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# Geometry

### Chapter 2

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