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### 23 Cards in this Set

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 conditional statement has two parts, a hypothesis and a conclusion. 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 perpendicular lines two lines that intersect to form a right angle. the smybol for "is perpendicular to" is ⊥ line perpendicular to a plane a line that intersects the plane in in a point and is perpendicular 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 argument an argument 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, than q is true law of syllogism if p ➡q and q➡r are true conditional statements then p➡r is true inductive reasoning the process of using observations or specific data to recognize a patter and making a conjecture deductive reasoning the process of combining statements such as general rules or laws to make a logical argument or to identify a specific result or conclusion conjecture an unproven theorem counterexample an example that proves a statement is false. reflexive property of congruence AB is congruent to AB symmetric property of congruence KR congruent ML then ML congruent to KR transitive property of congruence AB congruent to CD and CD congrent to EF then AB congrent to EF right angle congruence theorem All right angles are congruent linear pair postulate linear pair's are congruent vertical angles theorem vertical angles are congruent congruent supplements theorem if two angles are supplements of congruent angles (or of the same angle) then the two angles are congruent. congruent complements theorem if two angles are complements of congruent angles (or of the same angle) then the two angles are congruent.