Math

Difference between Rhombus and parallelogram with examples

Just as the pyramid and the prism have differences, a rhombus, and a parallelogram also. They are very similar geometric figures with some differences between them. The basic difference between rhombus and parallelogram is that Rhombus has all 4 sides are equal while Parallelogram has opposite sides are equal in length.

Parallelogram

The rhombus is a quadrilateral with 4 sides and vertices. It is a parallelogram with four sides of equal length and diagonals that intersect perpendicularly.

A parallelogram is considered a rhombus if its sides are equal, the diagonals are perpendicular, and also are bisectors of the angles of the parallelogram.

In a rhombus, the line joining opposite vertices is an axis of symmetry.

The point of intersection of the diagonals is the center of the rhombus.

Parallelogram

It is a parallelogram that is not a rhombus or a rectangle. This parallelogram has two angles and with respect to its four sides, two and two are equal to each other.

For the followers of the Jorge Rey Pastor school, a rhomboid is that quadrilateral that has two pairs of equal consecutive sides.

Rhomboids have the following characteristics:

  • Two pairs of opposite angles are equal and parallel to each other.
  • Continuous angles are supplementary.
  • Its diagonals are not perpendicular.
  • It has two obtuse angles and 2 acute angles.
  • It has 4 vertices. The sum of all its interior angles in 360º.

Difference between Rhombus and parallelogram

  • A rhombus is a parallelogram with four sides of equal length whose diagonals intersect perpendicularly. The diagonals are bisectors of the angles of the rhombus.
  • A rhomboid is a parallelogram where two and two sides are equal, two angles are equal (acute), and two are obtuse and equal. The diagonals are not perpendicular to each other.
  • The similarities between both figures are that they are both parallelograms whose sum of their internal angles gives a total of 360º.

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