6.6 properties of kites and trapezoids
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DESCRIPTION6.6 Properties of Kites and Trapezoids. Kite. Kite- a quadrilateral with exactly two pairs of congruent consecutive sides. Kite. Properties of Kites Diagonals are perpendicular Exactly one pair of opposite angles are congruent. Example. - PowerPoint PPT Presentation
6.6 Properties of Kites and Trapezoids
6.6 Properties of Kites and Trapezoids1KiteKite- a quadrilateral with exactly two pairs of congruent consecutive sides.
2KiteProperties of KitesDiagonals are perpendicular
Exactly one pair of opposite angles are congruent3ExampleIn kite ABCD, mDAB = 54, and mCDF = 52.
a) Find mBCD.
b) Find mABC.
c) Find mFDA.
4Example2) In kite PQRS, mPQR = 78, and mTRS = 59. a) Find mQRT.
b) Find mQPS.
c) Find each mPSR.
5TrapezoidTrapezoid- exactly one pair of parallel sidesBase- parallel sidesLegs- nonparallel sidesBase angles- two consecutive angles whose common side is a base
6Isosceles TrapezoidIsosceles Trapezoid- Trapezoid where the legs are congruent7Isosceles TrapezoidProperties of Isosceles TrapezoidsBase angles are congruent
One pair of congruent sides (legs)
Diagonals are congruent8Example3) Find mA.
4) KB = 21.9 and MF = 32.7. Find FB.
9Example5) Find mF.
6) JN = 10.6, and NL = 14.8. Find KM.
10Example7) 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.
11Example9) Find the value of x so that PQST is isosceles.
12MidsegmentMidsegment of a trapezoid- a segment whose endpoints are the midpoints of the legs
14Example10) Find EF.
15Example11) Find EH.