# The Properties of a Rhombus

A rhombus is a plain, 2d figure that has straight lines. It is considered a quadrilateral so it has four sides and each of these sides are equal.

The opposite angles of a rhombus are congruent. A rhombus has been described as a special parallelogram. Remember a parallelogram has two pairs of parallel sides. A rectangle, which is a parallelogram has two pairs of parallel sides and four congruent angles. A rhombus has four congruent sides but only the opposite angles are equal, however, all four angles can be congruent. If you combine a rectangle and a rhombus you get a square with four congruent sides and angles.

The diagonals of a rhombus are perpendicular and they also create four congruent interior right triangles.
The diagonals cut each other in half, in other words, they bisect each other, however, they don't have to be the same length.
If you need to find the perimeter of a rhombus you can take four times one side or 4S
The formula for the area if you're giving the height, remember the height is perpendicular to the side, is height times side of the Rhombus.

Height x Side

If you're given the length of the diagonals you can use,

Diagonal 1 x Diagonal 2/2
or
½(D1 x D2)