem: <image>Find $CD$.
Choices:
2
4
8
12
Answer: 4
Problem: <image>Find the area of the shaded region. Assume that the polygon is regular unless otherwise stated. Round to the nearest tenth.
Choices:
41.1
82.2
154.2
267.3
Answer: 154.2
Problem: <image>Find $z$ in the figure.
Choices:
16
36
42
48
Answer: 42
Problem: <image>Find the perimeter of $\triangle Q R S$ if $\triangle Q R S \sim \triangle Q T P$
Choices:
9
14
21
42
Answer: 14
Problem: <image>In the figure, $\triangle FGH$ is a right triangle with hypotenuse $\overline{FH}$ and $GJ = GH$. What is the measure of $∠JGH$?
Choices:
28
56
62
104
Answer: 56
Problem: <image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
Choices:
53.1
56
60.1
63.3
Answer: 60.1
Problem: <image>If $\frac{I J}{X J}=\frac{HJ}{YJ}, m \angle W X J=130$, and $m \angle WZG=20,$ find $m \angle JHG$
Choices:
100
110
120
130
Answer: 110
Problem: <image>Find x. Round to the nearest tenth.
Choices:
28.7
38.0
43.7
50.3
Answer: 28.7
Problem: <image>Find $x$ if $\overline{PS}$ is a median of $\triangle PQR$.
Choices:
1
2
3
4
Answer: 2
Problem: <image>Find the area of the shaded sector. Round to the nearest tenth.
Choices:
1.5
2.2
3.8
5.3
Answer: 1.5
Problem: <image>Find $x$. (Hint: Draw an auxiliary line.)
Choices:
22
36
50
72
Answer: 22
Problem: <image>Given figure $A B C D$, with $\overline{A B} \| \overline{D C}, m \angle B=60, m \angle D=45, B C=8$
and $A B=24,$ find the perimeter.
Choices:
26 + 2 \sqrt { 3 } + 2 \sqrt { 6 }
26 + 4 \sqrt { 3 } + 4 \sqrt { 6 }
52 + 2 \sqrt { 3 } + 2 \sqrt { 6 }
52 + 4 \sqrt { 3 } + 4 \sqrt { 6 }
Answer: 52 + 4 \sqrt { 3 } + 4 \sqrt { 6 }
Problem: <image> $m \widehat{G H}=78$ Find $m\angle 3$
Choices:
39
66
78
114
Answer: 39
Problem: <image>Find $m \angle TQR$.
Choices:
8
34
43
44
Answer: 43
Problem: <image>Find the area of the shaded sector. Round to the nearest tenth, if necessary.
Choices:
42.9
51.3
322.0
706.9
Answer: 322.0
Problem: <image>In the figure, $m∠4 = 104$, $m∠14 = 118$. Find the measure of $\angle 10$.
Choices:
62
76
104
118
Answer: 118
Problem: <image>$\odot J \cong \odot K$ and $\widehat {MN} \cong \widehat {PQ}$. Find $PQ$.
Choices:
7
17
21
24
Answer: 17
Problem: <image>$\triangle RST \cong \triangle XYZ$. Find $x$.
Choices:
10
15
21
35
Answer: 35
Problem: <image>Find $y$ so that each quadrilateral is a parallelogram.
Choices:
9
18
36
72
Answer: 9
Problem: <image>Find $JL$, if $KP = 4$ and $PM = 7$
Choices:
3
4
7
11
Answer: 11
Problem: <image>In the figure, $m∠11 = 62$ and $m∠14 = 38$. Find the measure of $\angle 10$.
Choices:
118
132
132
142
Answer: 142
Problem: <image>If $J,P,$ and $L$ are the midpoints of $\overline{KH}, \overline{HM}$ and $\overline{MK}$, respectively. Find $y$.
Choices:
3
4
6
7
Answer: 6
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
420
594.0
727.5
840
Answer: 727.5
Problem: <image>$Q$ is the incenter of $\triangle JKL$. Find $m \angle QJK$.
