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