Topic 8: Quadrilaterals and Other Polygons

What is the value of x?

What must m∠XWZ be for WXYZ to be a parallelogram?

• 62

• 118

• 38

• not enough information

What must the values of m and n be for WXYZ to be a parallelogram?

• m = 4, n = 5

• m = 2, n = 7

• m = 18, n = 13

• not enough information

What is the measure of an interior angle of a regular 15-gon?

• $135\degree$

• $54\degree$

• $156\degree$

• $24\degree$

A polygon has ____ sides when each exterior angle measures 22.5˚.

• 12

• 18

• 16

• 14

Which statements are true about squares? Select all that apply.

• Diagonals are congruent to sides.

• Diagonals are perpendicular.

• Consecutive angles are supplementary.

• Diagonals bisect angles.

Parallelogram QRST is shown. What is m∠RTQ?

Parallelogram QRST is shown. If SX = 2x – 1, RX = 3x – 3, and RT = 5x + 2. What is QS?

Which statements are true about rectangle ABCD? Select all that apply.

• $\overline{BD}\perp\ \overline{AC}$

• $\Delta BWA\ \cong\ \Delta CWD$

• $\angle ABD\ \cong\ \angle CBD$

• BW = AW

Give the most precise classification for each figure.



• quadrilateral

• square

• rectangle

• parallelogram