Question

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

Answer 1

Answer:

I cant draw but can tell you rhombus have all sides equal ..... thank you...

Answer 2

Answer:

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}square , \bf{rectangle}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.