images images listlengths 1 1 | problem stringlengths 30 291 | answer stringclasses 668 values |
|---|---|---|
<image>Find $x$ so that each quadrilateral is a parallelogram.
Choices:
6
12
24
30 | 6 | |
<image>Find the area of the figure. Round to the nearest tenth.
Choices:
12
16
18
24 | 12 | |
<image>Find x
Choices:
1.5
2.0
8.0
8.5 | 8.5 | |
<image>Find $x$.
Choices:
107
117
118
135 | 107 | |
<image>Use the Pythagorean Theorem to find the length of the hypotenuse of each right triangle.
Choices:
\sqrt { 7 }
3
4
5 | 5 | |
<image>Find $m\angle Q$
Choices:
50
58
60
121 | 121 | |
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
86.6
129.9
150.0
259.8 | 259.8 | |
<image>For isosceles trapezoid $X Y Z W$ find $m \angle Z$
Choices:
70
90
110
250 | 110 | |
<image>If $\angle R S T$ is a right angle, $\overline{SU} \perp \overline{RT}$, $\overline{UV} \perp \overline{ST},$ and $m \angle RT S=47,$ find $m \angle SUV$
Choices:
47
53
55
66 | 47 | |
<image>Find x. Round to the nearest tenth.
Choices:
4.6
8.0
9.2
17.2 | 9.2 | |
<image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear
to be tangent are tangent.
Choices:
2
3
4.7
7 | 4.7 | |
<image>Find x.
Choices:
3
4
5
6 | 6 | |
<image>Find y in the parallelogram
Choices:
6
12
19
115 | 6 | |
<image>Find $m\angle 3$.
Choices:
59
81
99
102 | 99 | |
<image>Find x.
Choices:
\frac { 39 \sqrt { 2 } } { 4 }
\frac { 39 \sqrt { 2 } } { 2 }
\frac { 39 \sqrt { 3 } } { 2 }
39 | \frac { 39 \sqrt { 2 } } { 2 } | |
<image>If $m \angle AED=95$ and $m \widehat{AD}=120$, what is $m \angle BAC$?
Choices:
30
35
40
60 | 35 | |
<image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
3
7
18
24 | 18 | |
<image>Find x
Choices:
18
27
36
72 | 18 | |
<image>$ \triangle WXY $ and $ \triangle XYZ $ are isosceles and $m∠XYZ = 128$. Find the measure of $∠WXY$.
Choices:
72
74
76
78 | 76 | |
<image>Polygons $FGHJK$ and $VWXUZ$ are similar regular pentagons. Find the scale factor.
Choices:
1:2
2:3
3:2
2:1 | 2:3 | |
<image>Find x
Choices:
2 \sqrt { 6 }
4 \sqrt { 6 }
\frac { 32 } { 3 }
\frac { 50 } { 3 } | \frac { 50 } { 3 } | |
<image>Find $x$.
Choices:
5
7
8
26 | 7 | |
<image>The triangle is inscribed into the circle. Find the exact circumference of the circle.
Choices:
6 \pi
6 \sqrt 2 \pi
12 \pi
12 \sqrt 2 \pi | 12 \pi | |
<image>Find y.
Choices:
5
5 \sqrt { 2 }
10
10 \sqrt { 2 } | 10 | |
<image>Find the value of the variable $y$ in the figure.
Choices:
12
24
60
120 | 12 | |
<image>Find $m\angle D$
Choices:
30
60
90
120 | 60 | |
<image>In $\triangle PQR$, $ZQ=3a-11$, $ZP=a+5$, $PY=2 c-1$, $YR=4 c-11$, $m \angle PRZ=4 b-17$, $m \angle ZRQ=3 b-4$, $m \angle QYR=7 b+6$, and $m \angle PXR=2 a+10$. Find $PR$ if $\overline{QY}$ is a median.
Choices:
14
16
18
20 | 18 | |
<image>Quadrilateral $WXYZ$ is a rectangle. Find the measure of $\angle 12$ if $m∠1 = 30$.
Choices:
60
90
120
150 | 120 | |
<image>Find z
Choices:
2 \sqrt { 6 }
\sqrt { 33 }
2 \sqrt { 11 }
24 | 2 \sqrt { 6 } | |
<image>Triangle $ABC$ is similar to triangle $DEF$. Find the scale factor.
Choices:
\frac { 1 } { 2 }
\frac { 1 } { 1 }
\frac { 2 } { 1 }
\frac { 4 } { 1 } | \frac { 2 } { 1 } | |
<image>Find x.
Choices:
\sqrt { 7 }
\sqrt { 10 }
\sqrt { 11 }
\sqrt { 13 } | \sqrt { 11 } | |
<image>In $\odot G, m \angle A G B=30$ and $\overline{C G} \perp \overline{G D}$.
Find $m \widehat{C D F}$
Choices:
30
90
120
150 | 120 | |
<image>$\triangle PQS \cong \triangle RQS$. Find $y$.
