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

##### 1 Answer

It is important to work with definitions first.

#### Explanation:

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.

In a

A square has all the properties of a rhombus, with more properties -

In a

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