Differences between Parallelogram and Rhombus

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

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.