Click to explore updated revision resources for GCSE Maths: Quadrilaterals, with step-by-step slideshows, quizzes, practice exam questions, and more!

A quadrilateral is a 2D shape with four sides.

There are six special quadrilaterals with different properties.

Square

• A square has four sides of equal length.
• It has four right angles (90°).
• The opposite sides are parallel.
• The diagonalsbisect each other at right angles.

Rectangle

• A rectangle has two pairs of equal sides.
• It has four right angles (90°).
• The opposite sides are parallel.
• The diagonals bisect each other.

Parallelogram

• A parallelogram has two pairs of equal sides.
• It has two pairs of equal angles.
• The opposite sides are parallel.
• The diagonals bisect each other.

Rhombus

• A rhombus has four sides of equal lengths.
• It has two pairs of equal angles.
• The opposite sides are parallel.
• The diagonals bisect each other at right angles.

Trapezium

• A trapezium has one pair of parallel sides.

Kite

• A kite has two pairs of equal sides.
• It has one pair of equal angles.
• The diagonals bisect at right angles.

The sum of interior angles in a quadrilateral

This fact and the properties of quadrilaterals can be used to calculate angles.

Example