Texas-CCISD School District Geometry Chapter 2 Flashcards

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black_moon22  on November 26, 2011

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Geometry

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Texas-CCISD School District Geometry Chapter 2 Flashcards

Inductive reasoning
The process of reasoning that a rule or statement is true because specific cases are true.
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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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