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# Geom 6point4 97

## on Jun 09, 2008

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## Geom 6point4 97Presentation Transcript

• 6.4 Rhombuses, Rectangles, & Squares
• Objective:
• Use properties of sides and angles and diagonals of rhombuses, rectangles, and squares
• Rhombus
• A rhombus is a parallelogram with 4 congruent sides.
• Rectangle
• A rectangle is a parallelogram with 4 right angles
• Square
• A square is a parallelogram with 4 congruent sides and 4 right angles
• Always, sometimes, or never?
• A rhombus is a rectangle
• sometimes
• A parallelogram is a rectangle
• sometimes
• A square is a rectangle
• always
• Always, sometimes, or never?
• A square is a rhombus
• always
• A rhombus is a square
• sometimes
• A rectangle is a rhombus
• sometimes
• If you know ABCD is a rectangle, what else do you know?
• Opposite sides are
• || and 
• Opposite angles are
• Consecutive angles are
• supplementary
• Diagonals
• bisect each other
A B C D
• Corollaries About Special Parallelograms
• Rhombus Corollary
• A quadrilateral is a rhombus if and only if it has 4 congruent sides
• Rectangle Corollary
• A quadrilateral is a rectangle if and only if it has 4 right angles
• Square Corollary
• A quadrilateral is a square if and only if it is a rhombus and a rectangle
• Using Diagonals of Special Parallelograms
• 3 theorems . . .
• Theorem
• A parallelogram is a rhombus if and only if its diagonals are perpendicular
• Theorem
• A parallelogram is a rhombus if and only each diagonal bisects a pair of opposite angles
• Theorem
• A parallelogram is a rectangle if and only if its diagonals are congruent.
• Do p. 351 1-21
• Homework: Do worksheets.