1. 6-4 Squares and Rhombi Objectives:
To recognize and apply the properties of squares and rhombi.

2. Vocabulary
Rhombus/Rhombi
Square

3. Definitions
A rhombus is a quadrilateral with four congruent sides. Since opposite sides are congruent, a rhombus is a parallelogram.
A square is a quadrilateral with four right angles and four congruent sides. Squares are also considered rhombi, rectangles, and parallelograms.

4. Theorems Theorem 6-11 Theorem 6-12 Theorem 6-13
The diagonals of a rhombus are perpendicular.
Theorem 6-12
If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.
Theorem 6-13
Each diagonal of a rhombus bisects a pair of opposite angles.

5. Example 1

6. Example 2 x y

7. Homework
6-4 Worksheet