Flashcards Chapter 2 by HC120221183135

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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.
Biconditional

 The conjunction of a conditional
  statement and its converse.
Compound Statement

 A statement formed by joining two or
  more statements.
Conclusion

 In a conditional statement, the statement
  that immediately follows the word then.
Conditional Statement

 A statement that can be written in if-then
  form.
Conjecture

 An educated guess based on known
 information.
Conjunction

 A compound statement formed by joining
  two or more statements with the word
  and.
Contrapositive

 The statement formed by negating both
  the hypothesis and conclusion of the
  converse of a conditional statement.
Converse

 The statement formed by exchanging the
  hypothesis and conclusion of a
  conditional statement.
Counterexample

 An example used to show that a given
  statement is not always true.
Deductive Argument

 A proof formed by a group of algebraic
  steps used to solve a problem.
Deductive Reasoning

 A system of reasoning that uses facts,
  rules, definitions, or properties to reach
  logical conclusions.
Disjunction

 A compound statement formed by joining
  two or more statements with the word or.
Formal Proof

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

 In a conditional statement, the statement
  that immediately follows the word if.
If-then Statement

 A compound statement of the form “if A,
  then B”, where A and B are statements.
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.
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.
Inverse

 The statement formed by negating both
  the hypothesis and conclusion of a
  conditional statement.
Law of Detachment

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

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

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

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

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

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

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

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

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

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

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

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