Difference between rhombus and parallelogram

Geometry
2023-05-06T09:59:34+00:00

Difference between rhombus and parallelogram

Introduction

In plane geometry, there are different geometric shapes such as triangles, squares, rectangles, rhombuses and parallelograms. All of them have characteristics and properties that make them unique and different from each other. In this article we are going to focus on the difference between the rhombus and the parallelogram.

Diamond

Un rhombus It is a polygon with four equal sides and two pairs of angles equal to each other. This means that, if we join its diagonals, they will intersect at a right angle. Furthermore, the major diagonal of the rhombus is perpendicular to the minor diagonal, so can use to calculate its area, which is equal to half the product of its diagonals.

  • 4 equal sides
  • 2 pairs of equal angles
  • Diagonals perpendicular to each other
  • Area = 1/2 x d1 x d2 (d1 and d2 are the diagonals)

Parallelogram

Un parallelogram It is a polygon with four opposite sides that are equal and parallel to each other. This means that, if we draw a line from one of its vertices to the opposite diagonal, this line will divide the parallelogram into two equal triangles. Its area is calculated as base x height.

  • 4 opposite sides equal and parallel to each other
  • Opposite angles have the same measure
  • Diagonals intersect at their midpoint
  • Area = base x height

Difference between rhombus and parallelogram

Both geometric figures have certain similarities, since both have four sides and two pairs of equal angles. However, the main difference between the two is that the rhombus has diagonals perpendicular to each other, while in the parallelogram the diagonals intersect at their midpoint.

Another difference is that a parallelogram has two sides equal and parallel opposites, while in the rhombus the four sides are equal.

In summary:

  • The rhombus has diagonals perpendicular to each other, while in the parallelogram they intersect at their midpoint.
  • The rhombus has four equal sides, while in the parallelogram only two opposite sides are equal.

In conclusion, although they may seem similar at first glance, the rhombus and the parallelogram are two different geometric figures with unique characteristics and properties that make them different from each other.

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