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

Edited by Janet White || By Harlon Moss || Published on February 8, 2024
A rhombus is a parallelogram with all sides equal, while a trapezoid is a quadrilateral with only one pair of parallel sides.

## Key Differences

A rhombus is a special type of parallelogram where all four sides are of equal length, creating a diamond-like shape. In contrast, a trapezoid, known as a trapezium outside North America, is defined by having only one pair of parallel sides, giving it a unique, uneven shape.
The angles in a rhombus can be varied but opposite angles are always equal, and adjacent angles are supplementary. In a trapezoid, the angles are not necessarily equal or supplementary, except in specific cases like the isosceles trapezoid.
Diagonals of a rhombus bisect each other at right angles and are of different lengths unless it's a square. The diagonals of a trapezoid do not necessarily bisect each other at right angles and can be of any length, depending on the trapezoid's shape.
In terms of symmetry, a rhombus has both line and rotational symmetry, making it a highly symmetric figure. A trapezoid typically has only one line of symmetry if it's isosceles but lacks rotational symmetry.

## Comparison Chart

### Definition

A parallelogram with all sides equal
A quadrilateral with only one pair of parallel sides

### Angles

Opposite angles equal, adjacent supplementary
Angles not necessarily equal or supplementary

### Diagonals

Bisect each other at right angles
Do not necessarily bisect each other at right angles

### Symmetry

Has line and rotational symmetry
Typically one line of symmetry, no rotational symmetry

### Area Formula

1/2 × (product of diagonals)
1/2 × (sum of parallel sides) × height

## Rhombus and Trapezoid Definitions

#### Rhombus

A rhombus is a four-sided shape with all sides of equal length.
The rhombus in the diagram had equally long sides, forming a diamond shape.

#### Trapezoid

Trapezoid, a four-sided figure, can have one line of symmetry if isosceles.
The isosceles trapezoid in the book had a single line of symmetry.

#### Rhombus

A rhombus is characterized by diagonals that bisect at right angles.
The diagonals in the rhombus intersected at a perfect 90-degree angle.

#### Trapezoid

A trapezoid is a quadrilateral with only one pair of parallel sides.
The students identified the trapezoid by its one set of parallel sides.

#### Rhombus

Rhombus, a type of parallelogram, has opposite equal angles.
The children learned that in a rhombus, each pair of opposite angles is equal.

#### Trapezoid

Trapezoid, a geometric shape, lacks equal side lengths and angles.
In the drawing, the trapezoid had sides and angles of different lengths and degrees.

#### Rhombus

Rhombus is a geometric figure with four equal sides but not necessarily right angles.
The rhombus on the flag had equal sides but wasn't a square.

#### Trapezoid

A trapezoid is characterized by having two non-parallel sides.
The trapezoid's non-parallel sides sloped at different angles.

#### Rhombus

A rhombus is a quadrilateral with all sides equal in length.
The artist drew a perfect rhombus, ensuring all sides were identical in length.

#### Trapezoid

A trapezoid is a quadrilateral distinct for its single set of parallel sides.
The architect used a trapezoid shape for the window, emphasizing its unique parallel sides.

#### Rhombus

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

#### Trapezoid

A quadrilateral having two parallel sides.

#### Rhombus

(geometry) A parallelogram having all sides of equal length.

#### Trapezoid

Chiefly British A trapezium.

#### Rhombus

The rhombus diamond, as one of the suits seen in a deck of playing cards (♦ or ♦).

#### Trapezoid

(Anatomy) A small bone in the wrist, situated near the base of the index finger.

#### Rhombus

In early Greek religion, an instrument whirled on the end of a string similar to a bullroarer.

#### Rhombus

Any of several flatfishes, including the brill and turbot, once considered part of the genus Rhombus, now in Scophthalmus.

#### Rhombus

Snails, now in genus Conus or family Conidae.

#### Rhombus

Same as Rhomb, 1.

#### Rhombus

A parallelogram with four equal sides; an oblique-angled equilateral parallelogram

## FAQs

#### Are all sides of a rhombus equal?

Yes, all sides of a rhombus are of equal length.

#### Can a rhombus be a square?

Yes, a rhombus with right angles is a square.

#### Does a trapezoid always have right angles?

No, a trapezoid does not necessarily have right angles.

#### What is a rhombus?

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

#### What makes a trapezoid different from a parallelogram?

A trapezoid has only one pair of parallel sides, unlike a parallelogram which has two.

#### How is the area of a trapezoid calculated?

By multiplying half the sum of its parallel sides by the height.

#### Are the opposite angles of a rhombus equal?

Yes, opposite angles of a rhombus are always equal.

#### What is a trapezoid?

A trapezoid is a quadrilateral with only one pair of parallel sides.

#### How are the diagonals of a rhombus positioned?

The diagonals of a rhombus bisect each other at right angles.

#### Can a trapezoid have equal sides?

An isosceles trapezoid can have two equal non-parallel sides.

#### Do the diagonals of a trapezoid bisect each other at right angles?

Not necessarily, it depends on the specific shape of the trapezoid.

#### What defines an isosceles trapezoid?

An isosceles trapezoid has non-parallel sides that are equal in length.

#### Is a rhombus always symmetrical?

Yes, a rhombus has both line and rotational symmetry.

#### Can a rhombus be a rectangle?

If the angles are right angles, then it's both a rhombus and a rectangle, specifically a square.

#### Is a trapezoid considered a regular polygon?

No, a trapezoid is not a regular polygon as its sides and angles are not all equal.

#### How do you calculate the area of a rhombus?

By multiplying half the product of its diagonals.

#### Do all rhombuses look like diamonds?

They often resemble a diamond shape, but this can vary based on the angles.

#### Are the bases of a trapezoid always horizontal?

In typical representations, yes, but in general, the orientation doesn't define a trapezoid.

#### Can a rhombus have unequal diagonals?

Yes, the diagonals of a rhombus are usually unequal unless it's a square.

#### What type of symmetry does a trapezoid have?

An isosceles trapezoid has one line of symmetry; a regular trapezoid typically does not have rotational symmetry.