The diagonals of a quadrilateral are perpendicular to each other. Is such a quadrilateral always a rhombus? If your answer is 'No', draw a figure to justify your answer.

Open in App

Solution

No, it is not so.
Diagonals of a rhombus are perpendicular and bisect each other. Along with this, all of its sides are equal. In the figure given below, the diagonals are perpendicular to each other, but do not bisect each other.

Suggest Corrections

Similar questions

The quadrilateral formed by joining the midpoints of the sides of a quadrilateral ABCD, taken in order, is a rhombus, if

(a) ABCD is a parallelogram

(b) ABCD is a rhombus

(d) diagonals of ABCD are perpendicular to each other

Is quadrilateral ABCD a rhombus?

I. Quadrilateral ABCD is a ||gm.

II. Diagonals AC and BD are perpendicular to each other.

The correct answer is: (a)/(b)/(c)/(d).

Join BYJU'S Learning Program