Choices:
8
12
16
20 | 8 | |
<image>Find the area of the regular polygon. Round to the nearest tenth.
Choices:
26.5
106.1
212.1
424.2 | 212.1 | |
<image>$m∠4 = 32$. Find the measure of $\angle 3$.
Choices:
32
58
90
180 | 90 | |
<image>QRST is an isosceles trapezoid with median $\overline{X Y}$
Find $T S$ if $Q R=22$ and $X Y=15$
Choices:
2
4
8
16 | 8 | |
<image>Find the area of the figure. Round to the nearest tenth.
Choices:
75.6
91.2
96
101.6 | 91.2 | |
<image>Lines $l$, $m$, and $n$ are perpendicular bisectors of $\triangle PQR$ and meet at $T$. If $TQ = 2x$, $PT = 3y - 1$, and $TR = 8$, find $y$.
Choices:
3
4
5
6 | 3 | |
<image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
702
855
1008
1710 | 855 | |
<image>Find the area of the figure. Round to the nearest tenth.
Choices:
78
364
374
484 | 374 | |
<image>In the figure, $a ∥ b, c ∥ d$, and $m∠4 = 57$. Find the measure of $\angle 5$.
Choices:
57
113
123
133 | 123 | |
<image>$\triangle ABC$ is an isosceles triangle with base $BC$. What is the perimeter of the triangle?
Choices:
5
12
14
40 | 40 | |
<image>Find $m \angle 7$.
Choices:
30
37
49
53 | 53 | |
<image>In parallelogram $ABCD$, $\overline{BD}$ and $\overline{AC}$ intersect at $E$. If $AE = 9$, $BE = 3x - 7$, and $DE = x + 5$, find $x$.
Choices:
4
5
6
7 | 6 | |
<image>Find z.
Choices:
20
20 \sqrt { 3 }
40
20 \sqrt { 5 } | 20 \sqrt { 5 } | |
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
Choices:
134
152
170
202 | 170 | |
<image>Find the area of the shaded sector. Round to the nearest tenth, if necessary.
Choices:
15.3
52.6
82.4
284.0 | 284.0 | |
<image>Find z
Choices:
2 \sqrt { 6 }
6
4 \sqrt { 3 }
12 | 2 \sqrt { 6 } | |
<image>The diameters of $\odot A, \odot B,$ and $\odot C$ are $8$ inches, $18$ inches, and $11$ inches, respectively. Find $FG$.
Choices:
7
8
14
16 | 14 | |
<image>Find $x$.
Choices:
3
6
13
19 | 13 | |
<image>If $m \angle AFB = 8x - 6$ and $m \angle BFC = 14x + 8$, find the value of $x$ so that $\angle AFC$ is a right angle.
Choices:
2
3
4
5 | 4 | |
<image>Find $x$ in the figure.
Choices:
14
15
16
17 | 16 | |
<image>If $A N$ is 5 meters long, find the exact circumference of $\odot N .$
Choices:
\pi
10
5 \pi
10 \pi | 10 \pi | |
<image>For the pair of similar figures, use the given areas to find the scale factor from the blue to the green figure.
Choices:
\frac { 1 } { 3 }
\frac { 1 } { \sqrt { 3 } }
\frac { \sqrt { 3 } } { 1 }
\frac { 3 } { 1 } | \frac { 1 } { \sqrt { 3 } } | |
<image>In the figure, $m∠11 = 62$ and $m∠14 = 38$. Find the measure of $\angle 6$.
Choices:
38
62
118
142 | 38 | |
<image>Find $m\angle U$
Choices:
60
68
76
136 | 60 | |
<image>Find y.
Choices:
8 \sqrt { 3 }
12 \sqrt { 3 }
24
16 \sqrt { 3 } | 8 \sqrt { 3 } | |
<image>Find $z$ in the figure.
Choices:
132
138
142
148 | 142 | |
<image>What is the area of rectangle $WXYZ$?
Choices:
18.6
20.4
21.2
22.8 | 18.6 | |
<image>Find y
Choices:
21.4
24.1
32.6
43.1 | 32.6 | |
<image>If $WXYZ$ is a kite, find $ZY$.
Choices:
\sqrt { 10 }
8
16
8 \sqrt { 10 } | 8 \sqrt { 10 } | |
<image>$\triangle JKL \sim \triangle WYZ$. Find $y$.
Choices:
44
56
65
71 | 65 | |
<image>If $\overline{B E} \cong \overline{E D}$ and $m \widehat{E D}=120,$ find $m \widehat{B E}$
Choices:
120
135
160
175 | 120 | |
<image>Each pair of polygons is similar. Find CD
Choices:
3.333
\frac { 10 } { 3 }
4
10 | \frac { 10 } { 3 } | |
<image>The square is circumscribed to the circle. Find the exact circumference of the circle.
Choices:
12.5 \pi
25 \pi
30 \pi
50 \pi | 25 \pi | |
<image>Find $\angle 6$
Choices:
110
140
150
220 | 110 | |
<image>Find x. Round the angle measure to the nearest degree.
