Parallelograms have Properties Click to view

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

A rectangle is a parallelogram with four right angles. 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.

A rhombus is a parallelogram with four congruent sides. 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: Do: On your paper, list the properties of a square. 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