Properties of Trapezoids and Kites (8.5)

A Trapezoid is a quadrilateral with exactly ___ pair of parallel sides.

  1. The parallel sides are called the ______.
  1. The non-parallel sides are called the ______.
  1. The trapezoid has 2 pairs of base angles. Each pair share a side that is a base.

Theorem 8.14 – Theorem 8.16

Theorem 8.17 – Midsegment Theorem for Trapezoids

The Midsegment of a Trapezoid is:

  1. Parallel to Each Base
  2. Has a length equal to the sum of the length of its bases

(its length is the average of the bases).

A Kite is a quadrilateral that has two pairs of congruent sides

BUT opposite sides are not congruent

The diagonals are perpendicular.
(Theorem. 8.18)
Exactly one pair of opposite angles are congruent.
(Theorem. 8.19)