What is the difference between a rhombus and a square?

Difference between Rhombus and Square

Let's break down the differences between a rhombus and a square. Both are quadrilaterals with four equal sides, but the key distinction lies in their angles and diagonals.

Square:

• All four sides are equal in length.
• All four interior angles are right angles (90 degrees).
• The diagonals are equal in length and bisect each other at right angles.
• The diagonals bisect the angles of the square.

Rhombus:

• All four sides are equal in length.
• Opposite interior angles are equal.
• Adjacent interior angles are supplementary (add up to 180 degrees).
• The diagonals are not necessarily equal in length.
• The diagonals bisect each other at right angles.
• The diagonals bisect the angles of the rhombus.

Summary:

A square is a special type of rhombus where all angles are right angles. Therefore, every square is a rhombus, but not every rhombus is a square.

Answer: A square has four right angles, while a rhombus only requires opposite angles to be equal. All squares are rhombuses, but not all rhombuses are squares.