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

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Presentation on theme: "Geometry Chapter 2 Terms. Axiom Also known as a postulate. A statement that describes a fundamental relationship between the basic terms of geometry."— Presentation transcript:

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.


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