1. Geometry
Section 8.2

2. Parallelograms
By definition, a Parallelogram is a quadrilateral that has two pairs of parallel sides.

3. What are some properties of the parallelogram seen in the quilt below?

5. EXAMPLE 1
Use properties of parallelograms
ALGEBRA
Find the values of x and y.
ABCD is a parallelogram by the definition of a parallelogram.
In ABCD, x = 8 and y = 65.
ANSWER

7. EXAMPLE 2
Use properties of parallelograms
Desk Lamp
As shown, part of the extending arm of a desk lamp is a parallelogram. The angles of the parallelogram change as the lamp is raised and lowered Find m BCD when m ADC = 110°.

9. EXAMPLE 3
Standardized Test Practice
SOLUTION
By Theorem 8 .6, the diagonals of a parallelogram bisect each other. So, P is the midpoint of diagonals LN and OM . Use the Midpoint Formula. =
Coordinates of midpoint P of OM
4 + 0 2
7 + 0 ,
( ) = 7
( )
The correct answer is A.
ANSWER

10. Find the missing variables.