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Week 3
Warm Up
01.19.12
Re 1
M = ½( b1 + b2 )
7 = ½( 4 + x )
14 = 4 + x
x = 10
Section
6.5 Day 2
I will use the properties of kites.
Kite
A quadrilateral that has two pairs of consecutive
congruent sides. Opposite sides are not congruent.
Ex 1
Theorem
6.18
Kite - Diagonals
If a quadrilateral is a kite,
then its diagonals are perpendicular.
Ex 2
WXYZ is a kite
Find WX and ZY
ZY =
ZY =
ZY =
WX ≅ 23.32
ZY ≅ 16.97
Theorem
6.19
Kites - Opposite Angles
If a quadrilateral is a kite, then exactly one pair of
opposite angles is congruent.
Ex 3
GHJK is a kite
Find ∠G and ∠J
m∠G = m∠J
2( m∠G ) + 132 + 60 = 360
2( m∠G ) + 192 = 360
2( m∠G ) = 168
m∠G = 84º
m∠J = 84º
Do 1:
What is the m∠ G?
Assignment: Handout - 6.5B
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