6-6 Trapezoids and Kites
Objective
To verify and use properties of trapezoids and kites
Dynamic Activity
Classifying Quadrilaterals
Lesson Vocabulary
- trapezoid
- base
- leg
- base angle
- isosceles trapezoid
- midsegment of a trapezoid
- kite
In the Solve It, the orange and green regions are trapezoids. The entire figure is a kite. In this lesson, you will learn about these special quadrilaterals that are not parallelograms.
Essential Understanding The angles, sides, and diagonals of a trapezoid have certain properties.
A trapezoid is a quadrilateral with exactly one pair of parallel sides. The parallel sides of a trapezoid are called bases. The nonparallel sides are called legs. The two angles that share a base of a trapezoid are called base angles. A trapezoid has two pairs of base angles.
An isosceles trapezoid is a trapezoid with legs that are congruent. ABCD below is an isosceles trapezoid. The angles of an isosceles trapezoid have some unique properties.
Take note Theorem 6-19
Theorem
If a quadrilateral is an isosceles trapezoid, then each pair of base angles is congruent.
If …
TRAP is an isosceles trapezoid with bases
Then …
You will prove Theorem 6-19 in Exercise 45.
Table of Contents
- 6-1 The Polygon Angle-Sum Theorems
- 6-2 Properties of Parallelograms
- 6-3 Proving That a Quadrilateral Is a Parallelogram
- 6-4 Properties of Rhombuses, Rectangles, and Squares
- 6-5 Conditions for Rhombuses, Rectangles, and Squares
- 6-6 Trapezoids and Kites
- 6-7 Polygons in the Coordinate Plane
- 6-8 and 6-9 Coordinate Geometry and Coordinate Proofs