Chapter 6: Polygons and Parallelograms

SECTION 6: PROPERTIES OF KITES AND TRAPEZOIDS

Megan Frantz Okemos High School Math Instructor

I Can

Use properties of kites to solve problems

Use properties of trapezoids to solve

problems

KitesA kite is a quadrilateral with exactly two pairs of congruent consecutive sides.

Properties of Kites

ExampleIn kite ABCD the mCDF = 52°. Find mBCD.

ExampleIn kite ABCD, mDAB = 54°, and mCDF = 52°. Find mABC.

ExampleIn kite PQRS, mPQR = 78°, and mTRS = 59°. Find mQRT.

TrapezoidsA 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.

Isosceles TrapezoidsIf the legs of a trapezoid are congruent, the trapezoid is an

isosceles trapezoid

ExampleFind mA.

ExampleJN = 10.6, and NL = 14.8. Find KM.

ExampleFind the value of x so that PQST is isosceles.

Midsegment of a Trapezoid

The midsegment of a trapezoid is the segment whose endpoints are the midpoints of the legs

ExampleFind EH.

I Can

Use properties of kites to solve problems

Use properties of trapezoids to solve problems