2Trapezoids-Some Definitions A trapezoid is a quadrilateral with exactly one pair of opposite sides parallel.One pair of base anglesbaseleglegbaseSecond pair of base anglesThe parallel sides are the bases.The nonparallel sides are the legs.Base Angles come in pairs and lie along each of the bases.
3Definition of Isosceles Trapezoid An isosceles trapezoid is a trapezoid with congruent legs.
4Definition of Midsegment The midsegment of a trapezoid is the segment that connects the midpoints of its legs.midsegment
5Isosceles Trapezoid Theorems If a trapezoid is isosceles, then each pair of base angles is congruent.If a trapezoid has one pair of congruent base angles, then it is isosceles.A trapezoid is isosceles if and only if its diagonals are congruent.
6Midsegment of a Trapezoid Theorem The midsegment of a trapezoid is parallel to each base and half the sum of the lengths of the bases.xyz
7Definition of a KiteA kite is a quadrilateral with two pairs of consecutive sides congruent.
8Kite TheoremsIf a quadrilateral is a kite, then its diagonals are perpendicular.If a quadrilateral is a kite, then exactly one pair of opposite angles is congruent.