1. Trapezoids and Kites
Section 8.5

2. Trapezoid Definition
A trapezoid is a quadrilateral with exactly one pair of parallel sides. These sides are the bases.

3. Is this a trapezoid?

4. Isosceles Trapezoid
If the legs of a trapezoid are congruent, then the trapezoid is an isosceles trapezoid.

5. Theorem 8.14
If a trapezoid is isosceles, then each pair of base angles is congruent.

6. Theorem 8.15
If a trapezoid has a pair of congruent base angles, then it is an isosceles trapezoid.

7. Theorem 8.16
A trapezoid is isosceles if and only if its diagonals are congruent.

8. Midsegment Definition
The midsegment connects the midpoints of the legs.

9. Midsegment Theorem
The midsegment of a trapezoid is parallel to each base and its length is one half the sum of the bases.

10. What is the length of MN in the diagram?

11. Kite Definition
A kite is a quadrilateral that has two pairs of consecutive congruent sides, but opposite sides are not congruent.

12. Theorem 8.18
If a quadrilateral is a kite, then its diagonals are perpendicular.

13. Theorem 8.19
If a quadrilateral is a kite, then exactly one pair of opposite angles are congruent.

14. What is the measure of angle D in the kite below?

15. Assignment
Pg. 546 #7-27 odds