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6-6 Trapezoids and Kites

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**Trapezoid: a quadrilateral with exactly one pair of parallel sides**

Isosceles Trapezoid: a trapezoid with legs that are congruent

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Theorem 6-19 If a quadrilateral is an isosceles trapezoid, then each pair of base angles is congruent

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**Problem 1: Finding Angle Measures in Trapezoids**

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**Problem 2: Finding Angle Measures in Isosceles Trapezoids**

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Theorem 6-20 If a quadrilateral is an isosceles trapezoid, then its diagonals are congruent

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**Midsegment of a trapezoid: is the segment that joins the midpoints of its legs**

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**Theorem 6-21 Trapezoid Midsegment Theorem**

If a quadrilateral is a trapezoid then: The midsegment is parallel to the bases The length of the midsegment is half the sum of the lengths of the bases

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**Problem 3: Using the Midsegment of a Trapezoid**

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**Kite: a quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent**

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Theorem 6-22 If a quadrilateral is a kite, then its diagonals are perpendicular

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**Problem 4: Finding Angle Measures in Kites**

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