Mathematical Statements and Reasoning

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The part of a conditional statement following "then."

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Conclusion

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A statement that contains the phrase "if and only if"

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Biconditional statement

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An unproven statement that is based on observations

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Conjecture

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Conditional statement

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Converse

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Contrapositive

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A process that uses facts, definitions, accepted properties, and the laws of logic to form a logical argument

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Deductive reasoning

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A specific case for which a conjecture is false

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Counterexample

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equivalent statements

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Two related conditional statements that are both true or both false.

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hypothesis

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The part of a conditional statement following "if."