Quadrilateral types are parallelogram, kite, trapezium, rectangle, rhombus and square.
A family tree of quadrilaterals is:
A quadrilateral which has only one pair of opposite sides parallel is called a trapezium.
A quadrilateral, which has two pairs of equal sides next to each other, is called a kite.
A quadrilateral which has both pairs of opposite sides parallel, is called a parallelogram.
A rhombus is a parallelogram in which any pair of adjacent sides is equal.
A parallelogram one of whose angles is a right angle is called a rectangle.
A square is a rectangle, with a pair of adjacent sides equal. In other words, a parallelogram having all sides equal and each angle a right angle is called a square.