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the opposite sides are parallel by definition, the opposite sides are congruent, the opposite angles are congruent, the diagonals bisect each other, any pair of consecutive angles are supplementary

parallelogram

all properties of a parallelogram apply, all angles are right angles, the diagonals are congruent

rectangle

two disjoint pairs of consecutive sides are congruent, the diagonals are perpendicular, one diagonal is the perpendicular bisector of the other, one of the diagonals bisect a pair of opposite angles, one pair of opposite angles are congruent

kite

all properties of a parallelogram apply, all properties of a kite apply, all sides are congruent, the diagonals bisect the angles, the diagonals are the perpendicular bisector of each other, the diagonals divide the rhombus into four congruent right triangles

rhombus

all properties of a rectangle apply, all properties of a rhombus apply, the diagonals form four isosceles right triangles

square

the legs are congruent, the bases are parallel, the lower base angles are congruent, the upper base angles are congruent, the diagonals are congruent, any lower base angle is supplementary to any upper base angle

isosceles trapezoid

a polygon with four sides

quadrilateral

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