Choices:
26
29
35
70
Answer: 35
Problem: <image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
Choices:
60
80
100
120
Answer: 80
Problem: <image>Find $m \widehat {SU}$.
Choices:
22
23
34
68
Answer: 22
Problem: <image>If CDFG is a kite, find GF
Choices:
3
4
5
7
Answer: 5
Problem: <image>$\overline{E D}$ is tangent to $\odot F$ at point $E .$ Find $x$
Choices:
3
4
5
6
Answer: 5
Problem: <image>Find the area of the rhombus.
Choices:
22
30
60
120
Answer: 60
Problem: <image>If $m\angle ZYW = 2x - 7$ and $m \angle WYX = 2x + 5$, find $m\angle ZYW$.
Choices:
13
23
39
46
Answer: 39
Problem: <image>Find $AB$.
Choices:
5
10
20
30
Answer: 10
Problem: <image>Find $x$.
Choices:
4
6
8
10
Answer: 4
Problem: <image>What is the perimeter of the triangle?
Choices:
12
24
36
104
Answer: 36
Problem: <image>Find $m \angle X$
Choices:
62
80
108
110
Answer: 108
Problem: <image>Express the ratio of $\sin C$ as a decimal to the nearest hundredth.
Choices:
0.60
0.75
0.80
1.33
Answer: 0.60
Problem: <image>Use parallelogram ABCD to find $m\angle BDC$
Choices:
32
40.1
52
87.9
Answer: 87.9
Problem: <image>Use parallelogram PQRS to find $m\angle R$
Choices:
3
5
52
128
Answer: 52
Problem: <image>Find the perimeter of the parallelogram.
Choices:
94
96
98
100
Answer: 96
Problem: <image>Find $x$ in each figure.
Choices:
6
12
13
14
Answer: 13
Problem: <image>Find the perimeter of the figure in feet. Round to the nearest tenth, if necessary.
Choices:
20.5
21
22.4
24
Answer: 20.5
Problem: <image>Find x
Choices:
2 \sqrt { 3 }
4
4 \sqrt { 3 }
8
Answer: 4
Problem: <image>If $\overline{K H}$ is parallel to $\overline{JI}$, find the measure of  $\angle 3$
Choices:
36
60
90
120
Answer: 90
Problem: <image>If $c=8,$ find $a$
Choices:
4
4 \sqrt { 3 }
8
8 \sqrt { 3 }
Answer: 4
Problem: <image>Find the area of the shaded region. Round to the nearest tenth.
Choices:
7.1
7.7
21.9
28.9
Answer: 7.7
Problem: <image>Find x. Round the side measure to the nearest tenth.
Choices:
53.9
107.9
215.7
323.6
Answer: 107.9
Problem: <image>Find $x$. Round to the nearest tenth.
Choices:
20.1
21.2
22.3
23.4
Answer: 20.1
Problem: <image>Find the area of the blue region.
Choices:
85.8
114.2
214.2
228.4
Answer: 114.2
Problem: <image>In $\odot P$, the diameter is $9$, find the length of $\widehat {QT}$. Round to the nearest hundredth.
Choices:
8.80
10.21
17.60
20.42
Answer: 8.80
Problem: <image>Find $h$ in each triangle.
Choices:
3 \sqrt 3
6
6 \sqrt 2
6 \sqrt 3
Answer: 6 \sqrt 3
Problem: <image>Find x. Round to the nearest tenth if necessary.
Choices:
2
3
5
10
Answer: 2
Problem: <image>Find $x$ in each figure.
Choices:
14
31
45
56
Answer: 31
Problem: <image>Find the area of the shaded region. Round to the nearest tenth.
Choices:
38.5
77.0
115.5
153.9
Answer: 77.0
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
\sqrt { 7 }
7
7 \sqrt { 2 }
49
Answer: 7
Problem: <image>If $R T=16, Q P=24,$ and $S T=9,$ find $P S$
Choices:
6
9
12
13.5
Answer: 13.5
Problem: <image>Find x.
Choices:
80
85
90
95
Answer: 85
Problem: <image>Find z.
