1. Honors Geometry Section 4.5 (2) Rectangles, Rhombuses & Squares

2. oh my!

3. A rectangle is a parallelogram with four right angles.

4. Since a rectangle is a parallelogram, a rectangle will have all the properties of a parallelogram.

5. Recall the properties of a parallelogram:

6. Theorem 4.5.9 In a rectangle the diagonals are congruent.

7. Examples: Consider rect. LOSI.

8. A rhombus is a parallelogram with four congruent sides. Any rhombus will also have the properties of a parallelogram listed above.

9. Theorem 4.5.8 In a rhombus, the diagonals are perpendicular.

10. Theorem 4.5.X In a rhombus, each diagonal bisects a pair of opposite angles.

11. Examples: Consider rhombus BSRE.

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

14. A square will have all the properties of the parallelogram, rectangle and rhombus.