1. Chapter 6: Polygons and Parallelograms SECTION 6: PROPERTIES OF KITES AND TRAPEZOIDS Megan FrantzOkemos High SchoolMath Instructor

2.  Use properties of kites to solve problems  Use properties of trapezoids to solve problems

3. Kites A kite is a quadrilateral with exactly two pairs of congruent consecutive sides.

4. Properties of Kites

5. Example In kite ABCD the mCDF = 52°. Find mBCD.

6. Example In kite ABCD, mDAB = 54°, and mCDF = 52°. Find mABC.

7. Example In kite PQRS, mPQR = 78°, and mTRS = 59°. Find mQRT.

8. Trapezoids A trapezoid is a quadrilateral with exactly one pair of parallel sides. Each of the parallel sides is called a base. The nonparallel sides are called legs. Base angles of a trapezoid are two consecutive angles whose common side is a base.

9. Isosceles Trapezoids If the legs of a trapezoid are congruent, the trapezoid is an isosceles trapezoid

10. Example Find mA.

11. Example JN = 10.6, and NL = 14.8. Find KM.

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

13. Midsegment of a Trapezoid The midsegment of a trapezoid is the segment whose endpoints are the midpoints of the legs

14. Example Find EH.

15.  Use properties of kites to solve problems  Use properties of trapezoids to solve problems