**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**:

Opposite Sides | Equal opposite sides |

Diagonals Bisection | Parallelogram bisect each other equally |

Diagonals Intersection | Rhombus intersect at 90 degrees |

Parent Structure | Parallelogram is the parent structure |

Table of Contents

## 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.

## 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 vs. Parallelogram Comparison Table

Structure | Rhombus | Parallelogram |
---|---|---|

Length of Sides | The length of all 4 sides is the same. | The length of only opposite sides is the same. |

Parallel Sides | The pair of opposite sides are parallel. | Both pairs have parallel opposite sides. |

Diagonals Intersection | The diagonals of a Rhombus always intersect each other at 90 degrees angle. | The diagonals of a parallelogram may or may not intersect at 90 degrees angle. |

Diagonals Bisection | The diagonals of a Rhombus bisect them into two equal halves. | The diagonals of a Parallelogram always bisect each other into equal halves. |

Internal Angles | The opposite angles of a Rhombus are always equal, and the sum of these opposite angles is always 180 degrees. | In the case of a parallelogram also, the opposite angles are always equal, and the sum of these opposite angles is always 180 degrees. |

Triangle Formation Type by Diagonals | The diagonals of a rhombus form a pair of scalene triangles while they bisect each other. | In the case of a parallelogram, the diagonals form a pair of congruent triangles while they bisect each other. |

## Rhombus vs. Parallelogram Pros and Cons

## 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.

### 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.

Basis | Rhombus | Parallelogram |
---|---|---|

All Sides | All sides of a rhombus are equal. | All sides of a parallelogram may or may not be equal. |

Diagonals Bisection Angle | The diagonals of a rhombus bisect each other at 90 degrees angle. | The diagonals of a parallelogram bisect each other but may or may not form a 90 degrees angle during bisection. |

Diagonal Triangle | For a rhombus, the triangle formed by the intersection of both diagonals is a scalene triangle. | For a parallelogram, the triangle formed by the intersection of both diagonals is a congruent triangle. |

## 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.

## 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

## Comparison Video

## 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

### Which is a parent quadrilateral Rhombus or Parallelogram?

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.