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# Chapter 5 spencer

### spencer siers

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

locus | is a set of points that points that satisfies am given condition |

concurrent | when three or more lines intersect at one point |

point of concurrency | the point where they intersect |

circrumcenter of the triangle | the three perpendicular bisectors of a triangle are concurrent |

circumscribed | a circle that contains all vertical angles of a polygon |

incenter of a triangle | a triangle has 3 sides,its has 3 bisectors,so the angle bisectors of a triangle are concurrent |

median of a triangle | is a segment whose endpoint are a vertex of the triangle and the midpoint of the opposite sides |

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

altitude of a triangle | is a perpendicular segment from a vertex to the line containing the opposite side |

midsegment of a triangle | is a segment that joins the midpoints of two sides of the triangle |

indirect proof | when you begin assuming the proof is wrong |

angle bisector theorem | if a point is on the bisector of an angle,then it is equidistant from the sides of the angle |

converse of the angle | if a point in the interior of an angle is equidistant from the sides of the angle |

perpendicular bisector angles theorem | if a point is on the perpendicular bisector of a segment then it is equidistant from the endpoints of the segment |

converse of the perpendicular bisector theorem | if a point is equidistant from the endpoints of a segment then it is on the perpendicular bisector of the segment |

Created by:
bhsgeometry