Geometry Chapter 6 Quadrilaterals Review

Find the sum of the measures of the interior angles of a convex 70-gon.

The measure of each interior angle of a regular polygon is 172. Find the number of sides in the polygon.

The measure of each exterior angle of a regular polygon is 18. Find the number of sides in the polygon.

Given parallelogram ABCD with C(5, 4), find the coordinates of A if the diagonals 𝐴𝐶 and 𝐵𝐷 intersect at (2, 7).

• (-1,10)

• (8,1)

• (10,-1)

• (1,8)

MULTIPLE CHOICE Find m∠1 in parallelogram ABCD.

• 64

• 58

• 46

• 36

Determine whether this quadrilateral is a parallelogram. Justify your answer.

• Not a parallelogram

• Parallelogram by Theorem 6.9

• Parallelogram by Theorem 6.11

• Parallelogram by Theorem 6.12

A quadrilateral with two pairs of parallel sides is always a parallelogram.

• TRUE

• FALSE

The diagonals of a parallelogram are always perpendicular.

• TRUE

• FALSE

The slope of 𝐴𝐵 and 𝐶𝐷 is 3/5 and the slope of 𝐵𝐶 and 𝐴𝐷 is − 5/3 . ABCD is a parallelogram.

• TRUE

• FALSE

Refer to parallelogram ABCD. If AB = 8 cm, what is the perimeter of the parallelogram?