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H/H Geometry Ch. 2 Vocabulary

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Term
Definition
inductive reasoning   when you make conclusions based on patterns you observe  
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conjecture   a conclusion you reach using inductive reasoning  
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counterexample   an example that shows a conjecture is wrong  
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conditional   an if-then statement; p → q; if p, then q  
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hypothesis   the part of a condition following the word if; p  
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conclusion   the part of a condition following the word then; q  
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converse   switch the hypothesis and the conclusion; q → p; if q, then p  
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inverse   negate both the hypothesis and the conclusion of a conditional; ~p → ~q; if not p, then not q  
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contrapositive   negate both the hypothesis and the conclusion of the converse; ~q → ~p; if not q, then not p  
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biconditional   a single true statement that combines a true conditional and its true converse; p ↔ q; p if and only if q  
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deductive reasoning   the process of reasoning logically from given statements or facts to a conclusion  
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Law of Detachment   If the hypothesis of a true conditional is true, then the conclusion is true.  
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Law of Syllogism   Allows you to state a conclusion from two true conditional statements when the conclusion of one statement is the hypothesis of the other statement. If p →q is true and q → r is true, then p → r is true.  
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