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Properties of Rhombuses, Rectangles, and Squares Lesson 8.4.

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Presentation on theme: "Properties of Rhombuses, Rectangles, and Squares Lesson 8.4."— Presentation transcript:

1 Properties of Rhombuses, Rectangles, and Squares Lesson 8.4

2 Corollaries Rhombus Corollary- A quadrilateral is a rhombus if and only if it has four congruent sides. Rectangle Corollary- A quadrilateral is a rectangle if and only if it has four right angles. Square Corollary- A quadrilateral is a square if and only if it is a rhombus and a rectangle. (Four Congruent Sides, Four Right Angles.)

3 Theorem 8.11 A parallelogram is a rhombus if and only if its diagonals are perpendicular

4 Theorem 8.12 A parallelogram is a rhombus if and only if each diagonal bisects a pair of opposite angles.

5 Theorem 8.13 A parallelogram is a rectangle if and only if its diagonals are congruent. A D C B AC = BD

6 Guided Practice Pg. 534-536(#’s 1-4all) Square Rectangle Rhombus Parallelograms

7 Homework 2-48even


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