1. 6.6 Properties of Kites and Trapezoids

2. Kite
Kite- a quadrilateral with exactly two pairs of congruent consecutive sides.

3. Kite Properties of Kites Diagonals are perpendicular
Exactly one pair of opposite angles are congruent

4. Example In kite ABCD, mDAB = 54°, and mCDF = 52°. a) Find mBCD.
b) Find mABC.
c) Find mFDA.

5. Example 2) In kite PQRS, mPQR = 78°, and mTRS = 59°. a) Find mQRT.
b) Find mQPS.
c) Find each mPSR.

6. Trapezoid Trapezoid- exactly one pair of parallel sides
Base- parallel sides
Legs- nonparallel sides
Base angles- two consecutive angles whose common side is a base

7. Isosceles Trapezoid
Isosceles Trapezoid- Trapezoid where the legs are congruent

8. Isosceles Trapezoid Properties of Isosceles Trapezoids
Base angles are congruent
One pair of congruent sides (legs)
Diagonals are congruent

9. Example
3) Find mA.
4) KB = 21.9 and MF = Find FB.

10. Example
5) Find mF.
6) JN = 10.6, and NL = Find KM.

11. Example 7) Find the value of a so that PQRS is isosceles.
8) AD = 12x – 11, and BC = 9x – 2. Find the value of x so that ABCD is isosceles.

12. Example
9) Find the value of x so that PQST is isosceles.

13. Midsegment
Midsegment of a trapezoid- a segment whose endpoints are the midpoints of the legs

14. Midsegment Theorem

15. Example
10) Find EF.

16. Example
11) Find EH.