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Geometry unit 2
| Term | Definition |
|---|---|
| Inductive reasoning | Make a conclusion based on observations and patterns. (eg. 39,31, 24,.... Generate the next term) |
| Conjecture | A concluding statement reaction using inductive reasoning. (eg. Generate the next term subtract 7 from the previous term.) |
| Statement | A statement is a sentence that is either true or false. the true or false is called a truth value. |
| Negation | A negation of a statement hast he opposite truth value. |
| Compound statements | Two or more statements joined by the words "and" or "or" |
| Conjunction | Statements joined by the word "and". It is true when both statements are true. |
| Disjunction | statements joined by the word "or". True when one of the statements is true. |
| Conditional statements | A statement that can be written in if-then form. |
| Hypothesis | The part of the conditional statement that comes directly after the "if". |
| conclusion | The part of the conditional statement that comes directly after the "then" |
| Inverse | Formed when the hypothesis and conclusion are negated |
| converse | formed by switching the hypothesis and conclusion are switched. |
| contrapositive | formed by switching and negating the hypothesis and conclusion. |
| biconditional | Formed when the conditional and its converse are true. |
| counter example | an example that shows the conjecture is false |