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Geom 6point4 97
 

Geom 6point4 97

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    Geom 6point4 97 Geom 6point4 97 Presentation 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.