Rhombuses

Definition of a rhombus

• A rhombus is a quadrilateral with all sides equal.

Properties of a rhombus

• The opposite sides of a rhombus are parallel.
• The opposite angles of a rhombus are equal.
• The diagonals of a rhombus bisect each vertex angle.
• The diagonals of a rhombus bisect each other at right angles.

Tests for a rhombus

A quadrilateral is a rhombus if:

• it is a parallelogram, and a pair of adjacent sides are equal,
• its diagonals bisect each other at right angles,
• its diagonals bisect each vertex angle.