Question

prove that all sides of rhombus are equal​

Answer 1

If the diagonals of a quadrilateral bisect all the angles, then it's a rhombus (converse of a property). If the diagonals of a quadrilateral are perpendicular bisectors of each other, then it's a rhombus (converse of a property).

Answer 2

Answer:

If the diagonals of a quadrilateral bisect all the angles, then it's a rhombus (converse of a property). If the diagonals of a quadrilateral are perpendicular bisectors of each other, then it's a rhombus (converse of a property)

Given :

A rhombus ABCD such that AB = BC.

To prove :

AB=BC=CD=DA.

Proof :

Since ABCD is a rhombus.

Therefore, ABCD is a parallelogram.

⟹AB=CD and BC=AD

But, AB=BC

Therefore, AB=BC=CD=AD

Hence, all the four sides of a rhombus are equal.

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