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# Math vocab (Proofs)

Statement | Reason |
---|---|

M is the Midpoint of seg. AB ----AM = MB | Defintion of midpoint |

M is the midpoint of seg. AB ----seg. AM ≅ seg. AB | Midpoint theorem |

seg. AB ≅ seg. XY -----AB = XY AB = XY -----seg. AB ≅ seg. XY | Defintion of congruent segments |

AC=AB+BC | Segment Addition postulate |

AB=CD CD=EF AB=EF | Transitive property/congruence |

AB=CD ----CD=AB | Symetric property |

AB=AB | Reflexive property |

m<4= 120 degrees m<2=m<4 ----m<2=180 degrees | subsitution |

<1≅<2 ----m<1=m<2 m<1=m<2 ----<1≅<2 | Definition of congruent angles |

m<ABC+m<CBD=m<ABD | Angle Addition postulate |

<1 and <2 are a linear pair ---<1 and <2 are supplementary | Supplement theorem |

<1 and <2 are supplementary ----m<1 + m<2 = 180 degrees m<1 + m<2 = 180 ----<1 and <2 are supplementary | Defintion of supplementary |

<1 and <2 are complementary ----m<1 + m<2 = 90 degrees m<1 + m<2 = 90 degrees ----<1 and <2 are complementary | Defintion of Complementary |

<A and <B are supplementary <B and <C are supplementary ----<A ≅ <C | Congruent Supplement theorem |

<A and <B are complementary <B and <C are complementary ----<A ≅ <C | Congruent complement theorem |

<A and <B are vertical angles ----<A ≅ <B | Vertical angles are congruent |

Line m perpendicualr line n ----<1 is a right angle | Defintion of perpendicular |

<X is a right angle ---m<X = 90 degrees | Defintion of a right angle |

<Y and <Z are right angles ----<Y ≅ <Z | All right angles are congruent |