6.2 - Properties of Parallelograms

6.2 - Properties of Parallelograms

By Steve Dull

Objectives

• ​To use relationships among sides and angles of parallelograms

• To use relationships among diagonals of parallelograms​

Vocabulary

Parallelogram

A quadrilateral with both pairs of opposite sides parallel

Properties of a Parallelogram

​If a quadrilateral is a parallelogram, then:

​

• Opposite sides are congruent

• Consecutive angles are supplementary

• Opposite angles are congruent

• Diagonals bisect each other

Some text here about the topic of discussion

Let's apply these properties:

​ABCD is a parallelogram. Find each measure:

Multiple Choice

Determine the value of x.

• $$x=2$$  

• $$x=8$$  

• $$x=-2$$  

• $$x=14.14$$  

Open Ended

Determine $$m\angle B$$  

Open Ended

Explain how you could determine $$m\angle D$$  in this image: