# Rhombus vs. Square: What's the Difference?

Edited by Janet White || By Harlon Moss || Updated on October 27, 2023
A rhombus is a four-sided shape with equal sides, while a square is a rhombus with all right angles.

## Key Differences

A rhombus is a type of quadrilateral, which means it has four sides. The defining characteristic of a rhombus is that all four of its sides are of equal length. It does not necessarily have right angles, and its opposite angles are equal. Essentially, if you take a square and tilt it, you can produce a rhombus. A rhombus can look like a "slanted" square, but its angles are not restricted to 90 degrees, allowing for more variability in its shape.
In contrast, a square is also a quadrilateral and is a specific type of rhombus. Not only are all its sides equal in length, like a rhombus, but all its angles are right angles. This combination of equal sides and right angles makes the square a regular quadrilateral, signifying symmetry in both its sides and angles. It's a shape that's as wide as it is tall, given its perfect right angles.
While every square is a rhombus due to its equal-length sides, not every rhombus is a square. The distinguishing factor lies in the angles. If a rhombus has right angles, it graduates to the category of a square. Otherwise, it remains simply a rhombus. It's similar to how every square is a rectangle, but not every rectangle is a square.
The real-world implications of these distinctions can be seen in various applications. For example, in design and architecture, the choice between a rhombus and square can impact aesthetics and structural integrity. While the rhombus offers a dynamic, perhaps unconventional shape, the square provides a sense of stability and uniformity.

## Comparison Chart

### Definition

Quadrilateral with all sides of equal length
Quadrilateral with all sides equal and all angles right

### Angles

Not necessarily right angles
Always right angles (90°)

### Sides

All sides are equal
All sides are equal

### Diagonals

Bisect opposite angles; not necessarily equal
Bisect angles and are equal in length

### Regularity

Not regular (unless it's a square)

## Rhombus and Square Definitions

#### Rhombus

A quadrilateral with no right angles but sides of identical length.
The child identified the rhombus among various shapes presented.

#### Square

A shape with four right angles and equal-length sides.
He outlined a square on the ground for the game.

#### Rhombus

A four-sided shape where opposite sides are parallel and all sides are congruent.
The logo was shaped like a rhombus, tilting slightly to the right.

#### Square

A flat shape with four 90° angles and congruent sides.
The park was shaped like a large square, with trees on all sides.

#### Rhombus

A parallelogram with all four sides of equal length.
She drew a rhombus on the board to demonstrate its slanted sides.

#### Square

A regular quadrilateral with symmetrical dimensions.
She loved the simplicity and symmetry of a square.

#### Rhombus

A slanting square with equal sides but varying angles.
He noticed that pushing the top of a square created a rhombus.

#### Square

A geometric figure that is both a rhombus and a rectangle.
Among the shapes, the square stood out due to its regularity.

#### Rhombus

A diamond-shaped figure with congruent sides.
She wore a pendant in the shape of a rhombus.

#### Square

A polygon having four equal sides and four equal angles.

#### Rhombus

An equilateral parallelogram, especially one having oblique angles. Also called rhomb.

#### Square

A rectangle with all sides and angles equal.
The artist painted a perfect square on the canvas.

## FAQs

#### How does a square differ from other quadrilaterals?

A square has equal sides and all right angles, making it a regular quadrilateral.

#### What is a rhombus?

A rhombus is a four-sided shape where all sides are of equal length.

#### How do the diagonals of a rhombus behave?

In a rhombus, diagonals bisect opposite angles and are perpendicular but not necessarily equal.

#### Can a rhombus have right angles?

Yes, when a rhombus has right angles, it is called a square.

#### Do squares and rhombi have the same perimeter for the same side length?

Yes, given the same side length, both have the same perimeter.

#### What's a distinguishing feature of a square?

A square's distinguishing feature is its right angles combined with equal sides.

#### Are all rhombi symmetrical?

No, only when a rhombus is also a square is it fully symmetrical.

#### Can a rhombus be a square?

Yes, when the rhombus has all right angles, it is a square.

#### What's the significance of a square in geometry?

The square is significant due to its regularity and is a foundation for various geometric concepts.

#### What makes the square a foundational geometric shape?

Its regularity and the principles derived from it make the square foundational in geometry.

#### Why is a square considered regular?

A square is regular because both its sides and angles are congruent.

#### What shapes evolve from tilting a square?

Tilting a square can produce a rhombus.

#### Why is the square used as a standard for area measurement?

Due to its regular shape, the square provides a consistent standard for measuring area.

#### How do the sides of a rhombus compare to a square?

Both rhombus and square have equal-length sides.

#### Are there practical applications where choosing between a rhombus and square matters?

Yes, in design, architecture, and engineering, the choice can impact aesthetics and structure.

#### Is every square a rhombus?

Yes, every square is a rhombus, but not vice versa.

#### How do diagonals in a square differ?

In a square, diagonals are equal in length, bisect angles, and are perpendicular.

#### Do rhombi always look like slanted squares?

Not always; rhombi can have varied angles but always have equal sides.

#### How can I turn a square into a rhombus?

By pushing or tilting one of its angles, a square can become a rhombus.

#### Can a shape be both a rectangle and a rhombus?

Yes, that shape is called a square.