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.
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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. The opposite faces of a parallelogram are parallel so that the opposite angles of the shape are also equal. But in rhombus, all the four sides are of equal measure. 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.
Definition of Rhombus and Parallelogram
Rhombus: A rhombus is a flat-shaped quadrilateral and it has four sides which are of equal measures. The opposite sides of a rhombus 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 considered as a parallelogram but the converse is always not true.
Parallelogram: A parallelogram is a flat-shaped figure. It has four sides. The pair of opposite faces/sides of a parallelogram are parallel and congruent to each other. The diagonals bisect each other and form two congruent triangles.
What are the Differences Between Rhombus and Parallelogram?
Let us discuss some of the key differences between rhombus and parallelogram below:
S.No |
Rhombus |
Parallelogram |
1 | Rhombus is a flat-shaped figure, where all four sides are congruent to each other | A parallelogram is a flat-shaped figure, in which the opposite sides of the shape 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 a 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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Frequently Asked Questions on Difference Between Rhombus and Parallelogram
Mention the key difference between the rhombus and parallelogram.
In a rhombus, all the four sides are equal and the diagonals do not bisect each other, whereas in a parallelogram, the opposite sides are equal and the diagonals bisect each other.
Does a rhombus have square corners?
We know that both the quadrilateral square and rhombus have 4 sides. We can say that a square is always a rhombus, but the reverse of this case is not true. A rhombus cannot have square corners, as the angles of a rhombus are not right angles.
Which quadrilateral is not a rhombus?
If a quadrilateral with only one pair of parallel sides, then the quadrilateral is definitely not a rhombus.
Can we say trapezium is a parallelogram?
No, the trapezium is not a parallelogram. We know that parallelogram has two pairs of parallel sides, whereas a trapezium has only one pair of parallel sides
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