Geometry Section 8.4 Properties of Rhombuses, Rectangles, and Squares.

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Presentation transcript:

Geometry Section 8.4 Properties of Rhombuses, Rectangles, and Squares

Rhombus A parallelogram with four congruent sides

Rectangle Parallelogram with four right angles

Square Parallelogram with four congruent sides and four right angles

Corollaries 1. A quadrilateral is a rhombus iff it has four congruent sides 2. A quadrilateral is a rectangle iff it has four right angles 3. A quadrilateral is a square iff it is a rhombus and a rectangle

Rhombus Diagonal Theorem A parallelogram is a rhombus iff its diagonals are perpendicular

Theorem A parallelogram is a rhombus iff each diagonal bisects a pair of opposite angles

Rectangle diagonal thorem A parallelogram is a rectangle iff its diagonals are congruent

Rhombus Four congruent sides Diagonals are perpendicular Diagonals bisects a pair of angles All parallelogram properties also apply!

Rectangles Have four right angles Diagonals are congruent All properties of parallelograms apply!

Squares Have four right angles and four congruent sides All properties apply!

Assignment Section 8.4 Page 537 Problems # 19-24, even, all Page 532 # 5 step up to writing---hand in