What is the Difference Between Parallelogram and Rhombus?
🆚 Go to Comparative Table 🆚The main difference between a parallelogram and a rhombus is the equality of their sides. Both shapes are classified as quadrilaterals, meaning they have four sides. Here are the key differences between the two:
- Parallelogram: A parallelogram is a four-sided polygon with opposite sides parallel and equal in length. The parallel sides result in equal opposite angles.
- Rhombus: A rhombus is a four-sided polygon with all four sides equal in length. In a rhombus, the diagonals bisect each other at 90 degrees.
While all rhombuses are parallelograms, not all parallelograms are rhombuses. This is because a rhombus has the additional property of having equal side lengths, which is not a requirement for a parallelogram.
On this pageWhat is the Difference Between Parallelogram and Rhombus? Comparative Table: Parallelogram vs Rhombus
Comparative Table: Parallelogram vs Rhombus
Here is a table comparing the differences between a parallelogram and a rhombus:
Feature | Parallelogram | Rhombus |
---|---|---|
Definition | A parallelogram is a flat-shaped figure, in which the opposite sides are parallel to each other. | A rhombus is a four-sided two-dimensional quadrilateral with all its four sides equal in lengths. |
Sides | Opposite sides are of equal measure. | All four sides are equal. |
Diagonals | Diagonals bisect each other and form congruent triangles. | Diagonals bisect each other at right angles and form a scalene triangle. |
Area | The area of a parallelogram is given by the formula: bh, where b is the base and h is the height. | The area of a rhombus is given by the formula: ab/2, where a and b are diagonals. |
Perimeter | The perimeter of a parallelogram is given by the formula: p = 2(a+b), where a is a side and b is the base. | The perimeter of a rhombus is given by the formula: p = 4s, where s is a side. |
A rhombus is considered a special kind of parallelogram, as it meets all the criteria for a parallelogram while also having all four sides equal in length.
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