Which of the following properties is true for a rhombus?

A rhombus is defined as a type of quadrilateral in which all four sides are of equal length. One of the key properties of a rhombus is that its diagonals bisect each other. This means that when you draw the diagonals of a rhombus, they intersect at a point that divides each diagonal into two equal parts. This property not only applies to rhombuses, but also to other types of quadrilaterals like parallelograms, due to their inherent symmetry.

Understanding this property is vital because the relationship between the diagonals and the sides of a rhombus aids in various geometric proofs and applications. Furthermore, since all sides are congruent, the opposite angles of a rhombus are equal, and the diagonals also act as axes of symmetry, dividing the rhombus into two congruent triangles.

In contrast, the other described properties do not hold true for a rhombus. For example, a rhombus does not necessarily have all right angles and it certainly cannot have only one set of sides that are congruent; rather, all sides are equal. Furthermore, a rhombus has two pairs of parallel sides, contradicting the idea that it has no parallel sides.