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Geometry Logic Terminology

AB
Conditonal statementA type of logic statement that has two parts: a hypothesis and a conclusion.
Biconditional statementA statement that contains the phrase "if and only if".
HypothesisThe "if" part of a conditional statement.
ConclusionThe "then" part of a conditional statement.
Inverse statementThe statement formed by negating the hypothesis and conclusion of a conditional statement.
Contrapositive statementThe equivalent statement formed by negating the conclusion and hypothesis of a conditional statement; you reverse and negate the two parts.
Converse statementThe statement formed by exchanging the hypothesis and conclusion of a conditional statement.
NegationThe opposite of a statement.
CounterexampleOne way to prove that a conjecture is false.
Equivalent statementTwo statements tha are either both True or both False.
ConjectureAn educated guess.
Inductive ReasoningThe reasoning based on observing data, recognizing patters, and making generalizations about those patterns.
Deductive Reasoningis the process of showing that certain statements follow locically from agreed upon assumptions and proven facts


Mathematics Educator
Page Middle School
Madison Heights, MI

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