images
images listlengths 1
1
| problem
stringlengths 13
234
| answer
stringlengths 1
34
| 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
|
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