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.

Fill in the blanks, in each of the following, so as to make the statement true:

(i) A rhombus is a parallelogram in which _______.

(ii) A square is a rhombus in which _________.

(iii) A rhombus has all its sides of ______ length.

(iv) The diagonals of a rhombus _____ each other at ______ angles.

(v) If the diagonals of a parallelogram bisect each other at right angles, then it is a ______.

The diagonals of a parallelogram are not perpendicular. Is it a rhombus? Why or why not?

ABCD is a rhombus. If ∠ACB = 40°, find ∠ADB.

If the diagonals of a rhombus are 12 cm and 16 cm, find the length of each side.