What is a converse of a theorem that is an if-then statement?(1 point)
Responses
The converse is the same as the original theorem.
The converse is the same as the original theorem.
The if part and the then part switch places.
The if part and the then part switch places.
The converse of a theorem has no relationship to the original theorem.
The converse of a theorem has no relationship to the original theorem.
The two parts are negated by using the word not.
The correct answer is: The if part and the then part switch places.
To understand the converse of a theorem, it is important to know what an if-then statement is. An if-then statement is a logical statement in the form "if P, then Q," where P represents the hypothesis or condition, and Q represents the conclusion or result.
In the context of a theorem, the converse is formed by switching the positions of the hypothesis and the conclusion. So, if the original theorem is "if P, then Q," then the converse would be "if Q, then P."
It's important to note that the converse may or may not be true. While the original theorem may hold, its converse might not be valid. Therefore, it is necessary to verify and prove the converse separately.