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Published byConrad Long Modified over 8 years ago

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Properties of Trapezoids and Kites The bases of a trapezoid are its 2 parallel sides A base angle of a trapezoid is 1 pair of consecutive angles whose common side is a base of the trapezoid Trapezoids have 2 pairs of base angles. The legs of a trapezoid are the 2 nonparallel sides

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Figure QRST is a trapezoid QR and TS are bases <Q and <R are base angles <T and <S are base angles QT and RS are legs of trapezoid Q R ST

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Midsegment of a trapezoid The midsegment of a trapezoid is the segment whose endpoints are the midpoints of the legs of the trapezoid

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Theorem 69-1 trapezoid midsegment theorem The midsegment of a trapezoid is parallel to both bases and has a length that is equal to half the sum of the bases EF is midsegment EF is parallel to AB EF is parallel to D EF = ½(AB + DC) E F

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Find the length of EF E F

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Properties of Isosceles Trapezoids Base angles of an isosceles trapezoid are congruent. If trapezoid ABCD is isosceles, then <A is congruent to <B and <C is congruent to <D

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Properties of Isosceles Trapezoids The diagonals of an isosceles trapezoid are congruent

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Properties of Kites Kites are quadrilaterals with exactly 2 pairs of congruent adjacent sides The diagonals of a kite are perpendicular

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Find the lengths of the sides of the kite W X Y Z 4 55 8

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practice EF is the midsegment of trap ABCD. Find the length of CD 22 in. 38 in.

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Find the measures of the angles in trapezoid 48

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Find BE AC = 17.5, AE = 9.6 E

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Find the lengths of the sides of kite to the nearest tenth 4 2 2 7

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