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6.6 Trapezoids and Kites.notebook 1 January 29, 2016 6.6: Trapezoids & Kites Date: 1/29 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 › cms › lib4 › OH01001067 › Centricit… · Theorem 622: “If a quadrilateral is a kite, then ... SMART Board Interactive Whiteboard Notes

6.6 ­ Trapezoids and Kites.notebook

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January 29, 2016

6.6: Trapezoids & Kites Date: 1/29

Theorem 6 ­19: “If a quadrilateral is an isosceles trapezoid, then each pair of base angles is congruent.”

TRAPEZOIDS

Page 2: 6.6 - Trapezoids and Kites.notebook › cms › lib4 › OH01001067 › Centricit… · Theorem 622: “If a quadrilateral is a kite, then ... SMART Board Interactive Whiteboard Notes

6.6 ­ Trapezoids and Kites.notebook

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January 29, 2016

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

Page 3: 6.6 - Trapezoids and Kites.notebook › cms › lib4 › OH01001067 › Centricit… · Theorem 622: “If a quadrilateral is a kite, then ... SMART Board Interactive Whiteboard Notes

6.6 ­ Trapezoids and Kites.notebook

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January 29, 2016

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

Page 4: 6.6 - Trapezoids and Kites.notebook › cms › lib4 › OH01001067 › Centricit… · Theorem 622: “If a quadrilateral is a kite, then ... SMART Board Interactive Whiteboard Notes

6.6 ­ Trapezoids and Kites.notebook

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January 29, 2016

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?

Page 5: 6.6 - Trapezoids and Kites.notebook › cms › lib4 › OH01001067 › Centricit… · Theorem 622: “If a quadrilateral is a kite, then ... SMART Board Interactive Whiteboard Notes

6.6 ­ Trapezoids and Kites.notebook

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January 29, 2016

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

Page 6: 6.6 - Trapezoids and Kites.notebook › cms › lib4 › OH01001067 › Centricit… · Theorem 622: “If a quadrilateral is a kite, then ... SMART Board Interactive Whiteboard Notes

6.6 ­ Trapezoids and Kites.notebook

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January 29, 2016

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?

Page 7: 6.6 - Trapezoids and Kites.notebook › cms › lib4 › OH01001067 › Centricit… · Theorem 622: “If a quadrilateral is a kite, then ... SMART Board Interactive Whiteboard Notes

6.6 ­ Trapezoids and Kites.notebook

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January 29, 2016

Ex 6). Find GH.

Page 8: 6.6 - Trapezoids and Kites.notebook › cms › lib4 › OH01001067 › Centricit… · Theorem 622: “If a quadrilateral is a kite, then ... SMART Board Interactive Whiteboard Notes

6.6 ­ Trapezoids and Kites.notebook

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January 29, 2016

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

Page 9: 6.6 - Trapezoids and Kites.notebook › cms › lib4 › OH01001067 › Centricit… · Theorem 622: “If a quadrilateral is a kite, then ... SMART Board Interactive Whiteboard Notes

6.6 ­ Trapezoids and Kites.notebook

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January 29, 2016

KITES

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

Page 10: 6.6 - Trapezoids and Kites.notebook › cms › lib4 › OH01001067 › Centricit… · Theorem 622: “If a quadrilateral is a kite, then ... SMART Board Interactive Whiteboard Notes

6.6 ­ Trapezoids and Kites.notebook

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January 29, 2016

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

Page 11: 6.6 - Trapezoids and Kites.notebook › cms › lib4 › OH01001067 › Centricit… · Theorem 622: “If a quadrilateral is a kite, then ... SMART Board Interactive Whiteboard Notes

6.6 ­ Trapezoids and Kites.notebook

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January 29, 2016

The following are kites , find the missing angles:

Ex 9).

Ex 10).

Page 12: 6.6 - Trapezoids and Kites.notebook › cms › lib4 › OH01001067 › Centricit… · Theorem 622: “If a quadrilateral is a kite, then ... SMART Board Interactive Whiteboard Notes

6.6 ­ Trapezoids and Kites.notebook

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January 29, 2016

Find the value of the variable in each kite .

Ex 11).

Ex 12).

Page 13: 6.6 - Trapezoids and Kites.notebook › cms › lib4 › OH01001067 › Centricit… · Theorem 622: “If a quadrilateral is a kite, then ... SMART Board Interactive Whiteboard Notes

6.6 ­ Trapezoids and Kites.notebook

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January 29, 2016

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.

Page 14: 6.6 - Trapezoids and Kites.notebook › cms › lib4 › OH01001067 › Centricit… · Theorem 622: “If a quadrilateral is a kite, then ... SMART Board Interactive Whiteboard Notes

6.6 ­ Trapezoids and Kites.notebook

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January 29, 2016

Homework: 6.6 Practice Worksheet

MathXL: Chapter 6 Practice is Open! Due Friday 2/5