Transcript Properties of Kites and Trapezoids

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.
Vertex Angles
Non-vertex Angles
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.
b
>
1
m
>
b2
Properties of Kites and Trapezoids
Isosceles Trapezoid:
• Trapezoid whose non-parallel sides are
congruent.
• Base angles are congruent.
• Diagonals are congruent.
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In kite WXYZ, mWXY = 104°, and
mVYZ = 49°. Find each measure.
X
1. mVZY
Y
2. mVXW
V
3. mXWZ
Z
W
Find mA.
B
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A
>
74°
D
C
S
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RW = 17.7 and SV = 23.3.
Find TW.
T
W
>
R
V
Find the value of z so that EFGH is
F
isosceles.
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>
E
(12z ²)°
G
(7z ² + 20)°
H
MQ = 7y — 6 and LP = 4y + 11. Find the value
of y so that LMPQ is isosceles.
P
M
L
Q
Find x.
x
>
22
>
30
Find x.
11.9
x
7.1