The shape is a rhombus if and only if the diagonals are perpendicular and the sides are congruent

The statement is True

Step-by-step explanation:

Rhombus is a quadrilateral with the following characteristics;

All sides are congruent by definition. The diagonals bisect the angles. The diagonals are perpendicular bisectors of each other. Adjacent angles are supplementary. All the four sides are equal.