The converse of 'If p, then q' is which?

Prepare for the Geometry CBE Exam with targeted resources. Access interactive quizzes and detailed explanations to master geometric concepts effectively and excel in your test!

Multiple Choice

The converse of 'If p, then q' is which?

Take a conditional statement like “If p, then q.” To get the converse, swap the two parts: you ask what happens if q leads to p. So the converse is “If q, then p.” That’s why the correct choice is the one that states “If q then p.” Remember, the converse is a different statement from the original and does not have to share the same truth value; it’s also distinct from the inverse (not p implies not q) and the contrapositive (not q implies not p). For example, if p is “it is raining” and q is “I carry an umbrella,” the original says rain implies carrying an umbrella, while the converse says carrying an umbrella implies rain.

Take a conditional statement like “If p, then q.” To get the converse, swap the two parts: you ask what happens if q leads to p. So the converse is “If q, then p.” That’s why the correct choice is the one that states “If q then p.” Remember, the converse is a different statement from the original and does not have to share the same truth value; it’s also distinct from the inverse (not p implies not q) and the contrapositive (not q implies not p). For example, if p is “it is raining” and q is “I carry an umbrella,” the original says rain implies carrying an umbrella, while the converse says carrying an umbrella implies rain.

More practice questions