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# Pre-Cal Postulates &

### Postulates, Theorem, & Definitions

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

Definition of Alternate Interior Angles | When two lines are crossed by another line (which is called the Transversal), the pairs of angles on opposite sides of the transversal but inside the two lines are called Alternate Interior Angles. |

Alternate Interior Angles Theorem | The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent. |

Corresponding Angles Postulate | when two parallel lines are cut by a transversal, the resulting corresponding angles are congruent. |

Definition of a Linear Pair | a pair of adjacent angles formed when two lines intersect. The two angles of a linear pair are always supplementary, which means their measures add up to 180o. |

Definition of Corresponding Angles | when two lines are cut by a third line, a transversal. |

Definition of perpendicular lines | two lines that intersect to form a right angle pg. 96 |

addition property of equality | if a=b then a+c=b+c |

subtraction property of equality | if a=b, then a-c=b-c |

multiplication of equality | if a=b, then ac=bc |

Division property of equality | if a=b and c is not equal to 0, then a/c=b/c |

substitution property of equality | if a=b, then "a" can be substituted for "b" in any equation or expression |

distributive property | a(b+c)=ab+ac;where "a", "b", and "c" are real numbers. |

reflexive property of equality | for any real numbers,a, a=a for any segments Ab,Ab=ab for any angle "A", m<a = m<a |

Symmetric property of equality | For any real numbers a=b, then b=a For any segments ab and cd, if ab=cd,then cd=ab for any angles a and b, if m<a=m<B, then m<b=m<a |

transitive property of equality | for |

Created by:
amy havlick