Question

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

Answer 1

Answer :-

No, if the diagonals of the quadrilateral are perpendicular to each other then the quadrilateral is not always a rhombus. It may be rectangle or square or anything.

Step-by-step explanation :-

We know the conditions of rhombus are :-

1. All the sides of rhombus should be equal.

2. Diagonals of rhombus should be perpendicular to each other.

3. Rhombus should be a parallelogram.

But As per the given Question,

Here, only "Diagonals of rhombus should be perpendicular to each other".

Hence, we can't say that the given quadrilateral are rhombus.

Answer 2

Step-by-step explanation:

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

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 quadrilateral are perpendicular to each other."

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