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Quadrilaterals

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Quadrilaterals Revisited – PowerPoint PPT presentation

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Title: Quadrilaterals


1
Quadrilaterals
  • Revisited

2
Review of Parallelograms
  • Properties
  • Opposite sides ?
  • Opposite sides
  • Opposite angles ?
  • Consecutive angles
  • supplementary
  • Diagonals bisect
  • each other

3
Rectangles
  • Properties
  • All properties of parallelogram PLUS
  • All four angles are congruent (all 90o)

AND
4
  • A parallelogram is a rectangle if and only if its
    diagonals are congruent.

B
A
D
C
ABCD is a rectangle if and only if AC ? BD
5
Rhombuses
  • Properties
  • All properties of a parallelogram PLUS
  • All four sides congruent

AND
6
  • A parallelogram is a rhombus if and only if its
    diagonals are perpendicular.

7
Squares
  • Properties
  • All properties of a parallelogram
  • All properties of a rectangle
  • All properties of a rhombus

8
KITES
A quadrilateral that has two pairs of consecutive
congruent sides, but
opposite sides are not congruent.
9
If a quadrilateral is a kite, then its diagonals
are perpendicular.
10
If a quadrilateral is a kite, then exactly one
pair of opposite angles is congruent.
11
A trapezoid is a quadrilateral with exactly one
pair of parallel sides. The parallel sides of a
trapezoid are the bases of the trapezoid.
For each of the bases of a trapezoid, there is a
pair of base angles.
TRAPEZOID
The nonparallel sides of a trapezoid are the
legs of the trapezoid.
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