1. 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.

2. Theorem 6.3
Opposite sides of a

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

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

5. 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

6. Theorem 6.7
bisect
The diagonals of a
each other.

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

8. (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!)

9. 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 , 15-20, odd, 44, 45