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# Geometry Chapter 5

### McDougal Littell Vocab.

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

A segment, ray, line, or segment that is perpendicular to a side of a triangle at the midpoint of the side. | perpendicular bisector |

The same distance from one point as from another point. | equidistant from two points |

The length of the perpendicular segment from the point to the line. | distance from a point to a line |

The same distance from one line as from another line. | equidistant from two lines |

A line, ray, or segment that is perpendicular to a side of a triangle at the midpoint of the side. | perpendicular bisector of a triangle |

Three or more lines that intersect in the same point. | concurrent lines |

The point of intersection of concurrent lines. | point of concurrency |

The point of concurrency of the perpendicular bisector of a triangle. | circumcenter of a triangle |

A bisector of an angle of the triangle. | angle bisector of a triangle |

The point of concurrecy of the angle bisectors of a triangle. | incenter of a triangle |

A segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side. | median of a triangle |

The point of concurrency of the medians of a triangle. | centroid of a triangle |

The perpendicular segment from a vertex of a triangle to the opposite side or to the line that contains the opposite side. | altitude of a triangle |

The point of concurrency of the lines containing the altitudes of a triangle. | orthocenter of a triangle |

A segment that connects the midpoints of two sides of a triangle. | midsegment of a triangle |

A proof in which you prove that a statement is true by first assuming that its opposite is true. If this assumption leads to an impossibility, then you have proved that the original statement is tre. | indirect proof |

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