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Geometry Section 8.4

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Geometry Section 8.4 Properties of Rhombuses, Rectangles, and Squares Rhombus A parallelogram with four congruent sides Rectangle Parallelogram with four right angles ... – PowerPoint PPT presentation

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Title: Geometry Section 8.4


1
GeometrySection 8.4
  • Properties of Rhombuses, Rectangles, and Squares

2
Rhombus
  • A parallelogram with four congruent sides

3
Rectangle
  • Parallelogram with four right angles

4
Square
  • Parallelogram with four congruent sides and four
    right angles

5
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

6
Rhombus Diagonal Theorem
  • A parallelogram is a rhombus iff its diagonals
    are perpendicular

7
Theorem
  • A parallelogram is a rhombus iff each diagonal
    bisects a pair of opposite angles

8
Rectangle diagonal thorem
  • A parallelogram is a rectangle iff its diagonals
    are congruent

9
Rhombus
  • Four congruent sides
  • Diagonals are perpendicular
  • Diagonals bisects a pair of angles
  • All parallelogram properties also apply!

10
Rectangles
  • Have four right angles
  • Diagonals are congruent
  • All properties of parallelograms apply!

11
Squares
  • Have four right angles and four congruent sides
  • All properties apply!

12
Assignment
  • Section 8.4
  • Page 537
  • Problems 19-24, 26-30 even, 32-49 all
  • Page 532 5 step up to writing---hand in
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