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# Geometry Ch. 2 Terms

### Postulates, theorems, and terms(payton)

Question | Answer |
---|---|

conditional statement | type of logical statement that has 2 parts, a hypothesis and conclusion |

if-then form | form of conditional statement that uses the words "if" and "then" |

hypothesis | The "if" part of a conditional statement |

conclusion | the "then" part of a conditional statement |

converse | the statement formed by switching the hypothesis and conclusion of a conditional statement |

negation | the negative of a statement. the symbol is ~ |

inverse | statement formed when you negate the hypothesis and conclusion of a conditional statement |

contrapositive | statement formed when you negate the hypothesis and conclusion of the converse of a conditional statement |

equivalent statement | 2 statements that are both true or both false |

perpendicular lines | 2 lines that intersect to form a right angle |

line perpendicular to a plane | the line that intersects the plane in a point and is perpendicular to every line in the plane that intersects it |

bi-conditional statement | a statement that contains the phrase "if and only if" |

logical argument | argument based on deductive reasoning, which uses facts, definitions, and accepted properties in a logical order |

theorem | true statement that follows as a result of other true statements |

two-column proof | a type of proof written as numbered statements and reasons that show the logical order of an argument |

paragraph proof | type of proof written in paragraph form |

postulate 5 | through any 2 points there exist exactly 1 line |

postulate 6 | a line contains at least 2 points |

postulate 7 | if 2 lines intersect, then their intersection is exactly 1 point |

postulate 8 | through any 3 non-collinear points there exists exactly 1 plane |

postulate 9 | a plane contains at least 3 non-collinear points |

postulate 10 | if 2 points lie in a plain, then the line containing them lies in the plane |

postulate 11 | if 2 planes intersect, then their intersection is a line |

postulate 12 | if 2 angles form a linear pair, then they are supplementary |

2.1 properties of segment congruence | reflexive: for any segment AB, AB = AB symmetric: if AB = CD, then CD =AB transitive: if AB = CD, and CD = EF, then AB = EF |

2.2 properties of angle congruence | reflexive: for any angle A,<A = <A symmetric: if <A = <B, then <B = <A transitive: if <A = <B and <B = <C, then <A = <C |

2.3 right angle congruence | all right angles are congruent |

2.4 congruent supplements | if 2 angles are supplementary to the same angle then they are congruent |

2.5 congruent complements | if 2 angles are complement to the angle then the 2 angles are congruent |

2.6 vertical angles | vertical angles are congruent |

Created by:
payton1