images
images listlengths
1
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stringlengths
13
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answer
stringlengths
1
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problem_type_graph
stringclasses
9 values
problem_type_goal
stringclasses
4 values
<image>Find $m \angle P$.
35
Circle
Angle
<image>Find cosA
\frac { 5 \sqrt { 26 } } { 26 }
Triangle
Ratio
<image>Find $m∠1$.
67
Line
Angle
<image>Quadrilateral ABCD is a rhombus. If $m\angle BCD = 120$, find $m\angle DAC$.
60
Rhombus
Angle
<image>Find $YZ$ of isosceles $\triangle XYZ$
7
Triangle
Length
<image>If QRST is a parallelogram, find $y$
9
Parallelogram
Angle
<image>Find x. Round to the nearest tenth.
9.9
Triangle
Length
<image>Find $LN$.
29
Triangle
Length
<image>Find y
16
Triangle
Length
<image>Find the area of the figure.
150
Rectangle
Area
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
420
Parallelogram
Area
<image>Find $x$.
8
Circle
Length
<image>Find $y$ in the given parallelogram
2
Parallelogram
Length
<image>Find x.
13 \sqrt { 2 }
Triangle
Length
<image>Find $m \widehat {RT}$.
126
Circle
Angle
<image>For trapezoid QRST, M and P are midpoints of the legs. If TS = 2x + 2, QR = 5x + 3, and PM = 13, find TS.
8
Trapezoid
Length
<image>$\triangle K L N$ and $\triangle L M N$ are isosceles and $m \angle J K N=130$. Find the measure of $\angle LKN$.
81
Triangle
Angle
<image>Find $\angle 10$
50
Circle
Angle
<image>Find x.
12
Triangle
Length
<image>Use parallelogram JKLM to find $m \angle JML$ if $J K=2 b+3$ and $J M=3 a$.
80
Parallelogram
Angle
<image>Find x. Round to the nearest tenth.
23.2
Triangle
Length
<image>In the right triangle, what is $A B$ if $B C=6 ?$
4 \sqrt { 3 }
Triangle
Length
<image>Find $XZ$ of isosceles $\triangle XYZ$
12
Triangle
Length
<image>Find y.
10
Triangle
Length
<image>Find $y$.
15.6
Triangle
Length
<image>isosceles trapezoid TWYZ with $\angle Z \cong \angle Y, m \angle Z=30 x$, $\angle T \cong \angle W,$ and $m \angle T=20 x$, find $\angle W$
72
Trapezoid
Angle
<image>Find $FH$.
12
Triangle
Length
<image>Find y.
1.5
Line
Length
<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 $AB$ if $AR=3x+6$ and $RB = 5x - 14 $.
72
Triangle
Length
<image>Use parallelogram JKLM to find b if $J K=2 b+3$ and $J M=3 a$.
21
Parallelogram
Length
<image>In the figure at the right, which cannot be true if $ m \parallel l $ and $ m ∠1 = 73 $?
\angle 1 \cong \angle 4
Line
Angle
<image>Find $m \angle R C L$
137
Circle
Angle
<image>Find x. Assume that any segment that appears to be tangent is tangent.
5
Circle
Angle
<image>Find the value of x.
130
Circle
Angle
<image>Find the perimeter of $\triangle D E F$ if $\triangle D E F \sim \triangle A B C$
24
Triangle
Length
<image>Find x. Round the side measure to the nearest tenth.
22.8
Triangle
Length
<image>Find $m \angle C$.
49
Circle
Angle
<image>Find $m \angle JKL$.
60
Triangle
Angle
<image>Circle $O$ has a radius of $10, A B=10$ and $m \overrightarrow{A B}=60 .$ Find $m\widehat{O X}$
5 \sqrt { 3 }
Circle
Length
<image>Find $x$.
45
Line
Angle
<image>Find $m\angle Q$
60
Trapezoid
Angle
<image>Which of the following statements about the figure is true?
a + b = 90
Line
Angle
<image>Find $x$.
18
Triangle
Angle
<image>Find the value of x.
95
Circle
Angle
<image>Find x.
6
Triangle
Length
<image>Find $m \angle 3$.
95
Line
Angle
<image>In the figure, $m∠3 = 110$ and $m ∠ 12 = 55$. Find the measure of $∠15$.
55
Line
Angle
<image>Find $m \angle F$.
30
Circle
Angle
<image>Find $m\angle J$
150
Other
Angle
<image>Find x.
12
Triangle
Length
<image>$\overline{AD}$ and $\overline{CG}$ are diameters of $\odot B$. Find $m \widehat {ACF}$.
