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1951 AMC 12 Question 14

AMC12 · 1951 AMC 12

Question 14

In connection with proof in geometry, indicate which one of the following statements is incorrect:
  1. Some statements are accepted without being proved.
  2. In some instances there is more than one correct order in
    proving certain propositions.
  3. Every term used in a proof must have been
    defined previously.
  4. It is not possible to arrive by correct reasoning at a true
    conclusion if, in the given, there is an untrue proposition.
  5. Indirect proof can be used whenever there are two or more
    contrary propositions.