1. Slide Courtesty of Miss Lori Fisher 1 LESSON 6.5 TRAPEZOIDS AND KITES OBJECTIVE: Verify and use properties of trapezoids and kites During today’s lesson, we will verify and use properties of trapezoids and kites.

2. Slide Courtesty of Miss Lori Fisher 2 Definitions base leg base angles The base angles of a trapezoid are _________________ ______________________________________________ two angles that share a base of the trapezoid. Trapezoids

3. Slide Courtesty of Miss Lori Fisher 3 Theorem 6.15 The base angles of an isosceles trapezoid are __________ Theorem 6.16 The diagonals of an isosceles trapezoid are __________ ____  ____ Theorems Trapezoids congruent. D C A B AC BD

4. Slide Courtesty of Miss Lori Fisher 4 Theorem 6.17 The diagonals of a kite are _____________ ____  ____ Theorems (continued) Kites perpendicular. A D C B AC BD

5. Slide Courtesty of Miss Lori Fisher 5 WXYZ is an isosceles trapezoid, and m  X = 156 . Find the other missing angles. EXAMPLE #1

6. Slide Courtesty of Miss Lori Fisher 6 EXAMPLE #1 SOLUTIONS: WXYZ is an isosceles trapezoid, and m  X = 156 . Find the other missing angles. m  X + m  W = 180 b/c ______________________ ______________________ ______________________ bases are parallel in a trapezoid and angles that share a leg are SSI angles 156 + m  W = 180 m  W = 24  Because the base angles of an isosceles trapezoid are ________, m  ___ = m  ___ = ____  and m  ___ = m  ___ = ___  congruent WZ Y X 156 24

7. Slide Courtesty of Miss Lori Fisher 7 EXAMPLE # 2 : Find m  1, m  2, and m  3 in the kite.

8. Slide Courtesty of Miss Lori Fisher 8 EXAMPLE #2 SOLUTIONS Find m  1, m  2, and m  3 in the kite. m  1 = ____ b/c ____________________________ _________________________________________ _________________________________________ m  2 = ____ b/c ____________________________ _________________________________________ m  3 = ____ b/c ____________________________ 72  90  18  RU = RS by definition of a kite and base angles of an isosceles triangle are congruent. diagonals of a kite are perpendicular. ▲ sum = 180.

9. Slide Courtesty of Miss Lori Fisher 9 Assignment: pg 322 # 2 - 18 even, 20- 25 Using a concept map makes this so much easier ! HOMEWORK ASSIGNMENT