Geometry Chapter 2 Terms Axiom o Also known

Geometry Chapter 2 Terms

Axiom o Also known as a postulate. o A statement that describes a fundamental relationship between the basic terms of geometry.

Biconditional o The conjunction of a conditional statement and its converse.

Compound Statement o A statement formed by joining two or more statements.

Conclusion o In a conditional statement, the statement that immediately follows the word then.

Conditional Statement o A statement that can be written in if-then form.

Conjecture o An educated guess based on known information.

Conjunction o A compound statement formed by joining two or more statements with the word and.

Contrapositive o The statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement.

Converse o The statement formed by exchanging the hypothesis and conclusion of a conditional statement.

Counterexample o An example used to show that a given statement is not always true.

Deductive Argument o A proof formed by a group of algebraic steps used to solve a problem.

Deductive Reasoning o A system of reasoning that uses facts, rules, definitions, or properties to reach logical conclusions.

Disjunction o A compound statement formed by joining two or more statements with the word or.

Formal Proof o Also known as a two-column proof. o Contains statements (each step) and reasons (properties that justify each step) organized in two columns.

Hypothesis o In a conditional statement, the statement that immediately follows the word if.

If-then Statement o A compound statement of the form “if A, then B”, where A and B are statements.

Inductive Reasoning o 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.

Informal Proof o Also known as a paragraph proof. o For this type you write a paragraph to explain why a conjecture for a given situation is true.

Inverse o The statement formed by negating both the hypothesis and conclusion of a conditional statement.

Law of Detachment o Also known as a postulate. o A statement that describes a fundamental relationship between the basic terms of geometry.

Law of Syllogism o Also known as a postulate. o A statement that describes a fundamental relationship between the basic terms of geometry.

Logically Equivalent o Also known as a postulate. o A statement that describes a fundamental relationship between the basic terms of geometry.

Negation o Also known as a postulate. o A statement that describes a fundamental relationship between the basic terms of geometry.

Paragraph Proof o Also known as a postulate. o A statement that describes a fundamental relationship between the basic terms of geometry.

Postulate o Also known as a postulate. o A statement that describes a fundamental relationship between the basic terms of geometry.

Proof o Also known as a postulate. o A statement that describes a fundamental relationship between the basic terms of geometry.

Related Conditionals o Also known as a postulate. o A statement that describes a fundamental relationship between the basic terms of geometry.

Statement o Also known as a postulate. o A statement that describes a fundamental relationship between the basic terms of geometry.

Theorem o Also known as a postulate. o A statement that describes a fundamental relationship between the basic terms of geometry.

Truth Table o Also known as a postulate. o A statement that describes a fundamental relationship between the basic terms of geometry.

Truth Value o Also known as a postulate. o A statement that describes a fundamental relationship between the basic terms of geometry.

Two-Column Proof o Also known as a postulate. o A statement that describes a fundamental relationship between the basic terms of geometry.