Properties of Trapezoids and Kites

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Explore the characteristics of trapezoids and kites in geometry. Learn about isosceles trapezoids, angle measures, midsegments, theorems, and more through detailed explanations and visual aids. Understand the unique properties of each shape and how they are used in geometric calculations.

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6-6 Trapezoids and Kites

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

Problem 1: Finding Angle Measures in Trapezoids

Problem 2: Finding Angle Measures in Isosceles Trapezoids

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

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

Theorem 6-21 Trapezoid Midsegment Theorem If a quadrilateral is a trapezoid then: 1) The midsegment is parallel to the bases 2) The length of the midsegment is half the sum of the lengths of the bases