Chapter 2
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| 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.
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| counter example | an example used to show that a given general statement is not always true.
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| conjecture | an educated guess.
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| if-then statement | a compound statement of the form "if A, the B", where A and B are statements.
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| 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.
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| hypothesis | in a conditional statement, the statement that immediately follows the word if.
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| conclusion | in a conditional statement, the statement that immediately follows the word then.
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| converse | a statement formed by interchanging the hypothesis and conclusion of a conditional statement
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| negation | the denial of a statement
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| inverse | the denial of a conditional statement
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| postulate 2-1 | through any two points there is exactly one line
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| postulate 2-2 | through any three points on the same line there is exactly one plane
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| postulate 2-3 | a line containing at least two points
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| postulate 2-4 | a plane contains at least three points not on the same line
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| postulate 2-5 | if two points lie in a plane, then the entire line containing those two points lies in that plane.
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| postulate 2-6 | if two planes intersect, then their intersection is a line.
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| contrapositive | the statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement.
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| 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
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| law of detachment | if p -> q is a true conditional statement and p is true, then q is true
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| law of syllogism | if p -> q and q -> r are true conditionals, the p -> r is also true.
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Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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Created by:
amcalva
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