This document defines and discusses properties of trapezoids, isosceles trapezoids, kites, and midsegments of trapezoids. It defines trapezoids as quadrilaterals with one pair of parallel sides and two pairs of unequal non-parallel sides. Isosceles trapezoids are defined as having at least one pair of equal base sides. Kites are defined as quadrilaterals with two pairs of consecutive equal sides but no equal opposite sides. Theorems are presented about the properties of sides, angles, and diagonals of these special quadrilaterals.