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Geometry
Module 3 Vocabulary
| Term | Definition |
|---|---|
| inductive reasoning | the process of reaching a conclusion based on a pattern of examples |
| conjecture | an educated guess based on known information and specific examples |
| counterexample | an example that contradicts the conjecture showing that the conjecture is not always true |
| statement | any sentence that is either true or false, but not both |
| truth value | the truth or falsity of a statement |
| negation | has the opposite meaning as well as the opposite truth value of the original statement |
| compound statement | two or more statements joined by the word "and" or "or" |
| conjunction | a compound statement using the word "and" |
| disjunction | a compound statement using the word "or " |
| conditional statement | a compound statement that consists of a hypothesis and a conclusion |
| if-then statement | a compound statement using "if" and "then" |
| hypothesis | the phrase immediately following the word "if" in an if-then statement |
| conclusion | the phrase immediately following the word "then" in an if-then statement |
| converse | swap order |
| inverse | change value |
| contrapositive | swap order and change value |
| biconditional | if and only if statement, indicates exclusivity |
| deductive reasoning | uses facts, rules, definitions, or properties to reach specific valid conclusions |
| valid argument | if it is impossible for all of the premises, or supporting statements, of the argument to be true and its conclusion false |
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