6.6 Kites and Trapezoids.notebook February 27, 2014 6.6 Trapezoids and Kites Objective: Be able to verify and use properties of trapezoids and kites. A trapezoid is a quadrilateral with exactly one pair of parallel sides. Base Leg base angles Leg Base base angles An isosceles trapezoid is a trapezoid with legs that are congruent. Feb 1711:39 AM 1 6.6 Kites and Trapezoids.notebook February 27, 2014 Theorem 6.19: If a quadrilateral is an isosceles trapezoid, then each pair of base angles is congruent. Feb 1711:39 AM 2 6.6 Kites and Trapezoids.notebook February 27, 2014 RSTU is an isosceles trapezoid and m<S=75. What are m<R, m<T, and m<u? R S T U Feb 1711:39 AM 3 6.6 Kites and Trapezoids.notebook February 27, 2014 Theorem 6.20: If a quadrilateral is an isosceles trapezoid, then its diagonals are congruent. Feb 1711:39 AM 4 6.6 Kites and Trapezoids.notebook February 27, 2014 Theorem 6.21: If a quadrilateral is a trapezoid then (1) the midsegment is parallel to the bases and (2) the length of the midsegment is half the sum of the lengths of the bases. Feb 1711:39 AM 5 6.6 Kites and Trapezoids.notebook February 27, 2014 What are the values of x and y in the isosceles triangle below if B D A E C Feb 1711:39 AM 6 6.6 Kites and Trapezoids.notebook February 27, 2014 Z W T U X Y Feb 1711:39 AM 7 6.6 Kites and Trapezoids.notebook February 27, 2014 Theorem 6.22: If a quadrilateral is a kite, then its diagonals are perpendicular. Feb 1711:39 AM 8 6.6 Kites and Trapezoids.notebook February 27, 2014 A 2 B 40 D 1 C Feb 1711:40 AM 9 6.6 Kites and Trapezoids.notebook February 27, 2014 This diagram is on pg. 393 of your textbook Feb 1711:40 AM 10 6.6 Kites and Trapezoids.notebook February 27, 2014 Homework: pg. 394395 #'s 7 73 odd Feb 1711:40 AM 11

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