In Geometry, a quadrilateral is a four-sided polygon. The different quadrilaterals are square, rectangle, rhombus, parallelogram, kite, trapezium which have some similar characteristics. But these shapes are different from each other because of their few properties. In this article, let us discuss the difference between rhombus and parallelogram in detail.
Is Rhombus and Parallelogram Same?
It is known that both the rhombus and the parallelogram are considered as the quadrilateral as they have four sides. In a parallelogram, the opposite sides are parallel, so that the opposite angles are also equal. But in rhombus, all the four sides are equal. Similarly, diagonals of a rhombus intersect each other whereas the diagonals of the parallelogram do not intersect at each other. By taking many properties of rhombus and parallelogram in an account, both the two-dimensional shapes are not the same. A rhombus might be considered as the subset of the shape parallelogram.
What is Rhombus?
A rhombus is a flat-shaped quadrilateral and it has four sides which are of equal measures. The facing sides are parallel to each other and they are congruent to each other. The diagonals of the rhombus meet each other at the right angle and form a scalene triangle. The opposite angles are equal. However, if all the angles of a rhombus are 90 degrees then the rhombus is termed as a square. Also, every rhombus is a parallelogram but the converse is not true.
What is a parallelogram?
A parallelogram is a flat-shaped figure. It has four sides. The set of opposite sides are parallel and congruent to each other. The diagonals bisect each other and form two congruent triangles.
Key Differences Between Rhombus and Parallelogram
Let us discuss some of the key differences between rhombus and parallelogram below:
|1||Rhombus is a flat-shaped figure, where all four sides are congruent to each other||A parallelogram is a flat-shaped figure, whose opposite sides are parallel to each other|
|2||All the four sides are equal||Opposite sides are of equal measure|
|3||Area of Rhombus is ab/2, where a and b are diagonals||Area of a parallelogram is bh, where b and h are base and height|
|4||The perimeter of a rhombus is given by p = 4s, where “s” is side||The perimeter of a parallelogram is given by, p = 2(a+b), where “a” is side and b is base|
|5||Diagonals bisect each other at right angles and form a scalene triangle||Diagonals bisect each other and form congruent triangles|
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