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 of a theorem has no relationship to the original theorem.
The converse of a theorem has no relationship to the original theorem.
The if part and the then part switch places.
The if part and the then part switch places.
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 is a statement that switches the position of the "if" part and the "then" part. So, if the original theorem is an if-then statement of the form "If A, then B", the converse would be "If B, then A".
To determine the converse, you simply need to interchange the positions of the "if" and "then" parts in the original theorem. This can be done by:
- Swapping the positions of the "if" and "then" keywords.
- No negation of the two parts is involved.
- The converse is not the same as the original theorem, but it is related by the switch in the positions of the "if" and "then" parts.
Therefore, the correct answer is: "The if part and the then part switch places."