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Statements About Geometry Proofs

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February 1, 2009
geometry

Problem Statement

In connection with proof in geometry, indicate which one of the following statements is incorrect: <spanclass=′latex−bold′>(A)</span> Some statements are accepted without being proved. <span class='latex-bold'>(A)</span>\ \text{Some statements are accepted without being proved.} <spanclass=′latex−bold′>(B)</span> In some instances there is more than one correct order in proving certain propositions. <span class='latex-bold'>(B)</span>\ \text{In some instances there is more than one correct order in proving certain propositions.} <spanclass=′latex−bold′>(C)</span> Every term used in a proof must have been defined previously. <span class='latex-bold'>(C)</span>\ \text{Every term used in a proof must have been defined previously.} <spanclass=′latex−bold′>(D)</span> It is not possible to arrive by correct reasoning at a true conclusion if, in the given, there is an untrue proposition. <span class='latex-bold'>(D)</span>\ \text{It is not possible to arrive by correct reasoning at a true conclusion if, in the given, there is an untrue proposition.} <spanclass=′latex−bold′>(E)</span> Indirect proof can be used whenever there are two or more contrary propositions. <span class='latex-bold'>(E)</span>\ \text{Indirect proof can be used whenever there are two or more contrary propositions.}
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