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# Howard Geometry 3

### Chapter 3 Geometry Vocabulary

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

Parallel Planes | Two planes that do not intersect |

Perpendicular Lines | Two lines that intersect to form right angles |

Converse | A statement formed by switching the if and the then of an if-then statement |

Image | The figure after a transformation has occurred |

Alternate Interior Angles | Angles on opposite sides of the transversal and between the lines |

Alternate Exterior Angles | Angles on opposite sides of the transversal and outside the lines |

Same Side Interior Angles | Angles that lay on the same side of the transversal and between the two lines |

Corresponding Angles | Angles on the same side of the transversal and in the same position |

Vertex | The point where two sides of an angle meet |

Compass | The geometric tool used to construct circles |

Transversal | A line that intersects two or more coplanar lines at different points |

Construction | A geometric drawing that uses a compass and straight edge |

Translation | A set of instructions that maps a figure to an image |

Skew Lines | Two lines that do not intersect and are not on the same plane |

Parallel Lines | Two lines that do not intersect and are on the same plane |

Theorem 3.1: All right angles... | ...are congruent |

Theorem 3.2: If two lines are perpendicular, | ...then they intersect to form 4 right angles. |

Theorem 3.3: If 2 lines intersect to form adjacent congruent angles, | ...then the lines are perpendicular. |

Theorem 3.4: If 2 sides of adjacent acute angles are perpendicular, | ...then the angles are complementary. |

Corresponding Angles Postulate | If two parallel lines are cut by a transversal, then corresponding angles are congruent. |

Alternate Interior Angles Theorem | If two parallel lines are cut by a transversal, then alternate interior angles are congruent. |

Alternate Exterior Angles Theorem | If two parallel lines are cut by a transversal, then alternate exterior angles are congruent. |

Same-Side Interior Angles Theorem | If two parallel lines are cut by a transversal, then same-side interior angles are supplementary. |

Corresponding Angles Converse | If corresponding angles are congruent, then the lines are parallel. |

Alternate Interior Angles Converse | If alternate interior angles are congruent, then the lines are parallel. |

Alternate Exterior Angles Converse | If alternate exterior angles are congruent, then the lines are parallel. |

Same-Side Interior Angles Converse | If same-side interior angles are supplementary, then the lines are parallel. |

Parallel Postulate | If there is a line and a point not on the line, then there is exactly one line parallel to the line through the point. |

Perpendicular Postulate | If there is a line and a point not on the line, then there is exactly one line perpendicular to the line through the point. |

Theorem 3.11 | If two lines are parallel to the same line, then they are parallel to each other. |

Theorem 3.12 | If two lines are perpendicular to the same line, then they are parallel to each other. |