Types of Quadrilateral

A family tree of quadrilaterals is:

Trapezium

A quadrilateral which has only one pair of opposite sides parallel is called a trapezium.

Kite

A quadrilateral, which has two pairs of equal sides next to each other, is called a kite.

Parallelogram

A quadrilateral which has both pairs of opposite sides parallel, is called a parallelogram.

  • The opposite sides of a parallelogram are equal. 
  • The opposite angles of a parallelogram are equal. 
  • The diagonals of a parallelogram bisect each other.

Rhombus

A rhombus is a parallelogram in which any pair of adjacent sides is equal.

  • All sides of a rhombus are equal.
  • Opposite angles of a rhombus are equal.
  • The diagonals of a rhombus bisect each other at right angles.

Rectangle

A parallelogram one of whose angles is a right angle is called a rectangle.

  • The opposite sides of a rectangle are equal.
  • Each angle of a rectangle is a right angle.
  • The diagonals of a rectangle are equal.
  • The diagonals of a rectangle bisect each other.

Square

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.

  • All the sides of a square are equal.
  • Each of the angles measures 90°.
  • The diagonals of a square are equal.
  • The diagonals of a square bisect each other at right angles.