1. Geometry Section 8.4 Properties of Rhombuses, Rectangles, and Squares

2. Rhombus A parallelogram with four congruent sides

3. Rectangle Parallelogram with four right angles

4. Square Parallelogram with four congruent sides and four right angles

5. Corollaries 1. A quadrilateral is a rhombus iff it has four congruent sides 2. A quadrilateral is a rectangle iff it has four right angles 3. A quadrilateral is a square iff it is a rhombus and a rectangle

6. Rhombus Diagonal Theorem A parallelogram is a rhombus iff its diagonals are perpendicular

7. Theorem A parallelogram is a rhombus iff each diagonal bisects a pair of opposite angles

8. Rectangle diagonal thorem A parallelogram is a rectangle iff its diagonals are congruent

9. Rhombus Four congruent sides Diagonals are perpendicular Diagonals bisects a pair of angles All parallelogram properties also apply!

10. Rectangles Have four right angles Diagonals are congruent All properties of parallelograms apply!

11. Squares Have four right angles and four congruent sides All properties apply!

12. Assignment Section 8.4 Page 537 Problems # 19-24, 26-30 even, 32-49 all Page 532 # 5 step up to writing---hand in