Question

the diagonals of a square of the quadrilateral are perpendicular to each other is such a quadrilateral always a rhombus draw a figure to justify your answer​

Answer 1

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

it may be , \bf{square}, \bf{rectangle}

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.