When Are Rhombi Squares?

If you have a rhombus with four equal interior angles, you have a square. A square is a special case of a rhombus, because it has four equal-length sides and goes above and beyond that to also have four right angles.

When can a rectangle be a square?

Definition of a Square:

As you can see the first part of the definition of a square and rectangle are the same. However, a square is a special case of a rectangle. When all 4 sides of a rectangle are equal then the rectangle is a square. So, a rectangle can also sometimes be a square.

Why are Rhombi not squares?

All the sides are equal. All the angles are equal to 90°. The diagonals are equal. A rhombus does NOT have all the properties of a square, therefore is not a special kind of square.