A quadrilateral is a four-sided polygon in geometry. Square, rectangle, rhombus, parallelogram, and trapezium are examples of quadrilaterals with similar features. However, because of their limited features, these shapes differ from one another. Rhombus and parallelogram are quadrilaterals with similar shapes but distinct characteristics. Four vertices, four sides, and four angles make up a quadrilateral.
A rhombus is a quadrilateral with four equal sides that are congruent with each other, whereas a parallelogram is a quadrilateral with four opposite sides that are parallel to each other. Every rhombus is a parallelogram, but not the other side is Correct also.
Rhombus
A rhombus is a quadrilateral with equal length on all four sides. Slanting square is another name for rhombus. The scalene triangle is formed when the rhombus’ diagonals cross at 90 degrees.
The rhombus has the remarkable virtue of being regarded as a square if all of its sides are equal to 90 degrees. Although every rhombus is a parallelogram, not every parallelogram is a rhombus.
As both of them have four sides, both the rhombus and the parallelogram are classified as quadrilaterals. A parallelogram’s opposite faces are parallel, making the figure’s opposite angles equal. In a rhombus, however, all four sides are equal in length, whereas in a parallelogram, only two opposite sides are equal.
Properties of Rhombus
A rhombus’ internal angles are bisected by its diagonals
The adjacent sides of a rhombus are all the same length
A rhombus’ diagonals are at 90 degrees to one another
A Rhombus ABCD is depicted in the image above.
AB=BC=CD=DA, etc.
The diagonals AC and BD intersect each other at 90 degrees.
DCA Angle = BAC Angle
Parallelogram
A quadrilateral with four sides is called a parallelogram. A parallelogram’s opposite sides are congruent and parallel to one another. A rectangle differs from a parallelogram solely in that a rectangle has all of its angles be 90 degrees, whereas a parallelogram does not. When the diagonals of a parallelogram connect, two congruent triangles are created.
Properties of Parallelogram
A parallelogram’s diagonals cut each other in half or we can say bisect it
A parallelogram’s opposing angle is congruent
A parallelogram’s diagonals cut each other into two equal triangles
Parallelogram vs Rhombus
Rhombus and Parallelogram, in addition to being quadrilaterals, are two-dimensional shapes
Both the Rhombus and the Parallelogram have parallel opposite sides with equal opposite angles
The inner angles of both the Parallelogram and the Rhombus add up to 360 degrees
Although rhombus and parallelogram are very similar, they have some differences. A rhombus has four equal sides, whereas a parallelogram only has two equal sides.
Difference between Rhombus and Parallelogram
Sr. No | Rhombus | Parallelogram |
1. | A rhombus is a two-dimensional figure with parallel sides on all four sides. | A parallelogram is a two-dimensional figure with opposing sides that are only equal. |
2. | A rhombus’ area can be determined using the formula Area = d_{1}, d_{2}/2. The diagonals of a rhombus are represented by d_{1} and d_{2}. | Area=bh can be used to compute the area of a parallelogram. The base of the parallelogram is b, while the height is h. |
3. | All four sides are of the same length. | Only the lengths of opposite sides are equal. |
4. | A scalene triangle is formed when the diagonals of a rhombus connect at 90 degrees. | Congruent triangles are formed when the diagonals of a parallelogram intersect. |
5. | Every Rhombus is a Parallelogram | Every Parallelogram is not a Rhombus |
6. | The word rhombus comes from the Latin word. | A Greek word gave rise to the name parallelogram. |
Conclusion
The opposite sides of a parallelogram are equal, but all four sides of a rhombus are equal.
The diagonals of a parallelogram bisect each other, whereas the diagonals of a rhombus do not. The diagonals of a rhombus connect at right angles and are hence perpendicular to each other. In the case of a parallelogram, this is not the case.
A parallelogram’s angles can be 90 degrees, but a rhombus’ angles can never be 90 degrees. A rhombus can be regarded as a subset of a parallelogram.