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Geometry: Logic Statements

Terms

Introduction to Logic Statements

Statements

Conclusion  -  The clause of a conditional statement that begins with "then."
Conditional Statement  -  A statement with "if-then" structure; it has an "if" clause and a "then" clause.
Conjunction  -  Two statements joined by the word "and" into a single statement; pâàçq .
Contrapositive  -  A conditional statement whose hypothesis and conclusion were negated and switched. Given pâàçq , the contrapositive is âàüqâàçâàüp .
Converse  -  A statement whose hypothesis and conclusion were switched. Given pâàçq , the converse is qâàçp .
Declarative Sentence  -  A sentence that asserts a fact; a sentence that states something.
Disjunction  -  Two statements joined by the word "or" into a single statement; pâàèq .
Hypothesis  -  The clause preceded by "if" in a conditional statement; it states the condition.
Implication  -  Two statements combined into one, in which one statement is preceded by the word "if" and the other statement is preceded by the word "then." Through implication, conditional statements are formed.
Inverse  -  A statement whose hypothesis and conclusion were both negated. Given pâàçq , the inverse is âàüpâàçâàüq .
Negation  -  The opposite of a statement; its truth value is the opposite of the original statement.
Statement  -  A declarative sentence that is definitely either true or false.
Truth Table  -  A table, or chart, that displays the truth values for the statements in it for every possible scenario.
Truth Value  -  The truth or falsehood of a statement. Every statement has exactly one of two truth values: either true or false (T or F).

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