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

Definitions 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 congruent angles.

Venn Diagram Is a square a parallelogram? Is a rectangle a rhombus? Is a parallelogram a rhombus? Is a rhombus a square? parallelogram rhombusrectangle square

Example ABCD is a rectangle. What do you know about rectangle ABCD?

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.

Example Given: Rectangle WXYZ K is the midpoint of WY WY = 8n – 16 ZK = _________ XK = _________

Example Is PQRS a parallelogram? P (-1, -3) Q (2, -4) R (5, -1) and S (2, 0)

Example Match: All sides are congruent. All angles are congruent. The diagonals are congruent. Opposite angles are congruent. A. Parallelogram B. Rectangle C. Rhombus D. Square

Homework Page 351- See assignment guide