6-6 Trapezoids and Kites Geometry Theorems 6-19 through 6-22

Trapezoid

A quadrilateral with exactly one pair of parallel sides

Theorem 6-22

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

Theorem 6-21 Trapezoid Midsegment Theorem

If a quadrilateral is a trapezoid, then (1) the midsegment is parallel to the bases, and (2) the length of the midsegment is half the sum of the lengths of the bases

Theorem 6-20

If a quadrilateral is an isosceles trapezoid, then its diagonals are congruent.

Theorem 6-19

Quadrilateral is an isosceles trapezoid then each pair of base angles are congruent

Base

The parallel sides of a trapezoid

kite

a quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent

isosceles trapezoid

a trapezoid with congruent legs

midsegment of an isosceles trapezoid

segment that joins the midpoints of its legs

legs

the nonparallel sides of a trapezoid