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Geometry Chapter 2 Terms
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Axiom Also known as a postulate.
A statement that describes a fundamental relationship between the basic terms of geometry.
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Biconditional The conjunction of a conditional statement and its converse.
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Compound Statement A statement formed by joining two or more statements.
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Conclusion In a conditional statement, the statement that immediately follows the word then.
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Conditional Statement
A statement that can be written in if-then form.
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Conjecture An educated guess based on known information.
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Conjunction A compound statement formed by joining two or more statements with the word and.
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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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Converse The statement formed by exchanging the hypothesis and conclusion of a conditional statement.
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Counterexample An example used to show that a given statement is not always true.
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Deductive Argument A proof formed by a group of algebraic steps used to solve a problem.
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Deductive Reasoning A system of reasoning that uses facts, rules, definitions, or properties to reach logical conclusions.
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Disjunction A compound statement formed by joining two or more statements with the word or.
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Formal Proof Also known as a two-column proof.
Contains statements (each step) and reasons (properties that justify each step) organized in two columns.
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Hypothesis In a conditional statement, the statement that immediately follows the word if.
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If-then Statement A compound statement of the form “if A, then B”, where A and B are statements.
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Inductive Reasoning Reasoning that uses a number of specific examples to arrive at a plausible generalization or prediction. Conclusions arrived at by this lack the logical certainty of those arrived at by deductive reasoning.
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Informal Proof Also known as a paragraph proof.
For this type you write a paragraph to explain why a conjecture for a given situation is true.
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Inverse The statement formed by negating both the hypothesis and conclusion of a conditional statement.
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Law of Detachment Also known as a postulate.
A statement that describes a fundamental relationship between the basic terms of geometry.
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Law of Syllogism Also known as a postulate.
A statement that describes a fundamental relationship between the basic terms of geometry.
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Logically Equivalent Also known as a postulate.
A statement that describes a fundamental relationship between the basic terms of geometry.
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Negation Also known as a postulate.
A statement that describes a fundamental relationship between the basic terms of geometry.
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Paragraph Proof Also known as a postulate.
A statement that describes a fundamental relationship between the basic terms of geometry.
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Postulate Also known as a postulate.
A statement that describes a fundamental relationship between the basic terms of geometry.
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Proof Also known as a postulate.
A statement that describes a fundamental relationship between the basic terms of geometry.
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Related Conditionals Also known as a postulate.
A statement that describes a fundamental relationship between the basic terms of geometry.
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Statement Also known as a postulate.
A statement that describes a fundamental relationship between the basic terms of geometry.
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Theorem Also known as a postulate.
A statement that describes a fundamental relationship between the basic terms of geometry.
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Truth Table Also known as a postulate.
A statement that describes a fundamental relationship between the basic terms of geometry.
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Truth Value Also known as a postulate.
A statement that describes a fundamental relationship between the basic terms of geometry.
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Two-Column Proof Also known as a postulate.
A statement that describes a fundamental relationship between the basic terms of geometry.
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