Question

Three statements are given below:

I. In a rectangle ABCD, the diagonal AC bisects $\angle A$ as well as $\angle C$.

II. In a square ABCD, the diagonal AC bisects $\angle A$ as well as $\angle C$.

III. In a rhombus ABCD, the diagonal AC bisects $\angle A$ as well as $\angle C$.

Which is true?

(a) I only

(b) II and III

(c) I and III

(d) I and II

Answer 1

ANSWER:
(b) II and III
Clearly, statements II and III are true. Statement I is false, as diagonal of a rectangle does not bisect $\angle A$
and $\angle C$(∴ adjacent sides are not equal).