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# Properties

### Geometry Properties

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

A logical explanation using statements, postulates, definitions and theorems | Proof |

Any geometric idea we assume to be true. | Postulate |

Any geometric idea that can be proved. | Theorem |

If x = −4, then x + 4 = −4 + 4 | Addition Property of Equality |

If r + 1 = 7, then r + 1 − 1 = 7 − 1 | Subtraction Property of Equality |

If k/2 =8,then k/2(2)=8(2) | Multiplication Property of Equality |

15 = 15 | Reflexive Property |

If n = 2, then 2 = n | Symmetric Property |

If x = 7, then 2x = 2(7). | Substitution |

If a = b, then a + c= b + c. | Addition Property of Equality |

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

If a = b, then a-c = b-c | Subtraction Property of Equality |

If a= b then ac = bc | Multiplication Property of Equality |

If a = b then a/c = b/c | Division Property of Equality |

a = a | Reflexive Property of Equality |

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

If a = b, then b can be substituted into any expression | Substitution |

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

If x = a and a = y then a = y | Transitive Property |

Created by:
kmconnell10