# Why is a square always a rhombus, but a rhombus is not always a square?

It is important to work with definitions first.

A parallelogram is a quadrilateral with two pairs of opposite sides parallel. A rhombus is a parallelogram with equal sides A square is a rhombus with all the angles equal (to 90°).

Students often make the mistake of defining a rhombus as "A rhombus is a square pushed over." It would be better to say that a square is a rhombus pushed up straight.

A rhombus does NOT have all the properties of a square, therefore is not a special kind of square.

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A square is always a rhombus because it meets the definition of a rhombus, which is a quadrilateral with all sides of equal length. However, a rhombus is not always a square because it does not necessarily have all interior angles of 90 degrees, which is a defining characteristic of a square.

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