Choices:
17
\frac { 17 } { 6 } \sqrt { 253 }
\frac { 289 } { 6 }
\frac { 85 } { 6 } \sqrt { 13 }
Answer: \frac { 85 } { 6 } \sqrt { 13 }
Problem: <image>Find the measure of $\angle 2$.
Choices:
110
120
130
140
Answer: 110
Problem: <image>Find AE
Choices:
6
7
8
9
Answer: 8
Problem: <image>If $TU=14$, what it the radius of $\odot Q$.
Choices:
7
8
11
16
Answer: 7
Problem: <image>A square with side length of $9$ inches is inscribed in $\odot J$. Find the exact circumference of $\odot J$.
Choices:
8 \sqrt 2 \pi
9 \sqrt 2 \pi
12 \sqrt 2 \pi
15 \sqrt 2 \pi
Answer: 9 \sqrt 2 \pi
Problem: <image>Use rectangle LMNP, parallelogram LKMJ to solve the problem.
If $M K=6 x, K L=3 x+2 y,$ and $J N=14-x$
find $y$
Choices:
2
3
6
12
Answer: 3
Problem: <image>Circles $G, J,$ and $K$ all intersect at $L$. If $G H=10$. Find GJ
Choices:
5
10
20
25
Answer: 5
Problem: <image>Find $x$.
Choices:
4
6
8
10
Answer: 6
Problem: <image>Find $x$
Choices:
4
5
7
17
Answer: 5
Problem: <image>$H$ is the incenter of $\triangle ABC$. Find $BD$.
Choices:
\frac { 7 } { \sqrt 3 }
7
7 \sqrt 3
14
Answer: 7 \sqrt 3
Problem: <image>In $\triangle RST$, $Z$ is the centroid and $RZ=18$. Find $ZV$.
Choices:
5
9
10
18
Answer: 9
Problem: <image>In the figure, $ \overline{JM} \cong \overline{PM}$ and $ \overline{ML} \cong \overline{PL}$. If $m \angle PLJ=58$, find $m \angle PJL$.
Choices:
27.5
28.5
29.5
30.5
Answer: 30.5
Problem: <image>$P Q R S$ is a rhombus inscribed in a circle. Find $m \angle Q R P$ 
Choices:
30
45
60
90
Answer: 45
Problem: <image>Find $x$ so that $p ∥ q$.
Choices:
2.1
9
12.2
66
Answer: 9
Problem: <image>Find $x$ so that each quadrilateral is a parallelogram.
Choices:
7
14
21
35
Answer: 7
Problem: <image>Find $x$.
Choices:
2
3
4
8
Answer: 2
Problem: <image>find sin A
Choices:
\frac { 5 } { 7 }
\frac { 16 } { 21 }
\frac { 15 } { 16 }
\frac { 16 } { 15 }
Answer: \frac { 5 } { 7 }
Problem: <image>Find $m \angle 3$.
Choices:
28
29
52
123
Answer: 29
Problem: <image>Find $m \angle 1$.
Choices:
52
123
128
151
Answer: 123
Problem: <image>In the figure, $a ∥ b, c ∥ d$, and $m∠4 = 57$. Find the measure of $\angle 1$.
Choices:
57
113
123
133
Answer: 123
Problem: <image>Find x.
Choices:
11
22
22 \sqrt { 2 }
44
Answer: 22
Problem: <image>Find BD
Choices:
1.8
2.4
5
6
Answer: 1.8
Problem: <image>Find the measure of $\angle 3$ in the figure.
Choices:
10
15
20
25
Answer: 25
Problem: <image>In $\triangle ACE$, P is the centroid. $PF=6$ and $AD=15$. Find $PC$.
Choices:
6
10
12
15
Answer: 12
Problem: <image>Find $m \angle H$.
Choices:
40
44
48
54
Answer: 54
Problem: <image>Find $m \angle ABD$.
Choices:
97
103
126
154
Answer: 103
Problem: <image>In the triangle, what is the measure of $∠Z$?
Choices:
18
24
72
90
Answer: 18
Problem: <image>Find $m \angle MRP$.
