1. Objectives State the properties of trapezoids and kites
Solve problems involving kites and trapezoids

2. Trapezoid Definitions
The parallel sides of a trapezoid are the bases
The non-parallel sides of a trapezoid are the legs
The angles that share a base are the base angles.

3. Theorem 6-15 Base Angles of Isosceles Trapezoid
The base angles of an isosceles trapezoid are congruent.

4. Example: Base angles of isosceles trapezoid
Same side interior angles are suppl.
Substitution
Subtraction
The base angles of an isosceles trapezoid are congruent.

5. Theorem 6-16
A trapezoid is isosceles if and only if its diagonals are congruent

6. Example: Diagonals of Isosceles Trapezoid
JN = 10.6, and NL = Find KM.
Isos. trap. s base 
KM = JL
Def. of  segs.
JL = JN + NL
Segment Add Postulate
KM = JN + NL
Substitute.
KM = = 25.4
Substitute and simplify.

7. Theorem 6-17 Diagonals of a Kite
The diagonals of a kite are perpendicular

8. Example: Diagonals of a Kite
Diagonals of a kite are perpendicular
∠2 is the complement of ∠DBC
BD ≅ BD Reflexive Prop. of Congruence