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# Ch. 5 Theorems

### HS Freshman Honors Geometry 5-1~5-3 Theorems

Theorem | Theorem Stated |
---|---|

5-1 | Opposite sides of a parallelogram are congruent |

5-2 | Opposite angles of a parallelogram are congruent |

5-3 | Diagonals of a parallelogram bisect each other |

5-4 | If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram |

5-5 | If one pair of opposite sides of a quadrilateral are both congruent and parallel, then the quadrilateral is a parallelogram |

5-6 | If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram |

5-7 | If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram |

5-8 | If two lines are parallel, then all points on one line are equidistant from the other line |

5-9 | If three parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal |

5-10 | A line that contains the midpoint of one side of a triangle and is parallel to another side passes through the midpoint of the third side |

5-11 | The segment that joins the midpoints of two sides of a triangle is parallel to the third side and half as long as the third side |

parallelogram | quadrilateral with both pairs of opposite sides parallel |

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