Properties of quadrilaterals

The angles in a quadrilateral add up to {360}^\circ.

The properties of different kinds of quadrilaterals are listed below.

Square

a square is the only regular quadrilateral

all angles are equal ({90}^\circ)

all sides are of equal length

opposite sides are parallel

the diagonals bisect each other at {90}^\circ

the diagonals are equal in length

Diagram of a square

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}^\circ

Diagram of a rhombus

Rectangle

with a rectangle, all angles are equal ({90}^\circ)

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

Parallelogram

with a parallelogram, diagonally opposite angles are equal

opposite sides are of equal length

opposite sides are parallel

the diagonals bisect each other

Diagram of a parallelogram

Trapezium

with a trapezium, one pair of opposite sides is parallel

Diagram of a trapezium

Kite

with a kite, two pairs of sides are of equal length

one pair of diagonally opposite angles is equal

only one diagonal is bisected by the other

the diagonals cross at {90}^\circ

Diagram of a kite
curriculum-key-fact
Other 2D shapes are considered in the study guide on polygons and circles.