A parallelogram whose all sides are equal opposite angles are equal opposite sides are parallel is called a rhombus. Why? Why not square?

Given :

It is given that opposite angles are equal and opposite sides are parallel.

To do :

We have to show that the given parallelogram is rhombus, not a square.

Solution : 

We know that in a square all the angles are equal to 90°. In the given information it is not mentioned whether the angles are equal to 90° or not.

Therefore, a parallelogram whose all sides are equal opposite angles are equal opposite sides are parallel is a rhombus. 

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Updated on: 10-Oct-2022

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