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.