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15 Cards in this Set
- Front
- Back
conditional statement
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a statement that can be written in if-then form
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conjecture
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an educated guess based on known information
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converse
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the statement formed by exchanging the hypothesis and conclusion of a conditional statement
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inverse
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the statement formed by negating both the hypothesis and conclusion of a conditional statement
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contrapositive
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the statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement
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law of detachment
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If p->q is a true conditional and p is true, then q is also true
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law of syllogism
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If p->q and q->r are true conditionals, then p->r is also true
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postulate
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A statement that describes a fundamental relationship between the basic terms of geometry, and are accepted as true without proof.
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theorem
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A statement or conjecture that can be proven true by undefined terms, definitions, and postulates
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two-column proof
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A formal group of statements and reasons organized in two columns. Each step is called a statement, and the properties that justify each step are called reasons.
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proof
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A logical argument in which each statement you make is supported by a statement that is accepted as true
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inductive reasoning
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reasoning that uses a specific number of examples to arrive at a plausible generalization or prediction
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deductive reasoning
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A system of reasoning that uses facts, rules, definitions, or properties to reach logical conclusions
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hypothesis
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In a conditional statement, the statement that immediately follows the word if.
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conclusion
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In a conditional statement, the statement that immediately follows the word then.
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