Is quadrilateral ABCD a rhombus ?
I. Quadrilateral ABCD is a ||gm.
II. Diagonals AC and BD are perpendicular to each other.

Options

A. if the question can be answered by one of the given statements alone and not by the other,
B. if the quesiton can be answered by either statement alone,
C. if the question can be answered by both the statements together but not by any one of the two,
D. if the question cannot be answered by using both the statements together.

Answer

C

Explanation

Clearly, I alone is ot sufficient to answer the given quesiton.
Also, II alone is not sufficient to answer the given question.
But, both I and II together will give the answer.
`therefore ` the correct answer is (c ) .