6.6 Trapezoids and Kites

1
6.6 Trapezoids and Kites

• Assignment 20 6.6 WB Pg. 82 1 10 all

2
Trapezoid definition

• A Trapezoid is a quadrilateral with only one
  pair of parallel sides.

3
Isosceles Trapezoids

• Isosceles Trapezoids have congruent legs.

4
Theorem 6.21

• If a trapezoid is isosceles, then each pair of
  base angles are congruent.

5
Theorem 6.22

• If a pair of base angles in a trapezoid are
  congruent, then the trapezoid is an isosceles
  trapezoid.

6
Theorem 6.23

• A trapezoid is isosceles iff its diagonals are
  congruent.

7
Trapezoid Midsegment Theorem

• Midsegment connect the midpoints of the legs, it
  is parallel to both bases and the length is half
  the sum of the base lengths.

8
Solve for NO

• The Midsegment equal half the parallel sides sum.

9
Definition of a Kite

• A kite is a quadrilateral with two distinct pairs
  of adjacent sides that are congruent.

10
Theorem 6.25

• If a quadrilateral is a kite, then its diagonals
  are perpendicular.

11
Theorem 6.26

• If a quadrilateral is a kite, then exactly one
  pair of opposite angles is congruent.