270
Circle
Angle
<image>Find $x$ if $AC=x-3$, $BE=20, AB=16,$ and $CD=x+5$
35
Triangle
Length
<image>Find x
29.1
Triangle
Length
<image>Find DE
6
Triangle
Length
<image>Find x. Round to the nearest tenth.
5.2
Triangle
Length
<image>If $R T=16, Q P=24,$ and $S T=9,$ find $P S$
13.5
Triangle
Length
<image>Find $m \angle T$.
135
Circle
Angle
<image>Find $x$ in the figure.
16
Line
Angle
<image>Find $x$.
18
Triangle
Length
<image>Triangle $JKL$ is circumscribed about $\odot R$. Find $x$.
4
Circle
Length
<image>Find the area of the shaded region. Round to the nearest tenth.
7.9
Circle
Area
<image>In $\odot A, m \angle E A D=42$. Find $m \widehat{C B E}$
180
Circle
Angle
<image>Use parallelogram $ABCD$ to find the measure of $m\angle ADC$
65
Parallelogram
Angle
<image>Find x. Round to the nearest tenth, if necessary.
11
Line
Length
<image>Find the area of the kite.
10.5
Other
Area
<image>Find $y$ so that the quadrilateral is a parallelogram
5
Parallelogram
Length
<image>Find x. Assume that segments that appear to be tangent are tangent.
145
Circle
Angle
<image>Find $x$.
6
Other
Length
<image>Find the area of the figure. Round to the nearest hundredth, if necessary.
68.6
Triangle
Area
<image>In $\Delta G H J$, $H P=5 x-16$, $P J=3 x+8$, $m \angle G J N=6 y-3$, $m \angle N J H=4 y+23$ and $m \angle H M G=4 z+14$. If $\overline{HM}$ is an altitude of $∠GHJ$, find the value of $z$.
19
Triangle
Angle
<image>$\overline{AB}$ is a diameter, $AC=8$ inches, and $BC=15$ inches. Find the diameter of the circle.
17
Circle
Length
<image>Find $\angle 3$
110
Circle
Angle
<image>Find x.
3 \sqrt { 29 }
Triangle
Length
<image>ABCD is a rectangle. If $A C=9 x-1$ and $A F=2 x+7,$ find $A F$
13
Rectangle
Length
<image>Find y.
\frac { 15 } { 2 }
Triangle
Length
<image>Use parallelogram ABCD to find BC
9
Parallelogram
Length
<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 $m\widehat{W X}$
52
Circle
Angle
<image>Find $YZ$.
8
Triangle
Length
<image>In rhombus LMPQ, $m \angle Q L M=2 x^{2}-10$, $m \angle Q P M=8 x$, and $M P=10$ . Find $m \angle L P Q$
20
Parallelogram
Angle
<image>Find x
20
Triangle
Length
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
288
Parallelogram
Area
<image>Find the variable of $d$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.
16.9
Circle
Length
<image>Use the Pythagorean Theorem to find the length of the hypotenuse of each right triangle.
\sqrt { 34 }
Triangle
Length
<image>Find the area of the regular polygon. Round to the nearest tenth.
584.2
Triangle
Area
<image>In $\odot B$, $m \angle LBM = 3x$ and $m \angle LBQ = 4x + 61$. What is the measure of $\angle PBQ$?
51
Circle
Angle
<image>Find $x$ so that the quadrilateral is a parallelogram.
30
Parallelogram
Angle
<image>$m∠19 = 100 + 20x$, $m∠20 = 20x $. Find the measure of $\angle 20$.
40
Line
Angle
<image>Find x. Round the angle measure to the nearest degree.
15
Triangle
Angle
<image>If $CN=8$. Find $DN$.
8
Circle
Length
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
480
Parallelogram
Area
<image>Find x. Assume that segments that appear to be tangent are tangent.
8
Circle
Length
<image>Find $\angle1$
112
Triangle
Angle
<image>Find the circumference of $\odot S$. Round to the nearest hundredth.
40.83
Circle
Length
<image>Find $m \angle 1$.
55
Triangle
Angle
<image>Find $m \angle 1$.
65
Line
Angle
<image>Find $\angle B$ of quadrilateral ABCD
90
Trapezoid
Angle
<image>Find $BD$.
5
Triangle
Length
<image>ABCD is a rhombus. If EB = 9, AB = 12 and $m\angle ABD = 55$ . Find CE
\sqrt { 63 }
Rhombus
Length
<image>If $m \angle 2=70-4 x$ and $m \angle 5=18 x-8,$ find $m \angle 5$
28
Rectangle
Angle
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
174.4
Parallelogram
Length