Last modified on August 3rd, 2023

chapter outline


Difference between Square and Rhombus

Both squares and rhombuses are special parallelograms.

A square is a quadrilateral with 4 equal sides and 4 interior right angles.

A rhombus is a quadrilateral with 4 equal sides with 2 pairs of parallel opposite sides and equal opposite angles.

Square vs Rhombus

Difference Between Square and Rhombus

Although squares and rhombuses are parallelograms, they have some differences. Let us learn how a rhombus is different from a square.


SidesAdjacent sides are perpendicular to each otherAdjacent sides are not perpendicular to each other
Interior anglesAll the angles are equal
All angles are right angles
Only the opposite angles are equal
All angles are not right angles
Lines of symmetry4 lines of symmetry2 lines of symmetry
Inscription in a circleIt can be inscribed in a circleIt cannot be inscribed in a circle
FormulasArea (A) = a2 ,here a = side
Perimeter (P) = 4a
Area (A) = (d1 × d2)/2, here d1 and d2 are the diagonals
Perimeter (P) = 4s ,here s = side

Besides the differences, they also share some similarities as given below:


  1. Quadrilaterals
  2. Diagonals are mutually perpendicular bisectors
  3. The Sum of interior angles is 360°
  4. Opposite sides are parallel
  5. All sides are equal in length

Is a Square a Rhombus

YES. A square is a rhombus.

A square satisfies all the properties of a rhombus.

A square has 4 equal sides. It has equal diagonals that are perpendicular bisectors. The opposite sides of a square are equal and parallel and the opposite angles are also equal.

So, is a square always a rhombus?

YES. A square is also a rhombus because it will always have 4 interior right angles as a fixed property. So every square is a rhombus.

Now let us think the other way round. Is a rhombus a square?

NO. Then what is the difference between a square and a rhombus?

The key difference between a square and a rhombus is that the interior angles of a rhombus may vary. Thus, a rhombus is not always a square.

So when is a rhombus a square?

Every rhombus with four right angles is a square.

Therefore, all squares are rhombuses, but all rhombuses are not squares.

Last modified on August 3rd, 2023

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