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Published byClarence Bryan Modified over 8 years ago

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5.11 Use Properties of Trapezoids and Kites

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Vocabulary Trapezoid – a quadrilateral with exactly one pair of parallel sides. Base Base Angle Leg

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If the legs of the trapezoid are congruent, then the trapezoid is an isosceles trapezoid. The midsegment of a trapezoid is the segment that connects the midpoints of its legs.

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A kite is a quadrilateral that has two pairs of consecutive congruent sides, but opposite sides are not congruent.

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Theorems about isosceles trapezoids... If a trapezoid is isosceles, then each pair of base angles is congruent. If a trapezoid has a pair of congruent base angles, then it is an isosceles trapezoid. A trapezoid is isosceles if and only if its diagonals are congruent.

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Midsegment Theorem for Trapezoids: The midsegment of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the bases. ½ (b 1 +b 2 ) = length of midsegment

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Properties of Kites: If a quadrilateral is a kite, then its diagonals are perpendicular. If a quadrilateral is a kite, then exactly one pair of opposite angles are congruent.

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