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# Geometry Unit 10

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

Circle | the set of all points in a plane that are equidistant from a given point called the center |

Center | The point that is equidistant to the set of points |

Radius | A segment whose endpoints are the center and any point on a circle |

Chord | A segment whose endpoints are on a circle |

Diameter | A chord that contains the center of the circle |

Secant | A line that intersects a circle in two points |

Tangent | A line in the plane of a circle that intersects the circle in exactly one point |

Point of Tangency | The point in which the tangent intersects the circle |

Tangent Circles | Coplanar Circles that intersect in one point |

Concentric Circles | Coplanar Circles that have a common center |

Common External Tangent | A tangent that does not intersect the segment that joins the centers |

Common Internal Tangent | A tangent that intersects the segment that joins the centers |

Tangent Line to Circle Theorem | In a plane, a line is tangent if and only if the line is perpendicular to a radius of the circle at its endpoint on the circle. |

External Tangent Congruence Theorem | Tangent Segments that form a common external point are congruent. |

Central Angle | An angle whose vertex is the center of a circle |

Minor Arc | Is less than 180 degrees |

Major Arc | Is more than 180 Degrees |

Arc Addition Postulate | The measure of an arc formed by two adjacent arcs is the sum of the measures of the two arcs |

Congruent Circles Theorem | Two circles are congruent circles if and only if they have the same radius |

Congruent Central Angles Theorem | In the same circle or in congruent circles two minor arcs are congruent if an only if their corresponding central angles are congruent. |