Properties of Kites and Trapezoids

1
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
In kite WXYZ, m?WXY 104, and m?VYZ 49.
Find each measure.1. m?VZY2. m?VXW3. m?XWZ
5
Find m?A.
6
RW 17.7 and SV 23.3. Find TW.
7
Find the value of z so that EFGH is isosceles.
8
MQ 7y 6 and LP 4y 11. Find the value of
y so that LMPQ is isosceles.
9
Find x.
10
Find x.