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# Parallel Lines

### Theorems regarding parallel and perpendicular lines.

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

If two parallel lines are crossed by a transversal, then alternate interior angles are... | congruent. |

If two parallel lines are crossed by a transversal, then corresponding angles are... | congruent. |

If two parallel lines are crossed by a transversal, then alternate exterior angles are... | congruent. |

If two parallel lines are crossed by a transversal, then same side interior angles are... | supplementary. |

If two parallel lines are crossed by a transversal, then same side exterior angles are... | supplementary. |

If two lines intersect, then... | vertical angles are congruent. |

If two lines and a transversal form alternate interior angles that are congruent, then... | the lines are parallel. |

If two lines and a transversal form alternate exterior angles that are congruent, then... | the lines are parallel. |

If two lines and a transversal form same side interior angles that are congruent, then... | the lines are parallel. |

If two lines and a transversal form same side exterior angles that are congruent, then... | the lines are parallel. |

If two lines and a transversal form corresponding angles that are congruent, then... | the lines are parallel. |

If two lines are parallel to the same line, then... | they are parallel to each other. |

In a plane, if two lines are perpendicular to the same line, then... | they are parallel to each other. |

In a plane, if a line is perpendicular to one of two parallel lines, then... | it is perpendicular to the other. |

Created by:
mburke79