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Lesson 6-6 Trapezoids and Kites

Lesson 6-6 Trapezoids and Kites. trapezoid bases legs of a trapezoid base angles isosceles trapezoid midsegment of a trapezoid kite. Vocabulary. A quadrilateral with exactly one pair of parallel sides. Definition:.

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Lesson 6-6 Trapezoids and Kites

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  1. Lesson 6-6 Trapezoids and Kites

  2. trapezoid • bases • legs of a trapezoid • base angles • isosceles trapezoid • midsegment of a trapezoid • kite Vocabulary

  3. Lesson 6-6 Trapezoid & Kites A quadrilateral with exactly one pair of parallel sides. Definition: The parallel sides are called bases and the non-parallel sides are called legs. Base Trapezoid Leg An Isosceles trapezoid is a trapezoid with congruent legs. Isosceles trapezoid Trapezoid

  4. Properties of Isosceles Trapezoid 1. Both pairs of base angles of an isosceles trapezoid are congruent. 2. The diagonals of an isosceles trapezoid are congruent. B A Base Angles D C Lesson 6-6: Trapezoid & Kites

  5. Concept 1

  6. Concept 2

  7. Use Properties of Isosceles Trapezoids A. BASKET Each side of the basket shown is an isosceles trapezoid. If mJML= 130, KN = 6.7 feet, and LN = 3.6 feet, find mMJK. Answer:mMJK = 50 Example 1A

  8. Use Properties of Isosceles Trapezoids B. BASKET Each side of the basket shown is an isosceles trapezoid. If mJML= 130, KN = 6.7 feet, and JL is 10.3 feet, find MN. Answer:MN = 3.6 Example 1B

  9. A. Each side of the basket shown is an isosceles trapezoid. If mFGH = 124, FI = 9.8 feet, and IG = 4.3 feet, find mEFG. A. 124 B. 62 C. 56 D. 112 Example 1A

  10. B. Each side of the basket shown is an isosceles trapezoid. If mFGH = 124, FI = 9.8 feet, and EG = 14.1 feet, find IH. A. 4.3 ft B. 8.6 ft C. 9.8 ft D. 14.1 ft Example 1B

  11. Concept 3

  12. In the figure, MN is the midsegment of trapezoid FGJK. What is the value of x? Midsegment of a Trapezoid Answer:x = 40 Example 3

  13. Midsegment of a Trapezoid Example 3

  14. WXYZ is an isosceles trapezoid with medianFind XY if JK = 18 and WZ = 25. A.XY = 32 B.XY = 25 C.XY = 21.5 D.XY = 11 Example 3

  15. Concept 4

  16. Example 4A Use Properties of Kites A. If WXYZ is a kite, find mXYZ. Answer:mXYZ= 45

  17. Example 4B Use Properties of Kites B. If MNPQ is a kite, find NP.

  18. Example 4A A. If BCDE is a kite, find mCDE. A. 28° B. 36° C. 42° D. 55°

  19. Example 4B B. If JKLM is a kite, find KL. A. 5 B. 6 C. 7 D. 8

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