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## 6.6 Trapezoids and Kites

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**6.6 Trapezoids and Kites**• A trapezoid is a quadrilateral with exactly one pair of parallel sides. • The parallel sides of a trapezoid are called bases. • The nonparallel sides are called legs. • Two angles that share a base of a trapezoid are called base angles. • An isosceles trapezoid is a trapezoid with legs that are congruent.**Theorem 6.19**• If a quadrilateral is an isosceles trapezoid, then each pair of base angles is congruent.**Finding Angle Measures in Trapezoids**• CDEF is an isosceles trapezoid and the measure of angle C = 65. What are the measures of angle D, angle E, and angle F?**Theorem 6.20**• If a quadrilateral is an isosceles trapezoid, then its diagonals are congruent.**Midsegment of a Trapezoid**• The midsegment of a trapezoid is the segment that joins the midpoints of its legs. • Is parallel to the bases. • The length of the midsegment is half the sum of the lengths of the bases.**Kites**• A kite is a quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent.**Theorem 6.22**• If a quadrilateral is a kite, then its diagonals are perpendicular.**Finding Angle Measures in Kites**• Quadrilateral DEFG is a kite. What are the measures of angle 1, angle 2, and angle 3?**More Practice!!!!!**• Homework – Textbook p. 394 – 395 #7 – 36 ALL.