What is a converse of a theorem that is an if-then statement? (1 point)
The converse of a theorem has no relationship to the original theorem.
The converse is the same as the original theorem.
The if part and the then part switch places.
The two parts are negated by using the word not.
The two parts are negated by using the word not.
The converse of a theorem that is an if-then statement occurs when the if part and the then part switch places. So, the correct answer is:
The if part and the then part switch places.
The converse of a theorem that is an if-then statement is obtained by switching the positions of the if and then parts of the statement. In other words, the if part becomes the then part, and the then part becomes the if part.
For example, let's consider the following theorem: "If a triangle has three congruent sides, then it is equilateral." The converse of this theorem would be: "If a triangle is equilateral, then it has three congruent sides." In the converse statement, the positions of "if" and "then" are switched.
It's important to note that the converse of a theorem may or may not be true. The original theorem may be true, but its converse may be false. It's necessary to prove the validity of both the theorem and its converse separately.