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# geometry chapter 2

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

biconditional | Is a statement in which both the conditional statement and it's converse are true. |

conclusion | The part of a conditional statement following the "then". |

conditional | A statement written in if-then form. |

conjecture | A conclusion you reach using inductive reasoning. |

contrapositive | Exchange and negate both the hypothesis and the conclusion of a conditional statement -q --> -p |

converse | Exchange the hypothesis and conclusion of a conditional statement. q --> p |

counterexample | An example that shows that a conjecture is false. |

deductive reasoning | Is the process of reasoning logically from given statements, facts, definitions, or theorems to a conclusion. |

equivalent statements | Two statements that have the same truth value. |

hypothesis | The part of a conditional statement following the If. |

inductive reasoning | Reasoning based on patterns you observe. |

inverse | Negate both the hypothesis and the conclusion of a conditional statement......-p --> -q |

Law of Detatchment | Logical reasoning in which ...if the hypothesis of a true conditional is true then the conclusion must also be true. |

Law of Syllogism | Logical reasoning which...allow you to state a conclusion from TWO true conditional statements in when the conclusion of one statement is the hypothesis of the other statement. |

negation | the opposite of a statement p is ~p which is read "not p". |

proof | A convincing argument that uses deductive reasoning which shows logically why a conjecture is true. |

theorem | is a conjecture or statement that has been (or can be) proven true using deductive reasoning. |

truth value | A conditional statement can be either a true or a false statement. |

two column proof | A proof which has two columns, it gives each statement on the left and the reason for each statement on the right. |

addition property of equality | if a = b then a+c = b+c |

subtraction property of equality | if a=b then a-c=b-c |

multiplication property of equality | if a=b then ac = bc |

division property of equality | if a=b then a/c =b/c (given c does not equal 0) |

Reflexive Property | a=a |

Symmetric Property | If a=b then b=a |

Transitive Property | If a=b and b=c then a=c |

Substitution Property | If a=b then b can replace a in any expression |

Distributive Property of multiplication over addition | a(b+c) = ab + ac |

Created by:
rlongsv