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# Geometry Chapter 3

### Angles, Parallel Lines, Perpendicular Lines

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

Zero Angle | An angle that measures zero degrees; a ray. |

Straight Angle | An angle measuring 180 degrees; a line. |

Right angle | An angle measuring 90 degrees. A box must be drawn to indicate a right angle, or you must be told a specific angle is a right angle. |

Angle bisector | A line, line segment, or ray that divides an angle in half. |

Complementary angles | A pair of angles whose sum equals 90 degrees. Complementary angles do not need to be adjacent angles. |

Supplementary angles | A pair of angles whose sum equals 180 degrees. Supplementary angles do not need to be adjacent. |

Linear Pair | A pair of angles that form a line, sharing the same vertex and a side of each angle. These angles MUST be adjacent. |

Vertical angles | Non-adjacent, congruent angles formed by intersecting lines. There are two pairs of vertical angles when two lines intersect. |

Acute angle | An angle that measures 0<x<90 degrees. |

Obtuse angle | An angle that measures 90<x<180. |

Midpoint | Some point M on segment AB such that AM=MB. |

Circle | Coplanar points that are equidistant from a center point. |

Minor Arc | An arc measuring 0<x<180 degrees on a circle. |

Major arc | An arc measuring 180<x<360 degrees on a circle. |

Reflexive property of equality | For all real numbers "x"; x=x. |

Symmetric property of equality | For all real numbers "a" and "b", If a=b, then b=a. |

Transitive property of equality | For all real numbers "a", "b", and "c", If a=b and b=c, then a=c. |

Additive property of equality | For all real numbers "a", "b", and "c", If a=b, then a+c=b+c. |

Multiplication property of equality | For all real numbers "a", "b", and "c", If a=b, then ac=bc. |

Additive property of inequality | For all real numbers "a", "b", and "c", If a<b, then a+c<b+c. |

Multiplication property of inequality | For all real numbers "a", "b", and "c", If a<b and c>0, then ac<bc. If a<b and c<0, then ac>bc. |

Transitive property of inequality | For all real numbers "a", "b", and "c", If a<b and b<c, then a<c. |

Equation to the Inequality property | For all real numbers "a", "b", and "c", If a+b=c, then c>a and c>b. |