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### 15 Cards in this Set

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 conditional statement A type of logical statement that has two parts, a hypothesis and a conclusion if-then form The form of a conditional statement that uses the words "if" and "then". The "if" part contains the hypothesis and the "then" part contains the conclusion hypothesis The "if" part of a conditional statement conclusion The "then" part of a conditional statement converse The statement formed by switching the hypothesis and conclusion of a conditional statement negation The negative of a statement. The negation symbol is ~ inverse The statement formed when you negate the hypothesis and conclusion of a conditional statement contrapositive The statement formed when you negate the hypothesis and conclusion of the converse of a conditional statement equivalent statements Two statements that are both true or both false perpindicular lines Two lines that intersect to form a right angle. The symbol for "is perpindicular to" is ⊥ line perpindicular to a plane A line that intersects the plane in a point and is perpindicular to every line in the plane that intersects it biconditional statement A statement that contains the phrase "if and only if". The symbol for "if and only if" is ↔ logical arguement An arguement based on deductive reasoning, which uses facts, definitions, and accepted properties in a logical order. law of detachment If p→q is a true conditional statement and p is true, then q is true law of syllogism If p→q and q→r are true conditional statements, then p→r is true