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Rhombus a parallelogram with four congruent sides Rectangle a parallelogram with four right angles Square a parallelogram with four congruent sides and four right angles (combination of a rhombus and a rectangle) Rhombus Theorems (1) a parallelogram is a rhombus if and only if its diagonals are perpendicular (2) A parallelogram is a rhombus is a rhombus if and only if each diagonal bisects a pair of opposite angles Rectangle Theorems (1) A parallelogram is a rectangle if and only if its diagonal are congruent Trapezoid a quadrilateral with exactly one pair of parallel sides Trapezoid's bases the parallel side Trapezoid's legs the nonparallel sides isosceles trapezoid the legs of the trapezoid are congruent Isosceles trapezoid Theorems (1) a trapezoid is isosceles, then each pair of base angles congruent (2) Atrapezoid is isosceles if and only if its diagonals are congruent Mid segment theorem for Trapezoids The midsegment og a trapazoid is parallel to each base and its length is one half the sum of the lengths of the bases Kite a quadrilateral that has two pairs of consecutive congruent sides Kite Theorems (1) a quadrilateral is a kite, then its diagonals are perpendicular (2) If a quadrilatrilateral is a kite, then exactly one pair of opposite angles are congruent