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# GS Postulates and Th

### GS - Geometry H. - Postulates and Theorems

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

Ruler Postulate | The distance between any two points equal the absolute value of the difference of there coordinates. |

Segment Addition Postulate | If B is the midpoint of A and C, then AB + BC = AC. |

Protractor Postulate | Computing the absolute value of the acute and obtuse degrees. |

Angle Addition Postulate | m |

A line contains at least ... points | Two. |

A plane contains at least ... points not all in one line. | Three. |

Space contains at least ... points not all in one plane. | Four. |

Through any two points, ... | There is at least one line. |

Through any three points, ... | There is at least one plane. |

Through any three noncollinear points, ... | There is exactly one plane. |

If two points are in a plane, ... | Then the line that contains the points are also in the plane. |

If two planes intersect, ... | Then there intersection is a line. |

If two lines intersect, ... | Then they intersect in exactly one point. |

Through a line and a point not on the line, ... | There is exactly one plane. |

If two lines intersect, ... | Then exactly one plane contains the lines. |

Midpoint Theorem | if M is the midpoint of segment AB, then AM 1/2AB and MB = 1/2AB |

Angle Bisector Theorem | If ray BX is the bisector of |

Vertical angles are ... | congruent. |

If two lines are perpendicular, then they form ... | congruent adjacent angles. |

If two lines form congruent adjacent angles, then they are | perpendicular. |

If the exterior sides of two congruent acute adjacent angles are perpendicular, then the angles are ... | complements. |

If two lines are perpendicular, then they form. Key Word: right angle (90 degrees) | right angles. |

If two lines form right angles, then the lines are ... | perpendicular. |

Created by:
MrGman