1. 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

2. 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

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

4. 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

5. Find mA.
> A B C D
74°

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

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

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

9. Find x.
> x 30 22

10. Find x.
11.9
7.1 x