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### 15 Cards in this Set

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 A type of logical statement that has two parts, a hypothesis and conplusion conditional statement a form of a conditional statement using "if" and "then" the if is the hypothesis and then is the conclusion. If-then statement The statement formed by switching the hypothesis and conclusion of a conditional statement. converse The negative of a statement symbol: ~ negation statement formed when negating the hypothesis and conclusion of a conditional statement inverse statement formed when you negate the hypothesis and conclusion of the converse of a conditional statement. contropositive two statements that are both true or both false. equivalent statements two lines that intersect to form a right angle symbol:(upside down T) perpendicular lines a line that intersects the plane in a point and is perpendicular to ever line in the plane that it intersects it line perpendcular to a plane a statement that that contains the phrase "if and only if" symbol: ‹―› biconditional statement an argument based on deductive reasoning, which use facts, definitions, and accepted properties in a logical order. logical argument if p―›q is a true conditional statement and p is true, then q is true Law of Detachment if p―›q and q―›r are true conditional statements, then p―›r is true Law of Syllogism a true statement that follows as a result of other true statements. theorum a type of proof written as numbered statements and reasons that show the logical order of an argument. two-column proof