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Converse of Theorem 2

Is quad. A B ...

Question

Is quad. ABCD a parallelogram?
I. Its opposite sides are equal.
II. Its opposite angles are equal.
(a) if the question can be answered by one of the given statements alone and not by the other;
(b) if the question 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.

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Solution

We know that a quadrilateral is a parallelogram when either I or II holds true.
Hence, the correct answer is (b).

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