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# Chapter 5

### 5.1- Geometry Vocab

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

Equidistant | equally distant |

Perpendicular Bisector | a line that bisects another line segment at a right angle, through the midpoint of the line segment |

Converse of the Perpendicular Bisector Theorem | if a point is equidistant from both the endpoints of the line segment in the same plane, then that point is on the perpendicular bisector of the line segment |

Perpendicular Bisector Theorem | any point on the perpendicular bisector is equidistant from both the endpoints of the line segment on which it is drawn. |

Concurrent Lines | lines that intersect at one point |

Point of Concurrency | the point where lines intersect |

Circumcenter | the point of concurrency of the perpendicular bisectors of a triangle |

Circumcenter Theorem | the perpendicular bisectors of a triangle intersect at a point called the circumcenter that is equidistant from the vertices of the triangle |

Circumcenter - acute triangle | circumcenter is inside the triangle |

Circumcenter- obtuse triangle | circumcenter is outside the triangle |

Circumcenter- right triangle | circumcenter is on the line of the triangle |

Circumcised circle | The center of a circle that circumscribes a triangle. |

Circumcised | is drawing a figure around another figure in such a way that the drawn figure touches the outer line or points of the inside figure without intersecting it |

Angle Bisector | A ray that divides an angle into two equal parts |

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 Bisector Theorem | If a point in the interior of an angle is equidistant from the sides of the angle, then it is on the bisector of the angle |

Incenter | the point of concurrency of the angle bisectors of a triangle |

Incenter Theorem | the angle bisectors of a triangle intersect at a point called the incenter that is equidistant from the sides of the triangle |

Inscribed circle | if a circle is present inside the a polygon in such a way that the sides of polygon are just touching the circumference of the circle |

Inscribed | to draw one shape inside another so that it just touches |