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Pearson Geometry Unit 2

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Term
Definition
Conjecture   a conclusion reached by using inductive reasoning; can be true or false.  
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Counterexample   an example that shows that a conjecture is false. You can prove that a conjecture is false by finding one.  
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Inductive reasoning   a type of reasoning that reaches conclusions based on a pattern of specific examples or past events  
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Conclusion   the phrase of an if-then statement (conditional) that follows then  
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Conditional   an if-then statement  
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Contrapositive   reverses the order of the hypothesis and the conclusion in a conditional and negates them both  
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Converse   reverses the order of the hypothesis of a conditional and the conclusion.  
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Equivalent statements   statements that have the same truth value.  
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Hypothesis   the phrase of an if-then statement (conditional) that follows if  
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Inverse   negates both the hypothesis and the conclusion of the conditional.  
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Negation   the opposite of the statement p, written as ~p, and read “not p.”  
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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   a law of deductive reasoning that allows you to state a conclusion is true, if the hypothesis of a true conditional is true  
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Law of Syllogism   a law of deductive reasoning that allows you to state a conclusion from two true conditional statements when the conclusion of one statement is the hypothesis of the other statement  
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Biconditional   a single true statement that combines a true conditional and its true converse; written by joining the two parts of each conditional with the phrase if and only if.  
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