6.4 Properties of Rhombuses, Rectangles, and Squares A rhombus is a parallelogram with four congruent sides. A rectangle is a parallelogram with four right.

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Presentation transcript:

6.4 Properties of Rhombuses, Rectangles, and Squares A rhombus is a parallelogram with four congruent sides. A rectangle is a parallelogram with four right angles. A square is a parallelogram with four congruent sides and four right angles.

Special 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.

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

Theorem 6.15 If a parallelogram is a rectangle, then its diagonals are congruent.

Finding Diagonal Length In rectangle RSBF, SF = 2x + 15 and RB = 5x – 12. What is the length of a diagonal? SF = RB 2x + 15 = 5x – = 3x x = 9 SF = 2x + 15 SF = 2(9) + 15 SF = SF = 33

More Practice!!!!! Homework – Textbook p. 379 – 380 # 1 – 39 ALL.