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

2. Trapezoids

3. The parallel sides of a trapezoid are its bases
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. The base angles of an isosceles trapezoid are congruent.
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. The diagonals of an isosceles trapezoid are congruent.
Theorem 6-16  
The diagonals of an isosceles trapezoid are congruent.

8. Kites

9. The diagonals of a kite are perpendicular.
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
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