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Properties of Rhombuses, Rectangles, and Squares

Properties of Rhombuses, Rectangles, and Squares. Lesson 8.4. 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.

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Properties of Rhombuses, Rectangles, and Squares

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  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. B A AC = BD D C

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

  7. Homework • 2-48even

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