Post on 03-Mar-2021
6.6 Trapezoids and Kites.notebook
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6.6: Trapezoids & Kites Date: 2/3
Theorem 6 19: “If a quadrilateral is an isosceles trapezoid, then each pair of base angles is congruent.”
TRAPEZOIDS
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Ex 1). RSTU is an isosceles trapezoid and What are
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Ex 2). LMNO is an isosceles trapezoid and What are
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Theorem 620: “If a quadrilateral is an isosceles trapezoid, then its diagonals are congruent.”
Ex 3). WXYZ is an isosceles trapezoid, and WY = 12, what is XZ?
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Ex 4). AC = x + 5 and DB = 2x – 2. Find the value of x and each diagonal.
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Theorem 621: “If a quadrilateral is a trapezoid then,
1. The midsegment is parallel to the bases
2. The length of the midsegment is the average of thelengths of the bases.
Ex 5). TU is the midsegment of trapezoid WXYZ. What is x?
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Ex 6). Find GH.
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Ex 7). Find the lengths of the segments with variable expressions.
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KITES
Theorem 622: “If a quadrilateral is a kite, then its diagonals are perpendicular.
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Ex 8). ABCD is a kite. What are m<1 and m<2?
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The following are kites , find the missing angles:
Ex 9).
Ex 10).
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Find the value of the variable in each kite .
Ex 11).
Ex 12).
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Ex 13). Determine whether each statement is true or false. Explain.
a) All kites are quadrilaterals
b) A kite is a parallelogram
c) A kite can have congruent diagonals
d) Both diagonals of a kite bisect angles at the vertices.
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Homework: 6.6 Practice Worksheet
Chapter 6 Test next Friday 2/10
MathXL #2 is due on Friday 2/17