Squares

Definition of a square

• A square is a quadrilateral that is both a rectangle and a rhombus.

Properties of a square

• The opposite sides of a square are parallel.
• All sides of a square are equal.
• All angles of a square are right angles.
• The diagonals of a square meet each side at 45 °.
• The diagonals of a square are equal and bisect each other at right angles.

Test for a square

• The quadrilateral must be both a rectangle and a rhombus.
• The diagonals of the quadrilateral are equal and bisect each other at right angles.