Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

Normal Size Small Size show me how

Normal Size Small Size show me how

# perpendicular and pa

### Geometry perpendicular and parallel lines postulates and theorems (chp. 3)

hypothesis | conclusion |
---|---|

If two parallel lines are cut by a transversal | then each pair of corresponding angles is congruent |

If two parallel lines are cut by a transversal | then each pair of alternate interior angles is congruent |

If two parallel lines are cut by a transversal | then each pair of consecutive interior angles is supplementary |

If two parallel lines are cut by a transversal | then each pair of alternate exterior angles is congruent |

In a plane, if a line is perpendicular to one of two parallel lines | then it is perpendicular to the other |

Two nonvertical lines have the same slope if and only if | they are parallel |

Two nonvertical lines are perpendicular if and only if | the product of their slopes is -1 |

If two parallel lines are cut by a transversal so that corresponding angles are congruent | then the lines are parallel |

If there is a line and a point not on the line | then there exists exactly one line through the point that is parallel to the given line |

If the two lines in a plane are cut by a transversal so that a pair of alternate exterior angles is congruent | then the two lines are parallel |

If the two lines in a plane are cut by a transversal so that a pair of consecutive interior angles is supplementary | then the lines are parallel |

If the two lines in a plane are cut by a transversal so that a pair of alternate interior angles is congruent | then the lines are parallel |

In a plane, if two lines are prependicular to the same line | then they are parallel |

In a plane, if two lines are prependicular to the same line | then they are parallel |

In a plane, if two lines are each equidistant from a third line | then the two lines are parallel to each other |

Coplanar lines that do not intersect are | parallel lines. |

Point-slope form | An equation of the form y-y1=M(x-x1), where (x1, y1)are the coordinates of any point on the line and "M" is the slope of the line. |

Lines that do not intersect and are not coplanar are | skew lines. |

Slope-intercept form | A linear equation of the form Y=MX+B. The graph of such an equation has slope "M" and Y-intercept "B". |

A line that intersects two or more lines in a plane at different points is a | transversal. |

Created by:
m.meyer