Choices:
40
50
60
80
Answer: 60
Problem: <image>Find the perimeter of the triangle. Round to the nearest tenth if necessary.
Choices:
43.0
43.5
48.0
49.5
Answer: 43.5
Problem: <image>Rhombus $MNPQ$ has an area of 375 square inches. If $MP$ is 25 inches, find $NQ$.
Choices:
15
25
30
50
Answer: 30
Problem: <image>Find x. Round to the nearest degree.
Choices:
102
112
122
132
Answer: 122
Problem: <image>Which of the following statements about the figure is true?
Choices:
90 > a + b
a + b = 90
a + b > 90
a > b
Answer: a + b = 90
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
10.8
21.6
25
29.2
Answer: 29.2
Problem: <image>Find x
Choices:
40
50
130
310
Answer: 130
Problem: <image>Use a Pythagorean Triple to find x.
Choices:
32
34
36
38
Answer: 34
Problem: <image>Polygon ABCD ~ polygon AEFG, $m\angle AGF = 108$, GF = 14, AD = 12, DG = 4.5, EF = 8, and AB = 26.
Find AG
Choices:
4.5
7.5
12
20
Answer: 7.5
Problem: <image>What is the area of the sector?
Choices:
\frac { \pi } { 6 }
\frac { \pi } { 4 }
\frac { 3 \pi } { 5 }
\frac { 9 \pi } { 10 }
Answer: \frac { \pi } { 4 }
Problem: <image>Find x.
Choices:
8
4 \sqrt { 6 }
12
8 \sqrt { 3 }
Answer: 8 \sqrt { 3 }
Problem: <image>Find $CB$.
Choices:
5
12
15
20
Answer: 15
Problem: <image>In the figure, $m∠3 = 43$. Find the measure of $\angle 7$.
Choices:
43
53
127
137
Answer: 43
Problem: <image>Find $x$ and so that each quadrilateral is a parallelogram.
Choices:
4
6
8
16
Answer: 8
Problem: <image>Find x.
Choices:
6 \sqrt { 2 }
6 \sqrt { 3 }
12 \sqrt { 2 }
12 \sqrt { 3 }
Answer: 6 \sqrt { 2 }
Problem: <image>Use parallelogram ABCD to find $y$
Choices:
3
6
10
13
Answer: 6
Problem: <image>Find the measure of $\angle C$
Choices:
56
110
112
130
Answer: 110
Problem: <image>Find $x$ if $\overline{AD}$ is a median of $\triangle ABC$.
Choices:
3
5
10
15
Answer: 5
Problem: <image>Find the exact circumference of each circle.
Choices:
10
25
10 \pi
10 \pi \sqrt { 2 }
Answer: 10 \pi \sqrt { 2 }
Problem: <image>Find x. Round to the nearest tenth.
Choices:
2.6
5.2
10.4
27.2
Answer: 5.2
Problem: <image>Find the length of $XW$
Choices:
4
5
6
9
Answer: 9
Problem: <image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear to be tangent are tangent.
Choices:
4
6
9
12
Answer: 4
Problem: <image>Find $m \angle 3$.
Choices:
65
70
95
110
Answer: 95
Problem: <image>The sum of the circumference of circles $H,J,K$ is $56 \pi$ units. Find $KJ$.
Choices:
12
24
28
56
Answer: 24
Problem: <image>Find the length of $XY$
Choices:
4
5
6
9
Answer: 9
Problem: <image>$m \widehat{J H}=114$ Find $m\angle 2$
Choices:
23
33
57
114
Answer: 57
Problem: <image>If $A B=60$ and $D E=48,$ find $C F$
Choices:
12
18
24
30
Answer: 18
Problem: <image>Find $y$.
Choices:
6
8
10
20
Answer: 8
Problem: <image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear
to be tangent are tangent.
Choices:
8
16
24
32
Answer: 8
Problem: <image>Find the measure of the altitude drawn to the hypotenuse.
Choices:
\sqrt { 2 }
\sqrt { 6.5 }
\sqrt { 13 }
\sqrt { 26 }
Answer: \sqrt { 26 }
Problem: <image>Find y.
