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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