6.2 Parallelograms Definition: A parallelogram is a quadrilateral with both pairs of opposite sides parallel. You may abbreviate parallelogram when writing by using then the four letters in order.

Theorem 6.3 Opposite sides of a are @.

Consecutive angles in a are supplementary. Theorems 6.4 and 6.5 Opposite angles of a are @. B C A D Consecutive angles in a are supplementary.

Theorem 6.6 If a parallelogram has one right angle, it has four right angles. This would make it a rectangle or a square!

Examples In KLMN, KL= 23, KN= 15, and mK= 105. Find LM and MN. Find mM. Find mL. K 23 L 105 75 15 15 105 N M 23

Theorem 6.7 bisect The diagonals of a each other.

In PQRS if PR = 32 find PL. P Q L S R Answer: PL = 16

(don’t forget to match the congruent parts!) Theorem 6.8 A diagonal of a parallelogram separates it into two congruent triangles. B U D S BUS  DSU (don’t forget to match the congruent parts!)

Try these page 328 #4-12 even ΔVTQ, SSS; diagonals bisect each other and opp. sides of quadrilateral are congruent. 100 80 7 C Homework #38 p. 329 13, 15-20, 21-33 odd, 44, 45