6-5 Conditions for Rhombuses, Rectangles, and Squares

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Presentation transcript:

6-5 Conditions for Rhombuses, Rectangles, and Squares

Theorem 6-16 If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus

Theorem 6-17 If one diagonal of a parallelogram bisects a pair of opposite angles, then the parallelogram is a rhombus

Theorem 6-18 If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle

Problem 1: Identifying Special Parallelograms Can you conclude that the parallelogram is a rhombus, a rectangle, or a square? Explain!

Can you conclude that the parallelogram is a rhombus, a rectangle, or a square? Explain!

Problem 2: Using Properties of Special Parallelograms