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Geometry Voc 9-20

QuestionAnswer
two column proof a formal proof that contains statements and reasons organized into two columns
truth value the truth or falsity of a statement
theorom a statement or conjecture that can be proven true by undefined terms, definitions, and postulates
proof a logical argument in which each statement you make is supported by a statement that is accepted as true
postulate a statement that describes a fundamental relationship between the basic terms of geometry .
postulate are accepted as true without proof **
paragraph proof an informal proof written int he form of a paragraph that explains why a conjucture for a given situation is true
negation statement of OPPOSITE MEANING as well as an OPPOSITE TRUTH value. if a statement is represented by p, then not p is the negation of the statement;
negation If a statement is true, its negation is false; if the statement is false, its negation is true; opposite of original .
inverse the statement formed by NEGATING both the hypothesis and conclusion of a conditioned statement
inductive reasoning reasoning that uses a number of specific examples to arrive at a conclusion or plausible generalization or prediction
if-then- statement a compound statement of the form if "p then q" where p and q are statements
hypothesis conditional statement the statement that immediately follows the word "IF"
disjunction a compound statement formed by joining two or more statements with the word "OR"
deductive reasoning a systems of reasoning that uses facts, rules, definitions, or properties to reach logical conclusions
deductive argument proof formed by a logical chain of statements of algebraic steps used to solve a problem and linking the given to what you are trying to prove.
counter example false example: an example used to show that a given statement(conjecture) is not always true
converse the statement formed by EXCHANGING(INTERCHANGING) the hypothesis and the conclusions of the converse of a conditional statement
contrapositive the statement of NEGATING and then INTERCHANGING the hypothesis and the conclusion of the CONVERSE of the conditional
conjuction a compound statement formed by joining two or more statements with the word "AND:
conjecture an educated guess based on known information; concluding statement reached using inductive reasoning
conditional statement statement that can be written in if-then form
conclusion the statement that immediately follows the word "THEN" in a conditional statement
When is a conditional statement true? WRITE THIS OUT the conclusion must be true wherever the hypothesis is true.
When is a conditional statement false? !Write Out! only when the hypothesis is true, but the conclusion is false.
Created by: sloancaston
 

 



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