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### 15 Cards in this Set

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