Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

Normal Size Small Size show me how

Normal Size Small Size show me how

# Adv. Geometry

### Postulates, Theorums, and Definitions

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

Segment Addition Postulate | If B is between A and C, the AB+BC=AC |

Angle Addition Postulate | If ∠AOC is a straight angle and B is any point not on ray AC, the m∠AOB+m∠BOC=180 |

Addition Property | If a=b and c=d, then a+c=b+d |

Subtraction Property | If a=b and c=d, then a-c=b-d |

Multiplication Property | If a=b, then ca=cb |

Division Property | If a=b and c≠0, then a/c=b/c |

Substitution Property | If a=b then either a or b may be substituted for the other in any equation (or inequality) |

Reflexive Property | a=a |

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

Transitive Property | if a=b and b=c, then a=c |

Midpoint Theorem | If M is the midpoint of AB, then AM=1/2AB and MB=1/2AB |

The Angle Bisector Theorem | If BX is the bisector of ∠ABC, then m∠ABX=1/2m∠ABC and m∠XBC=1/2m∠ABC |

Vertical Angles Theorem | Vertical angles are congruent |

Perpendicular to Congruent Theorem | If two lines are perpendicular, then they form congruent adjacent angles. |

Congruent to Perpendicular Theorem | If two lines form congruent adjacent angles, then they are perpendicular. |

Exterior with Perpendicular to Complimentary Theorem | If the exterior sides of two adjacent acute angles are perpendicular, then the angles are complementary |

Supplementary Theorem | If two angles are supplements of congruent angles (or the same angle), then the two angles are congruent |

Complimentary Theorem | If two angles are compliments of congruent angles (or of the same angle), then the two angles are congruent |

Created by:
patrij16