### 6.6 Kites and Trapezoids.notebook

```6.6 Kites and Trapezoids.notebook
February 27, 2014
6.6 Trapezoids and Kites
Objective: Be able to verify and use properties of trapezoids and
kites.
A trapezoid is a quadrilateral with exactly one pair of parallel sides.
Base
Leg
base angles
Leg
Base
base angles
An isosceles trapezoid is a trapezoid with legs that are congruent.
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6.6 Kites and Trapezoids.notebook
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Theorem 6.19: If a quadrilateral is an isosceles trapezoid, then each pair of base angles is congruent. Feb 17­11:39 AM
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RSTU is an isosceles trapezoid and m<S=75. What are m<R, m<T, and m<u?
R
S
T
U
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Theorem 6.20: If a quadrilateral is an isosceles trapezoid, then its diagonals are congruent.
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Theorem 6.21: If a quadrilateral is a trapezoid then (1) the midsegment is parallel to the bases and (2) the length of the midsegment is half the sum of the lengths of the bases. Feb 17­11:39 AM
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6.6 Kites and Trapezoids.notebook
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What are the values of x and y in the isosceles triangle below if B
D
A
E
C
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6.6 Kites and Trapezoids.notebook
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Z
W
T
U
X
Y
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Theorem 6.22: If a quadrilateral is a kite, then its diagonals are perpendicular.
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6.6 Kites and Trapezoids.notebook
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A
2
B
40
D
1
C
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This diagram is on pg. 393 of