What is a converse of a theorem that is an if-then statement?
a: The converse of a theorem has no relationship to the original theorem
b:The IF part and the THEN part switch places
c:The two parts are negated by using the word NOT
d:The converse is the same as the original theorem
b: The IF part and the THEN part switch places
b: The IF part and the THEN part switch places
The correct answer is b: The IF part and the THEN part switch places. The converse of a theorem is formed by switching the hypothesis (or IF part) and the conclusion (or THEN part) of the original if-then statement.
To find the converse of a theorem, follow these steps:
1. Identify the original if-then statement.
2. Swap the hypothesis and conclusion of the original statement.
3. Formulate a new if-then statement using the swapped parts.
4. This new if-then statement represents the converse of the original theorem.