 # Geometry Chapter 2 Terms Axiom o Also known

• Slides: 33 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.