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# Postul. and Theorems

### Familiarize yourself with postulates and theorems

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

Angle Addition Postulate | putting two angles side by side with their vertices together creates a new angle whose measure equals the sum of the measures of the two original angles |

Vertical Angle Theorem | Angles that are opposite each other and congruent |

Congruent Supplements Theorem | if two angles, 1 and 2, are both supplementary to the same angle, angle 3, then angle 1 and angle 3 are congruent. |

Congruent Complement Theorem | If 2 angles are complementary to the same angle, then they are congruent to each other |

Linear Pair Postulate | two angles that form a linear pair are supplementary and adjacent |

Parallel Postulate | There is only one line that can go through a point not on a line, that will create a parallel line. |

Perpendicular Postulate | There is only one line that can go through a point not on a line, that will be perpendicular to another line. |

Corresponding Postulate | Congruent angles, on the same side of the transversal and corresponding, formed by two parallel lines being cut by a transversal |

Alternate Interior Theorem | Congruent angles that lie on opposite sides of a transversal, and lie in between two parallel lines. |

Consecutive Interior Theorem | Supplementary angles that lie on the same side of a transversal and inside two parallel lines |

Alternate Exterior Theorem | Congruent angles that lie on opposite sides of a transversal and are outside two parallel lines |

Perpendicular Transversal Theorem | If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other |