Lesson 2.17: Trapezoid & Kites 1

Lesson 6-5

Trapezoids and Kites

Lesson 2.17: Trapezoid & Kites 2

TrapezoidA quadrilateral with exactly one pair of parallel sides.Definition:

BaseLeg

An Isosceles trapezoid is a trapezoid with congruent legs.

Trapezoid

The parallel sides are called bases and the non-parallel sides are called legs.

Isosceles trapezoid

Lesson 2.17: Trapezoid & Kites 3

Properties of Isosceles Trapezoid

A B and D C

2. The diagonals of an isosceles trapezoid are congruent.

1. Both pairs of base angles of an isosceles trapezoid are congruent.

A B

CD

Base Angles

AC DB

Lesson 2.17: Trapezoid & Kites 4

The median of a trapezoid is the segment that joins the midpoints of the legs.

The median of a trapezoid is parallel to the bases, and its measure is one-half the sum of the measures of the bases.

Median

1b

2b

1 21 ( )2

median b b

Median of a Trapezoid

Find the length of the median.

Find the value of x.

Homework Page 334- 335

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