Choices:
6
7
9
12
Answer: 6
Problem: <image>Find the measure of the altitude drawn to the hypotenuse.
Choices:
2 \sqrt { 3 }
2 \sqrt { 6 }
2 \sqrt { 6 }
4 \sqrt { 3 }
Answer: 2 \sqrt { 3 }
Problem: <image>$m∠11 = 4x$, $m∠12 = 2x -6 $. Find the measure of $\angle 11$.
Choices:
116
118
120
124
Answer: 124
Problem: <image>The area $A$ of the shaded region is given. Find $x$. $A = 94$ in$^2$ .
Choices:
5.5
27.5
55.0
110.0
Answer: 55.0
Problem: <image>Find $m \angle C G D$
Choices:
30
60
150
210
Answer: 150
Problem: <image>Find the area of the quadrilateral.
Choices:
168
192
240
288
Answer: 240
Problem: <image>In the figure, $m∠2= 110$ and $m ∠ 12 = 55$. Find the measure of $∠2$.
Choices:
55
70
80
110
Answer: 70
Problem: <image>Find $y$ so that the quadrilateral is a parallelogram.
Choices:
6
20
22
42
Answer: 22
Problem: <image>Find x
Choices:
24
32
40
8 \sqrt { 41 }
Answer: 8 \sqrt { 41 }
Problem: <image>Find the area of the figure to the nearest tenth.
Choices:
80.6
87.5
94.4
112.6
Answer: 87.5
Problem: <image>What is the ratio of the measure of $\angle A C B$ to the measure of $\angle A O B ?$
Choices:
0.5
1
2
not enough information
Answer: 0.5
Problem: <image>Find $x$ so that the quadrilateral is a parallelogram
Choices:
11
14
77
98
Answer: 11
Problem: <image>Find x
Choices:
35
90
100
120
Answer: 35
Problem: <image>find $cosS$
Choices:
0.2
0.4
0.6
0.8
Answer: 0.8
Problem: <image>Find $m \angle 4$.
Choices:
55
63
118
125
Answer: 125
Problem: <image>In the figure, $m∠11 = 62$ and $m∠14 = 38$. Find the measure of $\angle 8$.
Choices:
38
62
118
142
Answer: 62
Problem: <image>Refer to the figure at the right. Find the value of $x$ if $ p \parallel q $.
Choices:
27
45
60
75
Answer: 45
Problem: <image>WXYZ is a kite. If $m\angle WXY = 120$, $m\angle WZY = 4x$, and $m\angle ZWX = 10x$, find $m\angle ZYX$.
Choices:
24
40
60
100
Answer: 100
Problem: <image>Find x.
Choices:
3
4
6
12
Answer: 6
Problem: <image>Find the area of the triangle. Round to the nearest tenth if necessary.
Choices:
180
240
360
480
Answer: 240
Problem: <image>$P$ is the incenter of $\angle XYZ$. Find $m \angle LZP$.
Choices:
20
27
31
32
Answer: 32
Problem: <image>Find x
Choices:
10
11
\frac { 56 } { 5 }
12
Answer: \frac { 56 } { 5 }
Problem: <image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
10
11
12
13
Answer: 13
Problem: <image>Find the measure of $m\angle 3$. Assume that segments that appear
tangent are tangent.
Choices:
12
20
26
28
Answer: 26
Problem: <image>In $\odot F$, $GK=14$ and $m \widehat{GHK}=142$. Find $JK$.
Choices:
7
8
14
16
Answer: 7
Problem: <image>$ABCD \sim QSRP$. Find $y$.
Choices:
13
32
34
39
Answer: 32
Problem: <image>Find x.
Choices:
8
9
10
11
Answer: 10
Problem: <image>Find the area of $▱ TRVW$.
Choices:
108
108 \sqrt 2
108 \sqrt 3
216
Answer: 108 \sqrt 3
Problem: <image>Find $CP$.
