Unit 7 test: Quadrilaterals and Polygons

What is the sum of the interior angle measures of a nonagon (9 sides), in degrees?

What is the measure of each interior angle of a regular 18-gon, in degrees?

Each exterior angle of a regular polygon measures $30^\circ$. How many sides does the polygon have?

In parallelogram $ABCD$, $m\angle A = (2x + 20)^\circ$ and $m\angle B = (4x - 20)^\circ$. What is $m\angle C$, in degrees?

The diagonals of parallelogram $ABCD$ meet at $E$. If $AE = 3n + 2$ and $CE = 5n - 6$, what is $AC$?

Three vertices of parallelogram $ABCD$ are $A(-1, 2)$, $B(4, 0)$ and $C(6, 5)$. What are the coordinates of $D$?

Which set of facts proves that quadrilateral $ABCD$ is a parallelogram?

In quadrilateral $ABCD$, $AB = 2x + 1$, $CD = x + 9$, $BC = 5y - 4$ and $DA = 3y + 8$. What values of $x$ and $y$ make $ABCD$ a parallelogram? Give your answer as $(x, y)$.

Classify the quadrilateral with vertices $P(0, 0)$, $Q(3, 4)$, $R(8, 4)$ and $S(5, 0)$ as precisely as possible.

In rectangle $ABCD$, the diagonals meet at $E$ and $m\angle CAB = 28^\circ$. What is $m\angle AEB$, in degrees?

The diagonals of a rhombus measure $18$ and $24$. What is its perimeter?

Is this statement always, sometimes or never true? "A rhombus is a rectangle."

The bases of a trapezoid measure $x + 6$ and $3x - 2$, and its midsegment measures $14$. How long is the longer base?

One angle of an isosceles trapezoid measures $57^\circ$. What is the measure of its largest angle, in degrees?

In kite $ABCD$, $AB = AD$ and $CB = CD$. $m\angle B = 105^\circ$, and vertex angle $\angle A$ is twice as large as vertex angle $\angle C$. What is $m\angle A$, in degrees?