Geometry

1. Geometry Chapter 2 Terms

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

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

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

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

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

7. Conjecture An educated guess based on known information.

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

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

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

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

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

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

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

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

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

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

18. 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.

19. 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.

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

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

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

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

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

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

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

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

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

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

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

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

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

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