Difference Between Rhombus and Parallelogram

A quadrilateral with opposite sides parallel (or equal opposite angles) is known as a parallelogram. A rhombus is a special kind of parallelogram will all its 4 sides equal. However, if all the angles of a rhombus are 90 degrees then the parallelogram is termed as a square. Also, every rhombus is a parallelogram but the converse is not true.

What are major Differences Between Rhombus and Parallelogram?

Each diagonal of a rhombus bisect the 2 opposite sides of the interior angles. If PQRS is a Rhombus with standard point A, then, it forms 4 congruent triangles PQA, QRA, RSA, and PSA. In terms of equation a Rhombus can be expressed as (x/p) + (y/q) = 1.

However, the diagonals of a parallelogram must bisect each other. The area of a parallelogram can be determined as K = breadth.height. Both Rhombus and Parallelogram have 2 acute and 2 obtuse angles. In case of a parallelogram, there will be 2 pairs of parallel lines while Rhombus has two pairs of equal length.

Practise This Question

Hari was asked to bisect a given angle, BOA as shown. He has done the following steps:

He draws an arc with centre O and some radius such that it cuts OB and OA in D and C. Then he marks two more arcs with centres as C and D and radius more than 12 CD as shown (intersecting in Y) but has no idea why.

Select the correct statement which explains him the reason.

Statement A : Because of equal radius, DY = CY and OD = OC. So DOY is congurent to COY

Statement B : Since OC = OD, ODC in an isosceles triangle, base angles are equal.