6-4 Properties of Rhombuses, Rectangles, and Squares

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6.4 Rhombuses, Rectangles, and Squares

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6-4 Properties of Rhombuses, Rectangles, and Squares

Special Parallelograms

Problem 1: Classifying Parallelograms

Theorem 6-13 If a parallelogram is a rhombus, then its diagonals are perpendicular

Theorem 6-14 If a parallelogram is a rhombus, then each diagonal bisects a pair of opposite angles

Problem 2: Finding Angle Measures What are the measures of the numbered angles in rhombus ABCD?

What are the measures of the numbered angles in rhombus PQRS?

Theorem 6-15 If a parallelogram is a rectangle, then its diagonals are congruent

Problem 3: Finding Diagonal Length In rectangle RSBF, 𝑆𝐹=2𝑥+15 and 𝑅𝐵=5𝑥−12. What is the length of a diagonal?