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law of syllogism

if p ➡q and q➡r are true conditional statements then p➡r is true

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biconditional statement

a statement that contains the phrase "if and only if" the symbol for "if and only if" is ↔

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theorem

a true statement that follows as a result of other true statements

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equivalent statement

two statements that are both true of both false

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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

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converse

the statement formed by switching the hypothesis and conclusion of a conditional statement

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hypothesis

the "if" part of a conditional statement

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conditional statement

has two parts, a hypothesis and a conclusion.

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two-column proof

a type of proof written as numbered statements and reasons that show the logical order of an argument

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conclusion

the "then" part of a conditional statement

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perpendicular lines

two lines that intersect to form a right angle. the smybol for "is perpendicular to" is ⊥

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negation

the negative of a statement. the negation symbol is ~

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law of detachment

if p ➡ q is a true conditional statement and p is true, than q is true

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paragraph proof

a type of proof written in paragraph form

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if-then form

the "if" part contains the hypothesis and the "then" part contains the conclusion.

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logical argument

an argument based on deductive reasoning, which uses facts, definitions, and accepted properties in a logical order

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contrapositive

the statement formed when you negate the hypothesis and conclusion of the converse of a conditional statement

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inverse

the statement formed when you negate the hypothesis and conclusion of a conditional statement

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