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Geometry Chapter 2 K
Reasoning and Proofs
| Term | Definition |
|---|---|
| inductive reasoning | the process of reasoning that a rule or statement is true b/c specific cases are true |
| conjecture | a statement believed to be true based on inductive reasoning |
| counterexample | use to prove a statement is false |
| conditional statement | a statement that can be written in if then form |
| hypothesis | the "if" part of a conditional statement |
| conclusion | the "then" part of a conditional statement |
| truth value | deciding whether a statement is true or false |
| negation | the opposite of a statement (not) |
| converse | a statement formed by reversing the hypothesis and conclusion of an if then statement |
| inverse | a statement formed by negating the hypothesis and conclusion of an if then statement |
| contrapositive | a statement formed by both negating and switching the hypothesis and conclusion of an if then statement |
| logically equivalent statements | 2 similar conditional statements that have the same truth value |
| deductive reasoning | the process of using logic to draw conclusions from given facts, definitions, and properties |
| biconditional statement | a conditional statement that can be written in if and only if form |
| definition | a statement that describes a math object that can be written as a true biconditional statement |
| proof | an argument that uses logic, definitions, properties, and previously proven statements to show that a conclusion is true |
| theorem | any statement that you can prove |
Created by:
stacykeener
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