Chapter 1.4 – Math Study Guide (RDD). – Flashcards
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Which of the following can be used to explain a statement in a geometric proof? Select all that apply. (4 Correct Answers)
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Corollary, Theorem, Postulate, and Definition
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True or False: In the body of an indirect proof, you must show that the assumption leads to a contradiction.
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True
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True or False: An indirect proof assumes the opposite of what needs to be proved and then arrives at a contradiction.
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True
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True or False: Postulates are accepted as true without proof.
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True
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True or False: Postulates are statements that require proof.
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False
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True or False: Postulates are statements that are accepted without question or justification.
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True
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True or False: A corollary is a statement that can be easily proved using a theorem.
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True
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True or False: A theorem is a statement that can be easily proved using a corollary.
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False
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Which of the following are accepted without proof in a logical system? Select all that apply. (3 Correct Answers)
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Postulates, Axioms, and Common Notions.
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True or False: In a two-column proof, the left column contains a series of deductions.
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True
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True or False: In a two-column proof, the right column states your reasons.
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True
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Which term best describes a proof in which you assume the opposite of what you want to prove?
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Proof by Contradiction
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Which best describes the meaning of the term theorem?
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A conclusion proved by deductive reasoning.
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Fill in the Blank: A flowchart proof presents a logical argument using _______________.
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Boxes and Arrows.
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Fill in the Blank: A logical argument that is presented in graphical form using boxes and arrows is called a _______________.
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Flowchart Proof.
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Fill in the Blank: A flowchart proof uses a(n) _______________ form to present a logical argument.
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Graphical.
