Which of the following is the converse of the statement, "If you are smiling, thern you are happy"?
O A. If you are happy, then you are not smiling
O B. If you are not happy, then you are not smiling
O C. If you are not smiling, then you are not happy
O D. If you are happy, then you are smiling

Respuesta :

Answer: O C. If you are not smiling, then you are not happy

Step-by-step explanation: This is the complete opposite of the initial statement.

Hope this helps!   :)

The converse of the statement, "If you are smiling, then you are happy" is Option(C) "If you are not smiling, then you are not happy".

Converse of a statement -

The converse of a statement is formed by switching the hypothesis and the conclusion. Thus the converse of a true statement is always false and for conditional relation statement, "If true then yes". If there are two statement proposition p and q then the converse of the statements is denoted as p→q.

How to find the converse of the given statements ?

Original statement given "If you are smiling, then you are happy" .

Converse is just opposite of the given statement denoting the same meaning of the Hypothesis.

Thus we have the converse statement in Option (C),

"If you are not smiling, then you are not happy".

To learn more about converse statement , refer -

https://brainly.com/question/1899843

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