Choices:
4
8
10
12
Answer: 8
Problem: <image>If the polygon shown is regular, what is $m\angle ABC$
Choices:
140
144
162
180
Answer: 140
Problem: <image>In $\odot A, m \angle E A D=42$. Find $m \widehat{C B E}$
Choices:
90
180
270
360
Answer: 180
Problem: <image>Find $m \widehat {RT}$.
Choices:
54
63
108
126
Answer: 126
Problem: <image>Find $m \angle B$.
Choices:
44
89
92
98
Answer: 92
Problem: <image>Find $x$.
Choices:
8
11.3
13.9
16
Answer: 13.9
Problem: <image>In $\odot X, A B=30, C D=30,$ and $m \widehat{C Z}=40$
Find MB
Choices:
10
15
20
30
Answer: 15
Problem: <image>Find x
Choices:
6
7
8
9
Answer: 6
Problem: <image>Find the perimeter of the figure in feet. Round to the nearest tenth, if necessary.
Choices:
20
28
36
44
Answer: 28
Problem: <image>Find y
Choices:
\frac { 3 } { 5 }
\frac { 5 } { 3 }
\frac { 5 } { \sqrt { 3 } }
5
Answer: \frac { 5 } { 3 }
Problem: <image>In $\triangle P Q R, R S=3$ and $Q S=14 .$ Find $P S$
Choices:
\sqrt { 14 }
\sqrt { 42 }
\sqrt { 47 }
\sqrt { 205 }
Answer: \sqrt { 42 }
Problem: <image>Find x
Choices:
2 \sqrt { 3 }
2 \sqrt { 6 }
4 \sqrt { 3 }
4 \sqrt { 6 }
Answer: 2 \sqrt { 6 }
Problem: <image>$\overline{XY}$ and $\overline{XZ}$ are midsegments of $\triangle RST$. Find $XZ$.
Choices:
5
6.5
7
13
Answer: 6.5
Problem: <image>The height of a triangle is 5 centimeters more than its base. The area of the triangle is 52 square centimeters. Find the height.
Choices:
10.1
13
14.9
18
Answer: 13
Problem: <image>Find the ratio of the area of the circle to the area of the square.
Choices:
\frac { \pi } { 4 }
\frac { \pi } { 2 }
\frac { 3 \pi } { 4 }
\pi
Answer: \frac { \pi } { 4 }
Problem: <image>In $\odot X, A B=30, C D=30,$ and $m \widehat{C Z}=40$
Find CN
Choices:
10
15
20
30
Answer: 15
Problem: <image>If $J L=27, B L=9,$ and $J K=18,$ find $J A$.
Choices:
9
12
13.5
18
Answer: 12
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 $m\widehat{W X}$
Choices:
48
52
90
180
Answer: 52
Problem: <image>If $WZ=25.3$, $YZ=22.4$, $WZ=25.3$, find $XY$.
Choices:
14.9
21
22.4
25.3
Answer: 22.4
Problem: <image>$a=8, b=15,$ and $c=17$ find $tanB$
Choices:
1.23
1.67
1.88
2.43
Answer: 1.88
Problem: <image>Use parallelogram NQRM to find QR
Choices:
13
14
15
16
Answer: 15
Problem: <image>Find $m\angle P$
Choices:
30
60
120
150
Answer: 120
Problem: <image>Find $x$.
Choices:
40
55
65
75
Answer: 75
Problem: <image>Find $x$. Round to the nearest tenth.
Choices:
13.4
31.1
44.0
46
Answer: 44.0
Problem: <image>Find x. Assume that any segment that appears to be tangent is tangent.
Choices:
8
25
40
90
Answer: 8
Problem: <image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
Choices:
14
20
28
36
Answer: 28
Problem: <image>Find $E H$ if $\triangle A B C \sim \triangle D E F, \overline{B G}$ is an altitude of $\triangle A B C, \overline{E H}$ is an altitude of $\triangle D E F, B G=3$, $B F=4, F C=2,$ and $C E=1$
Choices:
1
\frac { 3 } { 2 }
2
3
Answer: \frac { 3 } { 2 }
Problem: <image>Find $h$ in the triangle.
