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# Lawson Geo Ch 2

### Geometry Ch 2 Reasoning and Proof

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

Conjecture | An educated guess based on known information or observing a pattern |

Counterexample | An example used to show that a given statement is not always true |

Hypothesis | The phrase immediately following the word if in a conditional statement. |

Conclusion | The phrase immediately following the word then in a conditional statement |

Law of Detachment | (1) If a student attends BBC, then the student has an ID number. (2) Joel attends BBC. (3) Joel has an ID number. |

Law of Syllogism | (1) If a student attends BBC, then the student has an ID number. (2) If a student has an ID number, then they can check out library books. (3) If a student attends BBC, then they can check out library books. |

Reflexive Property | AB=AB |

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

Transitive Property | If AB=CD and CD=EF, then AB =EF. |

Substitution Property | If a=b, then a may be replaced by b in any equation or expression. |

Distributive Property | a(b+c)=ab+ac |

Supplement Theorem | If <1 and <2 form a linear pair, then m<1 + m<2 = 180. |

Complement Theorem | If the noncommon sides of two adjacemt angles form a right angle, then the angles are complementary angles. |

If m<1 + m<2 = 180 and m<2 + m<3 = 180, then <1 = <2. | Angles supplementary to the same angle or to congruent angles are congruent. |

One Line | Through any two points, there is exactly_____ |

One Plane | Through any three points not on the same line, there is exactly _________ |

Two points | A line contains at least ________ |

Three points | A plane contains at least ___________ not on the same line. |

One Point | If two lines intersect, then their intersection is exactly ______________ |

A Line | If two planes intersect, then their intersection is _________ |

Created by:
ang2lawson