Properties of Kites and Trapezoids

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Kites & Trapezoids Objective: Discover properties about kites & trapezoids.

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Presentation transcript:

Properties of Kites and Trapezoids 2 distinct pairs of consecutive congruent sides. One diagonal is the  bisector of the other. Non-vertex angles are congruent. One diagonal bisects both vertex angles. Non-vertex Angles Vertex Angles

Properties of Kites and Trapezoids One pair of parallel sides. Consecutive angles between the bases are supplementary. Midsegment is the average of the two bases. b1 > m b2

Properties of Kites and Trapezoids Isosceles Trapezoid: Trapezoid whose non-parallel sides are congruent. Base angles are congruent. Diagonals are congruent. >

In kite WXYZ, mWXY = 104°, and mVYZ = 49°. Find each measure. 1 In kite WXYZ, mWXY = 104°, and mVYZ = 49°. Find each measure. 1. mVZY 2. mVXW 3. mXWZ W X Y Z V

Find mA. > A B C D 74°

RW = 17.7 and SV = 23.3. Find TW. > R S T V W

Find the value of z so that EFGH is isosceles. > E F G H (12z ²)° (7z ² + 20)°

MQ = 7y — 6 and LP = 4y + 11. Find the value of y so that LMPQ is isosceles.

Find x. > x 30 22

Find x. 11.9 7.1 x