Choices:
3 \sqrt 2
3 \sqrt 3
6
6 \sqrt 2
Answer: 3 \sqrt 2
Problem: <image>Each pair of polygons is similar. Find x
Choices:
5
8
10
15
Answer: 10
Problem: <image>Each pair of polygons is similar. Find ED
Choices:
5
6.25
10
95
Answer: 5
Problem: <image>If $QV=8$, what it the diameter of $\odot Q$.
Choices:
7
8
11
16
Answer: 16
Problem: <image>Find y.
Choices:
3
3 \sqrt { 3 }
9
6 \sqrt { 3 }
Answer: 3
Problem: <image>In $\triangle CDF$, $K$ is the centroid and $DK=16$. Find $KH$.
Choices:
8
9
12
18
Answer: 8
Problem: <image>Find $m\angle C$
Choices:
78
103
105
120
Answer: 103
Problem: <image>Rhombus $RSTU$ has an area of 675 square meters. Find $SU$.
Choices:
22.5
25.98
30
45
Answer: 45
Problem: <image>Find the measure of $\angle 2$ in the figure.
Choices:
50
52
56
60
Answer: 52
Problem: <image>Find $x$.
Choices:
2
4
6
8
Answer: 2
Problem: <image>Find $m\angle M$
Choices:
62
71
96
106
Answer: 96
Problem: <image>Each pair of polygons is similar. Find x
Choices:
8
20
27
820
Answer: 27
Problem: <image>Find y.
Choices:
1.0
1.5
2.0
2.5
Answer: 1.5
Problem: <image>What is the perimeter of the triangle shown below? Round to the nearest tenth.
Choices:
222.6
300.6
325.6
377.6
Answer: 325.6
Problem: <image>Find the value of $d$ in the parallelogram
Choices:
42
56
84
92
Answer: 42
Problem: <image>In A, the radius is $14$ and $CD = 22$. Find $EB$. Round to the nearest hundredth.
Choices:
3.72
5.34
8.66
16.97
Answer: 5.34
Problem: <image>Find x
Choices:
20
25
45
55
Answer: 45
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
45.7
70.9
83.4
96
Answer: 70.9
Problem: <image>In the figure, $ \triangle ABC$ is isosceles, $ \triangle DCE$ is equilateral, and $ \triangle FCG$ is isosceles. Find the measures of the $\angle 4$ at vertex $C$.
Choices:
15
16
17
18
Answer: 17
Problem: <image>Find the area of the triangle. Round to the nearest tenth if necessary.
Choices:
6
12
13.2
24
Answer: 6
Problem: <image>Find $\angle 6$.
Choices:
28.5
56
57
123
Answer: 123
Problem: <image>Circle $A$ has diameters $\overline{D F}$ and $\overline{P G}$
If $A G=12,$ find $L A$
Choices:
12
24
36
48
Answer: 12
Problem: <image>If QRST is a kite, find $m\angle RST$.
Choices:
39
68
78
136
Answer: 78
Problem: <image>Find $m \angle 2$.
Choices:
73
82
107
146
Answer: 73
Problem: <image>Find $R S$ if $P Q=12, Q R=2,$ and $T S=3$
Choices:
2
3
4
12
Answer: 4
Problem: <image>Polygon $BCDE$ $\cong$ polygon $RSTU$. Find $y$.
Choices:
3
10
20
42
Answer: 42
Problem: <image>Find $m \angle R C L$
Choices:
43
137
223
247
Answer: 137
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
204
289
408
916
Answer: 408
Problem: <image>Find the perimeter of the triangle. Round to the nearest tenth if necessary.
Choices:
62
76
80
91.3
Answer: 80
Problem: <image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
Choices:
40
46
52
56
Answer: 46
Problem: <image>In the figure, $m∠3 = 110$ and $m ∠ 12 = 55$. Find the measure of $∠15$.
Choices:
50
55
65
70
Answer: 55
Problem: <image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
3.8
4
5
7
Answer: 3.8
Problem: <image>Refer to trapezoid $CDFG$ with median $\overline{HE}$. Find $GF$.
Choices:
30
32
38
46
Answer: 30
Problem: <image>Find $m \angle G$.
