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Geometry Chapter 2
| Term | Definition |
|---|---|
| Goldbach's Conjecture | any even number can be written as a sum of 2 prime numbers |
| conjecture | a mathematician's guess or prediction |
| inductive reasoning | process of looking at patterns and creating conjectures |
| counterexample | an example to show why a conjecture is false |
| If-then statement | conditional |
| hypothesis | part after "if" |
| conclusion | part after "then" |
| symbolic notation | p-->q |
| true + true | True |
| true + false | False |
| false + true | True |
| false + false | True |
| converse | switch the hypothesis and conclusion |
| inverse | make the hypothesis and conclusion opposites |
| contrapositive | converse of the inverse, switch the hypothesis and conclusion, and make them opposites |
| original and contrapositive | logically equivalent. |
| converse and inverse | logically equivalent |
| biconditional | original and converse are both true |
| postulates | statements that describe a fundamental relationship that doesn't have to be proven |
| theorems | a statement proven to be true by using undefined terms, definitions, and postulates |
| through any 2 points there is | one line |
| through any 3 points not on the same line there is | one plane |
| a line contains at least | 2 points |
| a plane contains at least | 3 noncollinear points |
| if 2 points lie in a plane then the line that contains those points is | in the plane |
| proof | a logical statement in which each statement made is supported by a statement known to be true |
Created by:
ts2819
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