Question
Pythagorean Theorem Proofs Quick Check
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Question
What is a converse of a theorem that is an if-then statement?(1 point)
Responses
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 converse is the same as the original theorem.
The converse is the same as the original theorem.
The two parts are negated by using the word not.
The two parts are negated by using the word not .
The if part and the then part switch places.
Answers
GPT-4o mini
The correct response is:
**The if part and the then part switch places.**
In a converse statement, the hypothesis and conclusion of the original if-then statement are reversed. For example, the converse of "If P, then Q" is "If Q, then P."
**The if part and the then part switch places.**
In a converse statement, the hypothesis and conclusion of the original if-then statement are reversed. For example, the converse of "If P, then Q" is "If Q, then P."