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# Geometry Proofs

### Names of Properties and Proofs

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

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 A*C=B*C |

Division Property of Equality | If A=B then A/C=B/C |

Reflexive Property of Equality | A=A |

Symmetric Property of Equality | If A=B then B=A |

Transitive Property of Equality | If A=B and B=C, then A=C |

Substitution Property | If A=B then B can replace A |

Distributive Property | A(B+C)=AB+AC |

Inductive Reasoning | Reasoning based on observed patterns |

Conjecture | A conclusion you reach from inductive reasoning |

Deductive Reasoning | Reasoning logically from given statements or facts to a conclusion |

Segment Addition Postulate | AB+BC=AC |

Angle Addition Postulate | M<AOB+M<BOC=M<AOC |

Vertical Angles Theorem | Vertical Angles are always congruent |

Midpoint Theorem | If M is the midpoint of line AB then line AM is congruent to line AB |

Congruent Complements Theorem | If <1 and <2 are complements and <2 and <3 are complements, then <1 is congruent to <3 |

Congruent Supplements Theorem | If <1 and <2 are supplements and <2 and <3 are supplements, then <1 is congruent to <3 |

Definition of Congruence | Line AM is congruent to line MB then AM is congruent to MB |

Definition of.... | Used to prove something. (Example: Definition of Linear Pair) |

All Right Angles are Congruent | A 90 degree angle is congruent to a 90 degree angle |

Created by:
alixrainsbury