1. 6-5 Trapezoids and Kites M11.C.1 2.9.11.C Objectives: 1) To verify and use properties of trapezoids and kites.

2. Trapezoid Properties The parallel sides are its bases, and the nonparallel sides its legs. Two angles that share a base of a trapezoid are base angles.

3. Theorem The base angles of an isosceles trapezoid are congruent.

4. Example XYZW is an isosceles trapezoid m ∠X = 156° m∠Y m∠Z m∠W

5. Theorems The diagonals of an isosceles trapezoid are congruent. The diagonals of a kite are perpendicular.

6. Example Isosceles trapezoid ABCD has diagonal AC and BD. AC = x + 5 and BD = 2x – 13. Find x.

7. Example Find m ∠1, m∠2 and m∠3

8. Homework Page 322 #1-6, 8-16, 20-25