Rhombuses, Rectangles, & Squares Sec 6.4 Continued GOALS: To use properties of diagonals for the rhombus, rectangle, and square.

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Presentation transcript:

Rhombuses, Rectangles, & Squares Sec 6.4 Continued GOALS: To use properties of diagonals for the rhombus, rectangle, and square

Theorem 6.11 A parallelogram is a rhombus if and only if its diagonals are perpendicular.

Theorem 6.12 A parallelogram is a rhombus if and only if each diagonal bisects a pair of opposite angles.

Theorem 6.13 A parallelogram is a rectangle if and only if its diagonals are congruent.

Example PQRS is a parallelogram. Find x

Example PQRS is a rhombus. Find x

Example WXYZ is a rectangle. The perimeter is triangle XYZ is 24. XY+YZ = 5x+1 and XZ = 13-x. Find WY.

Homework Page 353- See assignment guide