Question

The diagonals of the quadrilateral are perpendicular to each other. Is such a quadrilateral
always a rhombus? Draw a rough figure to justify your answer.​

Answer 1

Answer:

No, if the diagonals of the quadirateral are perpendicular to each other then such quadirateral is not always a rhombus.

it may be , ,  

as you know conditions of rhombus

1. it should be parallelogram.

2. all sides should be equal.

3. diagonals are perpendicular to each other.

but here given only " diagonals of the quadirateral are perpendicular to each other."

hence, we can't say given quadirateral is always rhombus.