Choices:
12
15
18
21 | 15 | |
<image>In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 3$.
Choices:
104
106
114
116 | 116 | |
<image>Find $m\angle T$
Choices:
44
46
54
134 | 46 | |
<image>Find the measure of $\angle 3$ if $m \angle D G F=53$ and $m \angle A G C=40$.
Choices:
37
40
50
53 | 50 | |
<image>Find $m \angle S$.
Choices:
24
48
66
78 | 66 | |
<image>Use parallelogram PQRS to find $QR$
Choices:
3
5
15
53 | 3 | |
<image>Find $\sin x$
Choices:
\frac { \sqrt { 2 } } { 10 }
\frac { \sqrt { 2 } } { 5 }
\frac { \sqrt { 5 } } { 5 }
\frac { 2 \sqrt { 2 } } { 5 } | \frac { 2 \sqrt { 2 } } { 5 } | |
<image>Find x.
Choices:
\frac { \sqrt { 5 } } { 10 }
\frac { \sqrt { 10 } } { 10 }
\frac { \sqrt { 5 } } { 5 }
\frac { \sqrt { 10 } } { 5 } | \frac { \sqrt { 10 } } { 5 } | |
<image>Find the area of the shaded sector. Round to the nearest tenth.
Choices:
6.7
8.1
8.3
10.0 | 10.0 | |
<image>Find x.
Choices:
7
7 \sqrt { 2 }
7 \sqrt { 3 }
14 | 7 \sqrt { 2 } | |
<image>Refer to the figure at the right. Find z.
Choices:
8.80
9.58
11.09
13.11 | 11.09 | |
<image>Find $m \angle 5$.
Choices:
53
75
85
88 | 85 | |
<image>In $\odot G, m \angle A G B=30$ and $\overline{C G} \perp \overline{G D}$.
Find $m \widehat{B C D}$
Choices:
30
45
120
150 | 150 | |
<image>For the pair of similar figures, use the given areas to find the scale factor from the blue to the green figure.
Choices:
\frac { 9 } { 25 }
\frac { 3 } { 5 }
\frac { 5 } { 3 }
\frac { 25 } { 9 } | \frac { 5 } { 3 } | |
<image>Find y. Round to the nearest tenth, if necessary.
Choices:
8.6
9
12.25
24 | 8.6 | |
<image>Find x. Assume that any segment that appears to be tangent is tangent.
Choices:
9
45
60
105 | 9 | |
<image>Find the area of the kite.
Choices:
168
177
178.5
357 | 178.5 | |
<image>In $\triangle EDF$, $T$ is the centroid and $FT=12$. Find $TQ$.
Choices:
3
6
12
24 | 6 | |
<image>Find $m \angle 2$.
Choices:
15
55
70
75 | 75 | |
<image>Find x
Choices:
7
9
12
15 | 7 | |
<image>For trapezoid $Q R S T, A$ and $B$ are midpoints of the legs. Find $m \angle Q$
Choices:
45
60
120
135 | 60 | |
<image>The diameters of $\odot A, \odot B,$ and $\odot C$ are 10, 30 and 10 units, respectively. Find AZ if $\overline{A Z} \cong \overline{C W}$ and $C W=2$
Choices:
2
4
10
30 | 2 | |
<image>In $\odot P$, $RT=11$, find $m \widehat {QRS}$. Round to the nearest hundredth.
Choices:
15.55
19.01
31.10
38.01 | 19.01 | |
<image>Find $y$ so that the quadrilateral is a parallelogram.
Choices:
8
9
25
96 | 8 | |
<image>In the figure, $m∠1 = 50$ and $m∠3 = 60$. Find the measure of $\angle 5$.
Choices:
50
60
70
80 | 60 | |
<image>Find $m \angle 1$.
Choices:
78
115
120
128 | 128 | |
<image>Find $m \angle AEB$.
Choices:
71
109
142
143 | 109 | |
<image>If $m \widehat{B C}=30$ and $\overline{A B} \cong \widehat{C D},$ find $m \widehat{A B}$
Choices:
75
90
105
120 | 75 | |
<image>Equilateral pentagon $P Q R S T$ is inscribed in $\odot U$.
Find $m \angle P T S$
Choices:
36
72
120
144 | 144 | |
<image>$a=8, b=15,$ and $c=17$ find $tanA$
Choices:
0.33
0.47
0.53
0.57 | 0.53 | |
<image>Find $m \angle JKL$.
Choices:
30
50
60
80 | 60 | |
<image>Find y.
Choices:
6
3 \sqrt { 5 }
9
3 \sqrt { 13 } | 3 \sqrt { 13 } | |
<image>In $\triangle ABC, \overline{BD}$ is a median. If $AD=3x+5$ and $CD=5x-1,$ find $AC$.
Choices:
6
12
14
28 | 28 | |
<image>Find PQ
Choices:
12
15
16
18 | 15 |
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