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Earn +20 ptsQ: What is the goal of a proof by contradiction?
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A second type of proof in geometry is a proof by or indirect proof?
contradiction
Which term best describes a proof in which you assume the opposite of what you want to prove.?
proof by contradiction
What is a type of proof in which the statement is being proved is assumed to be false?
It is a type of indirect proof: more specifically, a proof by contradiction.
Does the body of a direct proof show that the assumption leads to a contradiction?
False
How does an indirect proof lead to the desired conclusion?
With an indirect proof, you temporarily assume that the opposite of what you're trying to prove is true. For example, let's say I'm trying to prove that the sky is blue. With an indirect proof, I would first say: "Assume temporarily that sky is not blue..." and go from there. Eventually, I will reach a contradiction and with this contradiction I can assume that this route of thinking is false, therefore my proof must be true.
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