1. Chapter 6 Lesson 5 Objective: Objective: To verify and use properties of trapezoids and kites.

2. Trapezoids

3. The parallel sides of a trapezoid are its bases. The nonparallel sides are its legs. Two angles that share a base of a trapezoid are base angles of the trapezoid.

4. Theorem 6-15 Theorem 6-15 The base angles of an isosceles trapezoid are congruent. The bases of a trapezoid are parallel. Therefore the two angles that share a leg are supplementary.

5. Example 1: Finding Angles Measures ABCD is an isosceles trapezoid and m B = 102. Find m A, m C, and m D. By Theorem 6-15, m C = m B = 102 and m D = m A = 78.

6. Example 2: Finding Angles Measures In the isosceles trapezoid, m S = 70. Find m P, m Q, and m R. By Theorem 6-15, m S = m R= 70 and m P = m Q = 110.

7. Theorem 6-16 Theorem 6-16 The diagonals of an isosceles trapezoid are congruent.

8. Kites

9. Theorem 6-17 Theorem 6-17 The diagonals of a kite are perpendicular.

10. Example 3: Finding Angles Measures Find m 1, m 2, and m 3 in the kite. by SSS By CPCTC, m 3 = m DBC = 32

11. Example 4: Finding Angles Measures Find m 1, m 2, and m 3 in the kite.

12. Assignment Pg. 322 #1-25; 27-29