Rhombus vs. Parallelogram: 6 Differences, Definition, Pros & Cons

In geometry, there are a lot of different kinds of quadrilaterals, like parallelograms, rhombuses, squares, rectangles, trapeziums, and kites. They all have similar features that make them hard to understand.

A rhombus is also called a slanted square with equal sides on each side next to it. On the other hand, a parallelogram is a slanted rectangle with two sets of parallel sides that go in opposite directions.

The main difference between a rhombus and a parallelogram is that all of the sides of a rhombus are the same length, while the sides of a parallelogram are parallel. A rhombus is a figure with curved lines, while a parallelogram is a figure with straight lines.

Definition of Rhombus

A rhombus is a four-sided shape with equal-length sides. It is flat and has four sides. The sides that face each other are parallel (see figure given below).

The angles on each side of a rhombus are equal, or of the same degree. Its diagonals meet at right angles (90 degrees), so they are perpendicular to each other and make two triangles with equal sides.

Its sides that touch are complementary, which means that when you add them up, they add up to 180 degrees. It is also called a parallelogram with equal sides.

Rhombus vs. Parallelogram

Definition of Parallelogram

A parallelogram, as the name suggests, is a flat shape with four sides, two of which are parallel to each other and have the same length (see figure given below).

The measures of its angles that face each other are the same, and the measures of its angles that are next to each other are the same.

This means that the sum of their measurements is 180 degrees. Its diagonals meet, making two triangles that are the same shape.

Rhombus vs. Parallelogram Comparison Table

StructureRhombusParallelogram
Length of SidesThe length of all 4 sides is the same.The length of only opposite sides is the same.
Parallel SidesThe pair of opposite sides are parallel.Both pairs have parallel opposite sides.
Diagonals IntersectionThe 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 BisectionThe diagonals of a Rhombus bisect them into two equal halves.The diagonals of a Parallelogram always bisect each other into equal halves.
Internal AnglesThe 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 DiagonalsThe 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 Similarities Explained

  • Both of these quadrilaterals have opposite sides that are the same length.
  • Both of these four-sided shapes have two sides that are parallel to each other.
  • Both of these buildings have equal angles that are at right angles to each other and add up to 180 degrees.
  • A rhombus or parallelogram can be thought of as a square when all four sides are the same length and all angles are 90 degrees.

Differences Between a Rhombus and a Parallelogram You Should Know

A parallelogram is a four-sided shape with parallel sides on two of the sides. Also, because the lines going in opposite directions are parallel, the angles going in opposite directions are also the same.

A rhombus, on the other hand, is a parallelogram with equal sides. It is a figure with four sides that are all the same length. This is something that a square and a rhombus share.

The difference between the two is that all of a square’s angles are 90 degrees, while only the opposite angles of a rhombus are 90 degrees.

Still, a rectangle is different from a rhombus in one important way: the opposite angle in a rectangle is 90 degrees, while the angles in a rhombus are not 90 degrees. They have different points of view.

So, every parallelogram is a rhombus, but every rhombus is not a parallelogram.

Some people call a rhombus a lozenge or a diamond.

Rhombus or Parallelogram for Usage

Rhombus for Usage

A rhombus should be used when all four sides of a quadrilateral must be equal and a pair of scalene triangles with the diagonal intersection is needed.

Parallelogram for Usage

When only two of the four sides of a quadrilateral need to be equal and parallel, and we need two triangles that are the same and meet at the diagonal, we can use a parallelogram.

Conclusion

Both the parallelogram and the rhombus are four-sided shapes with parallel sides, equal angles on opposite sides, and a total of 360 degrees for the interior angles.

A rhombus is itself a type of parallelogram. So, every parallelogram is a rhombus, but every rhombus is not a parallelogram.

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, a rhombus should have four equal and parallel sides.

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

All four sides of a parallelogram don’t have to be equal and run in the same direction.

Rhombus vs. Parallelogram

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

Yes, all of a rhombus’ opposite sides should be the same length and line up.

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

Yes, all of a parallelogram’s opposite sides should be the same length and line up with each other.

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

The diagonals of a rhombus do cut through each other, but not always at a 90-degree angle.

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

Yes, there is always a right angle where the diagonals of a parallelogram meet. That is, it’s a right angle.

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

When the diagonals of a rhombus meet, they make two scalene triangles.

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

When the diagonals of a parallelogram meet, they make two triangles that are the same.

Can a Rhombus be considered a Parallelogram?

Yes, because a rhombus is an example of a parallelogram, it is always a parallelogram.

Can a Parallelogram be considered a Rhombus?

No, a parallelogram is not always a rhombus because its four sides are not always the same length.

Which is a parent structure, Rhombus or Parallelogram?

A parallelogram is the structure that both a rhombus and a parallelogram come from, but a rhombus is only made from a parallelogram.

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