Parallelograms have Properties

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What is a parallelogram?

A parallelogram is a quadrilateral with both pairs

of opposite sides parallel.

Properties of Every Parallelogram: Both pairs of opposite sides are

congruent. Both pairs of opposite angles are

congruent. Consecutive adjacent angles are

supplementary. Diagonals bisect each other.

“Special Parallelograms”

Rectangle Rhombus

Square

Quadrilaterals

Parallelogram

Rectangle Rhombus Square

What is a rectangle?

A rectangle is a parallelogram with four right angles.

What are the properties of a rectangle? All the properties of every

parallelogram. (What are these properties?)

All four angles are right angles. The diagonals are congruent.

What is a rhombus?

A rhombus is a parallelogram with four congruent sides.

What are the properties of a rhombus? All the properties of every

parallelogram. The diagonals are perpendicular. Each diagonal bisects two angles

of the rhombus.

What is a square?

A square is a parallelogram with four right angles and four

congruent sides.

What are the properties of a square? A square has all the properties of

every parallelogram. A square has all the properties of a

rectangle. A square has all the properties of a

rhombus. A square is a parallelogram, a

rectangle, and a rhombus!

Summary Slide What is a parallelogram? Properties of Every Parallelogram: What is a rectangle? What are the properties of a rectangle? What is a rhombus? What are the properties of a rhombus? What is a square? What are the properties of a square?

Your turn:

1. Do: On your paper, list the properties of a square.

2. Think: How can you use these properties to determine the measures of sides, angles, and diagonals of a parallelogram? Be ready to share your thoughts!

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