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Chapter 6: Polygons and Parallelograms SECTION 6: PROPERTIES OF KITES AND TRAPEZOIDS Megan FrantzOkemos High SchoolMath Instructor
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Use properties of kites to solve problems Use properties of trapezoids to solve problems
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Kites A kite is a quadrilateral with exactly two pairs of congruent consecutive sides.
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Properties of Kites
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Example In kite ABCD the mCDF = 52°. Find mBCD.
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Example In kite ABCD, mDAB = 54°, and mCDF = 52°. Find mABC.
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Example In kite PQRS, mPQR = 78°, and mTRS = 59°. Find mQRT.
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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.
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Isosceles Trapezoids If the legs of a trapezoid are congruent, the trapezoid is an isosceles trapezoid
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Example Find mA.
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Example JN = 10.6, and NL = 14.8. Find KM.
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Example Find the value of x so that PQST is isosceles.
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Midsegment of a Trapezoid The midsegment of a trapezoid is the segment whose endpoints are the midpoints of the legs
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Example Find EH.
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Use properties of kites to solve problems Use properties of trapezoids to solve problems
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