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Geometry

Terms and Definations

AB
conjecturean educated guess
conditional statementis a statement that can be written in if-then form
conclusionthe "then" part of a statement
conversea conditional statement is formed by interchangeing the hypothesis and conclusion
counterexamplea false example
deductive reasoninga system of reasoning used to reach logical conclusions
hypothesisthe "if" part of a staement
if-then statementa sentance that staes if something is true then something else is true
inductive reasoninglooking at specific situations to arrive at a conjecture
Law of Detachmentif p~q is a true conditional and p is true then q is true
Law of Syllogismif p~q and q~r are true conditionals then p~r is also true
postulatea statement that describes a fundamental property of the basic terms, these are also accepted as being true
theorema statement must be proven before itis accepted as true
two-coulmn proofa formal proof in which statements are listed in one coulmn and the reasons for each statement are listed in a second column


Michael Rose

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