1. Geometry Section
 I can use the properties of parallelograms to set up and solve equations to find variables.

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

4. 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

6. 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°.

8. Find the missing variables.

10. Segment JK is parallel to segment ML. JK = 7x + 5 and ML = 3x + 17
Segment JK is parallel to segment ML. JK = 7x + 5 and ML = 3x Find the value of x that make the quadrilateral a parallelogram.