Texas-CCISD School District Geometry Chapter 2 Flashcards
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Created by:
black_moon22 on November 26, 2011
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15 terms
Terms | Definitions |
|---|---|
Inductive reasoning | The process of reasoning that a rule or statement is true because specific cases are true. |
Conjecture | A statement that is believed to be true. |
Counterexample | An example that proves that a conjecture or statement is false. |
Conditional Statement | A statement that can be written in the form "if p, then q," where p is the hypothesis and q is the conclusion. |
Hypothesis of a Conditional Statement | The part of a conditional statement following the word if. |
Conclusion of a Conditional Statement | The part of a conditional statement following the word then. |
Truth value of a Conditional Statement | A statement can have a truth value of true (T) or false (F). |
Negation | The negation of statement p is "not p," written as ~p. |
Converse of a Conditional Statement | A statement formed by exchanging the hypothesis and conclusion of a conditional statement. |
Inverse of a Conditional Statement | A statement that negates both the hypothesis an conclusion in a conditional statement. |
Contrapositive of a Conditional Statement | The statement formed by both exchanging and negating the hypothesis and conclusion of a conditional statement. |
Logically equivalent | A statement that has the same truth value. |
Deductive Reasoning | The process of using logic to draw conclusions from given facts, definitions, and properties. |
Law of Detachment | If p ➡ q is a true conditional statement and p is true, than q is true. |
Law of Syllogism | If p ➡q and q➡r are ture conditional statements, then p➡r is true. |
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