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Properties of 2D shapesProperties of quadrilaterals

2D shapes are flat, plane shapes. Triangles have three sides and three angles that add up to 180掳. Quadrilaterals have four sides and four angles that add up to 360掳.

Part of Maths2D shapes and 3D objects

Properties of quadrilaterals

The angles in a quadrilateral add up to 360掳.

The properties of different kinds of quadrilateral are listed below.

Square

A square is the only regular quadrilateral.

All angles are equal (90掳).

All sides are of equal length.

Opposite sides are parallel.

The diagonals bisect each other at 90掳.

The diagonals are equal in length.

Diagram of a square

Rectangle

With a rectangle, all angles are equal (90掳).

Opposite sides are of equal length.

The diagonals are equal in length.

Opposite sides are parallel.

The diagonals bisect each other.

Diagram of a rectangle

Rhombus

With a rhombus, all sides are of equal length.

Opposite sides are parallel.

Diagonally opposite angles are equal.

The diagonals bisect each other at 90掳.

Diagram of a rhombus

Parallelogram

A parallelogram has two pairs of equal angles opposite each other.

Opposite sides are of equal length.

Opposite sides are parallel.

The diagonals bisect each other.

Diagram of a parallelogram

Kite

A kite has two pairs of sides of equal length.

One pair of diagonally opposite angles is equal.

Only one diagonal is bisected by the other.

The diagonals cross at 90掳

Diagram of a kite

Trapezium

A trapezium has one pair of parallel opposite sides.

Diagram of a trapezium