Parallelograms have Properties

1
Parallelograms have Properties
Click to view
2
What is a parallelogram?

• A parallelogram is a quadrilateral with both
  pairs of opposite sides parallel.

3
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.

4
Special Parallelograms

• Rectangle
• Rhombus
• Square

5
Quadrilaterals
6
What is a rectangle?

• A rectangle is a parallelogram with four right
  angles.

7
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.

8
What is a rhombus?

• A rhombus is a parallelogram with four congruent
  sides.

9
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.

10
What is a square?

• A square is a parallelogram with four right
  angles and four congruent sides.

11
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!

12
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?

13
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!

Home