# Rhombus vs. Parallelogram: What’s The Difference Between A Rhombus And A Parallelogram?

What's the difference between a rhombus and a parallelogram? Both shapes have four sides, but that's about where the similarities end. Here we compare the two shapes, looking at the pros and cons of each. Rhombus vs. Parallelogram: a rhombus is a quadrilateral with 4 sides and 4 corners where all these 4 sides have equal length and all their diagonals equally intersect each other at 90 degrees angle, whereas a parallelogram is again a quadrilateral with 4 edges and 4 sides where it may or may not have all these 4 sides equal, but their diagonals bisect each other in equal halves.

Let’s have a closer outlook towards Rhombus versus Parallelogram:

## What is Rhombus? A rhombus is a 2-dimensional geometrical structure. It is a quadrilateral with 4 sides where both pairs of opposite sides are equal in length and parallel in nature. Sometimes it is also denoted as a diamond or a rhombus diamond.

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## What is Parallelogram? A parallelogram is a 2-dimensional geometrical quadrilateral with 4 sides where the pair of its opposite sides should be equal in length and parallel in nature. All 4 sides of a parallelogram may or may not be equal in length.

## Rhombus Pros & Cons ### Pros of a Rhombus Structure

• Rhombus has all 4 sides of equal length.
• Rhombus has both its pair of sides parallel to each other.
• The opposite angles of a rhombus are always equal.
• If we draw the diagonals of a rhombus, they will always bisect each other and also form a 90 degrees angle.
• Rhombus can be considered both as a parallelogram and as a square in special cases.
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### Cons of Rhombus Structure

• Rhombus cannot be considered a square unless all of its angles are 90 degrees.
• Rhombus cannot be considered as a traditional parallelogram if all 4 sides of the Rhombus are equal in length.
• In any case, the diagonals of a rhombus will form a right angle only.
• In any case, the diagonals of a rhombus will form 2 scalene triangles only.

## Parallelogram Pros & Cons ### Pros of Parallelogram Structure

• Parallelogram has its pair of opposite sides of equal length.
• Parallelogram has both its pair of sides parallel to each other.
• The opposite angles of a parallelogram are always equal.
• If we draw the diagonals of a rhombus, it will always bisect into equal halves.
• Parallelogram can be considered both as a rhombus and as a square in special cases.

### Cons of a Parallelogram Structure

• Parallelogram cannot be considered a rhombus unless the length of all of its 4 sides is equal.
• Parallelogram cannot be considered a traditional square if all 4 sides of the parallelogram are equal in length and all of its angles are 90 degrees.
• In any case, the diagonals of a parallelogram will bisect into two equal halves only.
• In any case, the diagonals of a parallelogram will form 2 congruent triangles only.

## Rhombus vs. Parallelogram Similarities Explained

• Both of these geometrical quadrilaterals have their pair of opposite sides equal.
• Both of these quadrilateral structures have their pair of opposite sides parallel.
• Both of these structures have their opposite angles equal and their sum equivalent to 180 degrees.
• Both Rhombus and Parallelogram can be considered as a square when all 4 of their sides are equal, and all the angles are equal to 90 degrees.

## 3 Key Differences Between a Rhombus and a Parallelogram You Should Know

There are some key differences when we compare a Rhombus with a Parallelogram.

## Rhombus vs. Parallelogram vs. Square

If we compare these three quadrilaterals, then we will come to know that a square is a special case of both a rhombus and a parallelogram, and a rhombus is a special case of a parallelogram provided that the said rhombus or parallelogram should have all sides equal in length and all angles as 90 degrees.

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## Rhombus or Parallelogram for Usage

### Rhombus for Usage

We should use a rhombus when there is a condition that all 4 sides of the quadrilateral should be equal, and we need a pair of scalene triangles with the diagonal intersection.

### Parallelogram for Usage

We should use a parallelogram when there is a condition that only the pair of opposite sides of the quadrilateral should be equal and parallel, and we need a pair of congruent triangles with the diagonal intersection.

## Comparison Chart ## The Final Words

Both rhombus and parallelogram are 2-dimensional geometric quadrilaterals with their opposite pair of sides equal and parallel in nature and also opposite pairs of equal angles. However, a parallelogram can be considered as a parent structure out of both rhombus and parallelogram. This is because a rhombus is a special case of a parallelogram where the parallelogram has all its 4 sides equal and parallel in nature. Hence, a rhombus can always be considered a parallelogram, but a parallelogram cannot always be considered a rhombus.

## Rhombus & Parallelogram FAQs

Parallelogram.

### Does a rhombus need to have all 4 sides equal and parallel always?

Yes, all 4 sides of a rhombus should be equal and parallel in nature.

### Does a parallelogram need to have all 4 sides equal and parallel always?

It is not mandatory in the case of a parallelogram to always have all 4 sides equal and parallel in nature.

### Does a rhombus always need to have its pair of opposite sides equal and parallel?

Yes, a rhombus should always have all its pair of opposite sides equal and parallel.

### Does a parallelogram always need to have its pair of opposite sides equal and parallel?

Yes, a parallelogram should always have all its pair of opposite sides equal and parallel.

### Do the diagonals of a rhombus always bisect each other at 90 degrees angle?

It is true that the diagonals of a rhombus bisect each other, but they may not bisect each other at 90 degrees angle always.

### Do the diagonals of a parallelogram always bisect each other at 90 degrees angle?

Yes, the diagonals of a parallelogram always bisect each other forming a right angle. i.e., 90 degrees angle.

### Which pair of triangles are formed by the diagonal intersection of a rhombus?

A pair of scalene triangles are formed by the diagonal intersection of a rhombus.

### Which pair of triangles are formed by the diagonal intersection of a parallelogram?

A pair of congruent triangles are formed by the diagonal intersection of a parallelogram.

### Can a Rhombus be considered a Parallelogram?

Yes, a rhombus can always be considered a parallelogram as it is a special case of a parallelogram.

### Can a Parallelogram be considered a Rhombus?

No, a parallelogram can’t always be considered a rhombus as it may not always have all of its 4 sides of equal length.

### Which is a parent structure, Rhombus or Parallelogram?

Out of Rhombus and Parallelogram, a parallelogram is the parent structure as a rhombus is a special case derived out of a parallelogram only.

#### Alex Stantor

Alex Stantor is a Sorbonne University (Paris, France) graduate in Philosophy and Data Analysis. Currently, he is an Author and Researcher at Difference 101, he writes articles/blog posts on topics such as "thinking differently" and "the importance of difference". Alex is a passionate advocate of diversity in the workplace and in companies, and diversity and inclusion in corporate communications. He currently lives in Brooklyn.

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