TRAPEZOIDS AND KITES

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LESSON 6.5 TRAPEZOIDS AND KITES
OBJECTIVE Verify and use properties of
trapezoids and kites
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Definitions
The base angles of a trapezoid are 2 angles
that share a base of the trapezoid.
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Trapezoid Theorems
Theorem 6.15
The base angles of an isosceles trapezoid are
congruent.
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Theorem 6.16
The diagonals of an isosceles trapezoid are
congruent.
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KITE THEOREM
Theorem 6.17
The diagonals of a kite are
perpendicular.
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EXAMPLE 1
WXYZ is an isosceles trapezoid. Find the other
missing angles.
Bases are in a trapezoid. Angles
that share a leg are .
parallel
SSI
m?X m?W 180
156 m?W 180
m?W 24?
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Base angles of an isosceles trapezoid are
congruent.
Y
X
156
m?___ m?___ ___?
Z
24
and m?___ m?___ ___?
W
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EXAMPLE 2
Find m?1, m?2, m?3 in the kite. Explain.
90?
m?2
72?
m?1
18?
m?3
?RSU is isosceles and base angles of an isosceles
triangle are ?.
diagonals of a kite are perpendicular.
triangle sum.
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Assignment pg 322 2-18 even, 20-25,
27 Show all work and explanations