6.6 TRAPEZOIDS

• A quadrilateral with exactly 1 pair of opposite parallel sides (bases), 2 pairs of base angles, and 1 pair of non-parallel sides (legs)

• Isosceles Trapezoid:• A trapezoid with congruent

legs and congruent base angles

• Median (of a trapezoid):• The segment that connects

the midpoints of the legs

• The median is parallel to the bases

• Diagonals of an isosceles trapezoid are congruent

base

base

leg leg

Base angleBase angle

Median = ½ (base + base)

A B

CD

AC = BD

A. Each side of the basket shown is an isosceles trapezoid. If mJML = 130, KN = 6.7 feet, and LN = 3.6 feet, find mMJK.

B. Each side of the basket shown is an isosceles trapezoid. If mJML = 130, KN = 6.7 feet, and JL is 10.3 feet, find MN.

In the figure, MN is the midsegment of trapezoid FGJK. What is the value of x.

WXYZ is an isosceles trapezoid with medianFind XY if JK = 18 and WZ = 25.

A. If WXYZ is a kite, find mXYZ.

A. If WXYZ is a kite, find mXYZ.