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# VOCAB.

### Parallel and Perpendicular Lines vocabulary

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

parallel lines | coplanar lines that do not intersect |

skew lines | are noncoplanar; they are not parallel and do not intersect |

Alternate Interior Angles | nonadjacent interior angles that lie on the opposite side of the transversal |

same side interior angles | interior angles that lie on the same side of the transversal |

corresponding angles | lie on the same side of the transversal T and in corresponding postions |

alternate exterior angles | nonadjacent exterior angles that lie on the opposite side of the transversal |

Postulate 1-3 Same Side interior angles postulate | if a transversal intersects two parallel lines, then the same side interior angles are supplementary |

Theorem 3-1 alternate interior angles theorem | if a transversal intersects two parallel lines, then the alternate interior angles are congruent |

Theorem 3-2 corresponding angles theorem | if a transversal intersects two parallel lines, then the corresponding angles are congruent |

alternate exterior angles theorem | if a transversal intersects two parallel lines, the alternate exterior angles are congruent |

converse of the corresponding angles theorem | if two lines and a transversal form corresponding angles that are congruent, then the lines are parallel |

converse of the alternate interior angles theorem | if 2 lines and a transversal form corresponding angles that are congruent, then the 2 lines are parallel |

converse of same side interior angle | if 2 lines and a transversal form same side interior angles that are supplementary, then the 2 lines are parallel |

Theorem 3-7 Converse of alternate exterior angles theorem | if 2 lines and a transversal form alternate exterior angles that are congruent, then the 2 lines are parallel. |

Theorem 3-8 | if two lines are parallel to the same line, then they are parallel to each other |

Theorem 3-9 | in a plane, if 2 lines are perpendicular to the same line, then they are parallel to each other |

Theorem 3-10 | in a plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other |

Postulate 3-2 Parallel postulate | through a point not on a line, there is one and only one line parallel to that given line |

Created by:
baileyb