1. 8.5 Kites & Trapezoids

2. Proving Kite Properties
Kite Non-vertex Angles Thm
The non-vertex angles of a kite are congruent.
Kite Angle Bisector Thm
The vertex angles of a kite are bisected by a diagonal.
Kite Diagonals Thm
The diagonals of a kite are perpendicular.
Kite Diagonal Bisector Thm
The diagonal connecting the vertex angles of a kite is the perpendicular bisector of the other diagonal.

3. Proving Trapezoid Properties
Trapezoid Consecutive Angles Thm
The consecutive angles between the bases of a trapezoid are supplementary.
Isosceles Trapezoid Thm
The base angles of an isosceles trapezoid are congruent.
Converse
Isosceles Trapezoid Diagonals Thm
A trapezoid is isosceles if and only if its diagonals are congruent.

4. Examples (Discovering Geometry by Serra)3 6 12
Determine the perimeter. 1. z 2.

5. Examples (Discovering Geometry by Serra)4. 3.

6. Exercises (p. 540, Larson)

7. Midsegments 5.1 of a Triangle 8.5 of a Trapezoid

8. The 3 midsegments of a triangle divide it into 4 congruent triangles.

9. Examples (p.297, Larson)

11. Exercises (Discovering Geometry by Serra)12 z 2. 1. 3. 4. 5.

12. Exercises (Discovering Geometry by Serra)6. 8. 7.

13. Exercises (p.540, Larson)

14. In Summary (pp.544 - 549, Larson)

15. In Summary (pp.544 - 549, Larson)

16. In Summary (pp.544 - 549, Larson)

17. In Summary (pp.544 - 549, Larson)

18. In Summary (pp.544 - 549, Larson)

19. In Summary (pp.544 - 549, Larson)

20. In Summary (pp.544 - 549, Larson)

21. In Summary (pp.544 - 549, Larson)

22. In Summary (pp.544 - 549, Larson)