Looking Back
(1) A simple closed figure bounded by
(2) Every quadrilateral divides a plane into three parts: interior, exterior and the quadrilateral.
(3) Every quadrilateral has a pair of diagonals.
(4) If the diagonals lie in the interior of the quadrilateral it is called
(5) The sum of interior angles of a quadrilateral is equal to
| Quadrilateral | Properties |
|---|---|
| Parallelogram: A quadrilateral with both pair of opposite sides parallel | (1) Opposite sides are equal. (2) Opposite angles are equal. (3) Diagonals bisect one another. |
| Rhombus: A parallelogram with all sides of equal length | (1) All the properties of a parallelogram. (2) Diagonals are perpendicular to each other. |
| Rectangle: A parallelogram with all right angles. | (1) All the properties of a parallelogram. (2) Each of the angles is a right angle. (3) Diagonals are equal. |
| Square: A rectangle with sides of equal length | All the properties of a parallelogram, rhombus and a rectangle |
| Kite: A quadrilateral with exactly two pairs of equal consecutive sides | (1) The diagonals are perpendicular to one another. (2) The diagonals are not of equal length. (3) One of the diagonals bisects the other. |
| Trapezium: A quadrilateral with one pair sides parallel | (1) One pair of opposite sides are parallel |