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Geometry
Chapter 2
| Question | Answer |
|---|---|
| inductive reasoning | reasoning the uses a number of specific examples to arrive at a plausible generalization or prediction. conclusions arrived at by indeductive reasoning lack the logical certainty of those arrived at by deductive reasoning. |
| counter example | an example used to show that a given general statement is not always true. |
| conjecture | an educated guess. |
| if-then statement | a compound statement of the form "if A, the B", where A and B are statements. |
| conditional statement | a statement of the form "If A, then B". the part of knowing if is called the hypothesis. the part following then is called the conclusion. |
| hypothesis | in a conditional statement, the statement that immediately follows the word if. |
| conclusion | in a conditional statement, the statement that immediately follows the word then. |
| converse | a statement formed by interchanging the hypothesis and conclusion of a conditional statement |
| negation | the denial of a statement |
| inverse | the denial of a conditional statement |
| postulate 2-1 | through any two points there is exactly one line |
| postulate 2-2 | through any three points on the same line there is exactly one plane |
| postulate 2-3 | a line containing at least two points |
| postulate 2-4 | a plane contains at least three points not on the same line |
| postulate 2-5 | if two points lie in a plane, then the entire line containing those two points lies in that plane. |
| postulate 2-6 | if two planes intersect, then their intersection is a line. |
| contrapositive | the statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement. |
| deductive reasoning | a system of reasoning used to reach conclusions that must be true whenever the assumptions on which the reasoning is based are true. you are looking for a pattern step by step |
| law of detachment | if p -> q is a true conditional statement and p is true, then q is true |
| law of syllogism | if p -> q and q -> r are true conditionals, the p -> r is also true. |
Created by:
amcalva
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