Question

Find the converse of the statement, “If ABCD is a square, then it is a rectangle.”
(a) If ABCD is a square, then it is not a rectangle
(b) If ABCD is not a square, then it is a rectangle
(c) If ABCD is a rectangle, then it is a square
(d) If ABCD is not a square, then it is not a rectangle

Answer 1

Hint: To solve the given question, we will first find out what a statement is and what kind of statement is given in the question. We will find out the general form of these types of statements. Then, we will find out what is converse of these kinds of statements. Then, to find the converse of the statement given in the question, we will interchange the hypothesis and conclusion. In this way, we will get its converse.

Complete step-by-step answer:
Before we solve the given question, we must first know what a statement is and what kind of statement is given in the question. A statement is a sentence that is either true or false but not both. Now, the statement given in the question is a conditional statement. A statement is written in the form of “If P then Q” is called a conditional statement. In our case, P is “ABCD is a square” and Q is “it is a rectangle”.
Now, the converse of any conditional statement “If P then Q” is given by interchanging P and Q, i.e. “If Q then P”. Thus, the converse of the conditional statement given in the question will be “If ABCD is a rectangle, then it is a square”.
Hence, the option (c) is the right answer.

Note: To find the converse of any statement, the statement given should be a conditional statement, i.e. the given statement should be of the form “If P then Q”. If the given statement is not of this form, then the converse of the statement does not exist.