1. 5-M INUTE C HECK 1 1) LMNO is a rhombus. Find x. 2) LMNO is a rhombus. Find y. 3) QRST is a square. Find n if m  TQR = 8n + 8.

2. 6-6 T RAPEZOIDS AND K ITES

3. T RAPEZOID Quadrilateral with one pair of parallel sides Parallel sides are called the “bases”. Non-parallel sides are called the “legs”.

4. I SOSCELES T RAPEZOID Trapezoid where the legs are congruent Diagonals are congruent.

5. T HEOREM Base angles of an isosceles trapezoid are congruent. What else can you tell me about angles x and y? They are supplements! xx y y

6. TOO: F IND THE MISSING ANGLES 1) 2) 70 110 35 145

7. T HEOREM The median of a trapezoid is parallel to the bases (Base + Base) divided by 2 b b m

8. E XAMPLE : EF IS THE MEDIAN OF T RAPEZOID ABCD 1) If AB = 25 and DC = 13, find EF. 2) If AB = 29 and EF = 24, find DC. TOO: If AB = 7y + 6, EF = 5y – 3, and DC = y – 5, find y and EF. (both answers are decimals!!) A E DC F B 19 3.514.5

9. Kite Is a Quadrilateral Diagonals are Perpendicular 2 consecutive sets of sides are congruent Longer diagonal bisects the Angles and the shorter diagonal.

10. E XAMPLE If MNPQ is a kite, find NP. NR 2 + MR 2 = MN 2 Pythagorean Theorem (6) 2 + (8) 2 =MN 2 36 + 64=MN 2 100=MN 2 10=MN Since MN  NP, NP = 10.

11. E XAMPLE A.28° B.36° C.42° D.55° If BCDE is a kite, find m  CDE.

12. H OMEWORK Pg. 444 #8-11, 16-27, 41-44