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Properties of Kites and Trapezoids

Vertex Angles. Non-vertex Angles. Properties of Kites and Trapezoids. Kite: 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. Properties of Kites and Trapezoids. >.

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Properties of Kites and Trapezoids

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  1. Vertex Angles Non-vertex Angles Properties of Kites and Trapezoids Kite: 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.

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

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

  4. X Y V Z W In kite WXYZ, mWXY = 104°, and mVYZ = 49°. Find each measure.1. mVZY2. mVXW3. mXWZ

  5. 74° > B C > A D Find mA.

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

  7. G > F (7z²+20)° (12z²)° > E H Find the value of z so that EFGH is isosceles.

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

  9. x > 22 > 30 Find x.

  10. 11.9 x 7.1 Find x.

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