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Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
Conclusion   The phrase immediately following the word then in a conditional statement.  
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Conditional statement   A statement that can be written in if-then form.  
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If-then statement   Written in the form if p, then q.  
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Hypothesis   The phrase immediately following the word if in a conditional statement.  
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Conjecture   An educated guess based on known information.  
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Inductive reasoning   The Reasoning that uses a number of specific examples to arrive at a plausible generalization or prediction.  
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Counterexample   The one false example that proves a conjecture false.  
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Conditional   Given hypothesis and conclusion.  
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Converse   Exchanging the hypothesis and conclusion of the conditional.  
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Inverse   Negating both the hypothesis and conclusion of the conditional.  
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Contrapositive   Negating both the hypothesis and conclusion of the converse statement.  
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Deductive reasoning   Uses facts, rules, definitions, or properties to reach logical conclusions.  
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Law of detachment   A form of deductive reasoning that says if p to q is true and p is true, then q is also true.  
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Law of syllogism   A formof deductive reasoning that says if p to q and q to r are true, then p to r is also true.  
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Postulate   A statement that is accepted as true (Also known as axiom).  
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Theorem   A statement or conjecture that has been shown to be true.  
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