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Chapter 2 Vocabulary

Geometry Vocabulary related to Reasoning & Proof as presented in Mcdougal littell text.

AB
conditional statemetna type of logical statement that has two parts, a hypothesis and a conclusion
conjecturean unproven statement that is based on observations
conclusionthe "then" part of a conditional statement
hypothesisthe "if" part of a conditional statement
if-then formthe form of a conditional statement that uses the words "if" and 'then"
conversethe statement formed by switching the hypothesis and conclusion of a conditional statement
contrapositivethe statement formed when you negate the hypothesis and conclusion of the converse of a conditional statement
inversethe statement formed when you negate the hypothesis and conclusion of a conditional statement
negationthe negative of a statement
equivalent statementstwo statements that are both true or both false
perpendicularlines that intersect to form a right angle
biconditionala statement that contains the phrase "if and only if"
logicalan argument based on deductive reasoning
deductive the type of reasoning that uses facts, definitions, and accepted properties in a logical order to write an argument
inductivethe type of reasoning that uses previous examples and patterns to form a conjecture
Law of Detachmentif p->q is a true conditional statement and p is true, then q is true
Law of SyllogismIf p->q and q->r are true conditional statements, then p->r is true
theorema true statement that follows as a result of other true statements
two-column proofhas numbered statements and reasons that show the logical order of an argument


Mrs. Wisham

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