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Geometry Voc 9-20
| Question | Answer |
|---|---|
| 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. |