.5), C(3, 3). is an NAME PERIOD 6-6 Study Guide and Intervention NAME DATE_ PERIOD Trapezoids and Kites 6-6 Study Guide and Intervention (continued) Properties of Trapezoids A trapezoid is a quadrilateral with exactly one pair 5 base Trapezoids and Kites parallel sides. The midsegment or median of a trapezoid is the segment that connects the midpoints of the legs of the trapezoid. Its measure is equal to one-half ohof the bases. If the legs are congruent, the trapezoid base Properties of Kites A kite is a quadrilateral with exactly two pairs of consecutive congruent sides. Unlike a sum of the lengths of the base STUR is an isosceles trapezoid . parallelogram, the opposite sides of a kite are not congruent or parallel. isosceles trapezoid. In an isosceles trapezoid bo congruent and the diagonals are congruent 60 pairs of base angles are SR = TU; LR = LU, LS = LT f a kite are perpendicular. For kite RMNP, MP L RN. In a kite, exactly one pair of opposite angles is congruent. Example: The vertices of ABCD are A(-3, -1), B(-1, 3), C(2, 3), and D(4, -1). Show that ABCD is a trapezoid and determine whether it is an isosceles trapezoid, B For kite RMNP , LM = LP. _3-(-1) = 4=2 Example 1: If WXYZ is a kite, find m LZ. -(-3) AB = V(-3 - (-1)) 2 + (-1-3) 2 slope of AD = =1 - -1-(-1)_0-0 The measures of LY and ZW are not congruent, so LX = LZ. 4- (-3) = V4 +16 =V20 = 2V5 mZX+mZY+m