# Geometry Ch. 2 Terms

Term | Definition |
---|---|

Algebraic Proof | A proof that is made up of a series of algebraic statements |

Axiom | A statement that is accepted as true |

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 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 pf 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 | A two- column proof containing statements and reasoning |

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

If-Then Statement | A compound statement of the form "if p, then q" where p and q are statements |

Inductive Reasoning | Reasoning that uses number specific examples to arrive at a plausible generalization or prediction (patterns) |

Informal Proof | Paragraph proof |

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

Logically Equivalent | Statements that have the same truth values |

Negation | If a statement is represented by p, then not p is the negation of the statement |

Paragraph Proof | An informal proof written in the form of a paragraph proof that explains why a conjecture for the given situation is true |

Postulate | A statement that describes a fundamental relationship between the basic functions of geometry (accepted as true without proof) |

Proof | A logical argument in which each statement you make if supported by a statement that is accepted as true |

Related Conditionals | Statements that are based on a given conditional statement |

Statement | Any sentence that is either true or false, but not both. |

Theorem | A statement or conjecture that can be proven true by undefined terms, definitions, and postulates |

Truth Table | A table used as a convenient method for organizing the truth values of statements |

Truth Value | The truth or falsity of a statement |

Two-Column Proof | A formal proof that contains statements and reasons organized in two columns. |

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