What is a converse of a theorem that is an if-then statement?(1 point)
Responses
The two parts are negated by using the word not.
The two parts are negated by using the word not .
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 if part and the then part switch places is the correct answer. The converse of a theorem is formed by interchanging the hypothesis and conclusion of the original theorem.
The converse of a theorem that is an if-then statement is when the if part and the then part switch places.
The correct response is: The if part and the then part switch places.
To find the converse of a theorem that is in the form of an "if-then" statement, you simply switch the positions of the "if" and "then" parts. In other words, you reverse the order of the two parts.
For example, let's say we have the theorem: "If it is raining, then the ground is wet." The converse of this theorem would be: "If the ground is wet, then it is raining."
It's important to note that the converse of a theorem may or may not be true. While the original theorem may be true, the converse may not be true. So, it's always necessary to evaluate the validity of both the original theorem and its converse separately.