6-5 Trapezoids and Kites M11.C.1 2.9.11.C Objectives: 1) To verify and use properties of trapezoids and kites.

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Presentation transcript:

6-5 Trapezoids and Kites M11.C C Objectives: 1) 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 The base angles of an isosceles trapezoid are congruent.

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

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

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

Example Find m ∠1, m∠2 and m∠3

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