The Rhombus

Definition

A Rhombus is a quadrilateral in which all sides have the same length. Since opposite sides are equal, a rhombus is also a parallelogram. Therefore, it inherits all properties of a parallelogram.

Special Properties

1. Perpendicular Diagonals

The most distinctive property of a rhombus is that its diagonals intersect at right angles ($90^\circ$).

2. Angle Bisectors

The diagonals of a rhombus bisect the vertex angles. For example, diagonal $AC$ cuts $\angle A$ and $\angle C$ exactly in half.