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Guilherme Mazui

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What is the Difference Between Parallelogram and Rhombus?

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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.

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  • What 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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    Guilherme Mazui

    Guilherme Mazui is graduated in journalism from the Federal University of Minas Gerais (UFMG) and a master's degree in Communication from the University of São Paulo (USP). In addition, he has experience in advertising writing and has worked as a content editor in several companies.