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6-5 Trapezoids and Kites M11.C.1 2.9.11.C

6-5 Trapezoids and Kites M11.C.1 2.9.11.C. Objectives: To verify and use properties of trapezoids and kites. Trapezoid Properties. The parallel sides are its bases, and the nonparallel sides its legs. Two angles that share a base of a trapezoid are base angles. Theorem.

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6-5 Trapezoids and Kites M11.C.1 2.9.11.C

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  1. 6-5 Trapezoids and KitesM11.C.1 2.9.11.C Objectives: To verify and use properties of trapezoids and kites.

  2. Trapezoid Properties • The parallel sides are its bases, and the nonparallel sides its legs. Two angles that share a base of a trapezoid are base angles.

  3. Theorem • The base angles of an isosceles trapezoid are congruent.

  4. Example • XYZW is an isosceles trapezoid m∠X = 156° m∠Y m∠Z m∠W

  5. Theorems • The diagonals of an isosceles trapezoid are congruent. • The diagonals of a kite are perpendicular.

  6. Example Isosceles trapezoid ABCD has diagonal AC and BD. AC = x + 5 and BD = 2x – 13. Find x.

  7. Example • Find m∠1, m∠2 and m∠3

  8. Homework • Page 322 #1-6, 8-16, 20-25

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