6.6 - trapezoids and kites.notebook...6.6 trapezoids and kites.notebook 6 february 03, 2017 theorem...

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6.6 Trapezoids and Kites.notebook 1 February 03, 2017 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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Page 1: 6.6 - Trapezoids and Kites.notebook...6.6 Trapezoids and Kites.notebook 6 February 03, 2017 Theorem 6 21: “If a quadrilateral is a trapezoid then, 1. The midsegment is parallel to

6.6 ­ Trapezoids and Kites.notebook

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February 03, 2017

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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6.6 ­ Trapezoids and Kites.notebook

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February 03, 2017

Ex 1). RSTU is an isosceles trapezoid and What are

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6.6 ­ Trapezoids and Kites.notebook

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February 03, 2017

Ex 2). LMNO is an isosceles trapezoid and What are

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6.6 ­ Trapezoids and Kites.notebook

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February 03, 2017

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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6.6 ­ Trapezoids and Kites.notebook

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February 03, 2017

Ex 4). AC = x + 5 and DB = 2x – 2. Find the value of x and each diagonal.

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6.6 ­ Trapezoids and Kites.notebook

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February 03, 2017

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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6.6 ­ Trapezoids and Kites.notebook

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February 03, 2017

Ex 6). Find GH.

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6.6 ­ Trapezoids and Kites.notebook

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February 03, 2017

Ex 7). Find the lengths of the segments with variable expressions.

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February 03, 2017

KITES

Theorem 6­22: “If a quadrilateral is a kite, then its diagonals are perpendicular.

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6.6 ­ Trapezoids and Kites.notebook

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February 03, 2017

Ex 8). ABCD is a kite. What are m<1 and m<2?

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6.6 ­ Trapezoids and Kites.notebook

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February 03, 2017

The following are kites , find the missing angles:

Ex 9).

Ex 10).

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6.6 ­ Trapezoids and Kites.notebook

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February 03, 2017

Find the value of the variable in each kite .

Ex 11).

Ex 12).

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6.6 ­ Trapezoids and Kites.notebook

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February 03, 2017

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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6.6 ­ Trapezoids and Kites.notebook

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February 03, 2017

Homework: 6.6 Practice Worksheet

Chapter 6 Test ­ next Friday 2/10

MathXL #2 is due on Friday 2/17