Choices:
93
97
106
116
Answer: 93
Problem: <image>Express the ratio of $\cos M$ as a decimal to the nearest hundredth.
Choices:
0.38
0.42
0.92
2.40
Answer: 0.92
Problem: <image>Find x
Choices:
3
4
5
3 \sqrt { 3 }
Answer: 3
Problem: <image>If $m \angle 1=3 x+40$, $m \angle 2=2(y-10)$, and $m \angle 3=2 x+70$, find $y$.
Choices:
55
60
65
75
Answer: 75
Problem: <image>Use parallelogram WXYZ to find $WZ$
Choices:
4
24
28
52
Answer: 24
Problem: <image>Find $m\angle E$
Choices:
97
102
107
122
Answer: 102
Problem: <image>Find the measure of $ \angle 6 $ if $l  \parallel m$  and $m \angle 1 = 105$.
Choices:
75
85
95
105
Answer: 105
Problem: <image>Find the scale factor from $W$ to $W'$.
Choices:
2
4.5
9
18
Answer: 2
Problem: <image>Find $AC$ if $AC=x-3$, $BE=20, AB=16,$ and $CD=x+5$
Choices:
32
35
36
40
Answer: 32
Problem: <image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
48
143
286
572
Answer: 286
Problem: <image>Find x
Choices:
6
2 \sqrt { 21 }
10
2 \sqrt { 29 }
Answer: 2 \sqrt { 21 }
Problem: <image>Find $BE$.
Choices:
2.1
2.5
3.1
3.5
Answer: 2.1
Problem: <image>$H$ is the incenter of $\triangle ABC$. Find $m \angle DHG$.
Choices:
60
100
120
150
Answer: 120
Problem: <image>Find the area of the shaded region. Round to the nearest tenth if necessary.
Choices:
20.7
45.7
50
70.7
Answer: 45.7
Problem: <image>Find the area of the regular polygon. Round to the nearest tenth.
Choices:
11.9
29.7
59.4
118.9
Answer: 59.4
Problem: <image>Find x.
Choices:
10
10 \sqrt { 2 }
20
40
Answer: 40
Problem: <image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
35
38.4
70
140
Answer: 70
Problem: <image>Find $m \angle 1$.
Choices:
23
55
63
125
Answer: 55
Problem: <image>Find x.
Choices:
9
9 \sqrt { 2 }
9 \sqrt { 3 }
18 \sqrt { 2 }
Answer: 9 \sqrt { 2 }
Problem: <image>$\overline{QS}$ is a diameter of $\odot V$. Find $m \widehat {QRT}$.
Choices:
105
147
255
285
Answer: 255
Problem: <image>Find the variable of $x$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
6.1
6.6
7.1
7.6
Answer: 7.1
Problem: <image>Find the measure of $\angle 2$ if $m∠DGF = 53$ and $m∠AGC = 40$.
Choices:
40
43
50
53
Answer: 50
Problem: <image>$m∠19 = 100 + 20x$, $m∠20 = 20x $. Find the measure of $\angle 19$.
Choices:
100
120
140
160
Answer: 140
Problem: <image>If KLMN is a parallelogram, find the value of the
indicated variable. Find y
Choices:
11
17
26
28
Answer: 11
Problem: <image>$m \widehat{J H}=114$ Find $m\angle 3$
Choices:
33
43
57
67
Answer: 33
Problem: <image>Find the exact circumference of each circle.
Choices:
4 \pi
4 \sqrt { 2 } \pi
8 \pi
16 \pi
Answer: 8 \pi
Problem: <image>Find the area of the regular polygon figure. Round to the nearest tenth.
Choices:
27.7
55.4
166.3
332.6
Answer: 166.3
Problem: <image>Find x.
Choices:
8
2 \sqrt { 34 }
10 \sqrt { 2 }
2 \sqrt { 66 }
Answer: 2 \sqrt { 66 }
Problem: <image>For trapezoid QRTU, V and S are midpoints of the legs. If QR = 12 and UT = 22, find VS.
Choices:
5
12
17
22
Answer: 17