1. Chapter 8.2 Notes: Use Properties of Parallelograms
Goal: You will find angle and side measures in parallelograms.

2. A parallelogram is a quadrilateral with both pairs of opposite sides parallel.
The term “parallelogram PQRS” can be written as
Theorem 8.3:
If a quadrilateral is a parallelogram, then its opposite sides are congruent.
If PQRS is a parallelogram, then ______________.

3. Theorem 8.4:
If a quadrilateral is a parallelogram, then its opposite angles are congruent.
If PQRS is a parallelogram, then ______________.
Ex.1: What is true about the two triangles formed by one diagonal of a parallelogram?

4. Ex.2: Find the values of x and y. Ex.3: Find the values of x and y.

5. Angles of a polygon that share a common side are consecutive angles.
Theorem 8.5:
If a quadrilateral is a parallelogram, then its consecutive angles are supplementary.
If PQRS is a parallelogram, then ______________.

6. Ex.4: In and Find
the measures of
B C
A D

7. Theorem 8.6:
If a quadrilateral is a parallelogram, then its diagonals bisect each other.
Ex.5: Given Find the value of the variables.

8. Ex.6: Find the indicated measure in a. NM b. KM c. d.

9. Ex.7: Given:
Prove:
G T E
N H
L S