Rhombus vs Square Properties: Analyzing Geometric Equivalence

To determine if every rhombus is also a square, we begin by examining the definitions of these two shapes:

• A rhombus is defined as a quadrilateral where all four sides have equal length.
• A square is defined as a quadrilateral where all four sides are equal in length and all four angles are right angles (90 degrees).

With these definitions in mind, it is clear that:

• While every square is a rhombus because it has equal side lengths, not all rhombuses have right angles in all four corners.
• A rhombus can have any configuration of angles as long as the opposite angles are equal.
• Therefore, a rhombus does not necessarily satisfy the condition of having four right angles required to be a square.

Consequently, not every rhombus is a square: a square is a special type of rhombus.

Therefore, the solution to the problem is Not true.