Rhombus Diagonal Properties: Investigating Equal Length Possibilities

To solve this problem, let's review the properties of a rhombus:

• A rhombus is a type of quadrilateral with all sides of equal length.
• The diagonals of a rhombus bisect each other at right angles.
• The diagonals of a rhombus do not generally have equal lengths.

However, there is a special case of a rhombus where the diagonals are equal, and this is when the rhombus is a square.

A square is a specific type of rhombus where not only are all sides equal, but also all internal angles are 90 degrees. In such a case, the diagonals are equal, and they also bisect each other at right angles. Therefore, in a square, which is a rhombus, the diagonals are equal.

Therefore, in conclusion, a rhombus can have diagonals that are equal if it is a square.

The correct answer to the problem is: Yes.