1. 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

2. 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

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

4. 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

5. Find the length of EF E F

6. 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

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

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

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

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

11. Find the measures of the angles in trapezoid 48

12. Find BE AC = 17.5, AE = 9.6 E

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