Results 1 to 3 of 3

Math Help - Locus Theorem: (parallel lines)

  1. #1
    MHF Contributor
    Joined
    Jul 2008
    From
    NYC
    Posts
    1,489

    Locus Theorem: (parallel lines)


    The locus of points equidistant from two parallel lines, l1 and l2 , is a line parallel to both l1 and l2 and midway between them.

    Can someone please explain what the above theorem mean in easy words?

    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by magentarita View Post
    The locus of points equidistant from two parallel lines, l1 and l2 , is a line parallel to both l1 and l2 and midway between them.

    Can someone please explain what the above theorem mean in easy words?
    All the points between lines L1 and L2 that are the same distance from L1 and L2 lie on a line. That line is parallel to L1 and L2 and is halfway between L1 and L2.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Joined
    Jul 2008
    From
    NYC
    Posts
    1,489

    ok............

    Quote Originally Posted by mr fantastic View Post
    All the points between lines L1 and L2 that are the same distance from L1 and L2 lie on a line. That line is parallel to L1 and L2 and is halfway between L1 and L2.
    Thanks
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 6
    Last Post: February 24th 2011, 01:26 AM
  2. Replies: 1
    Last Post: March 14th 2010, 01:22 PM
  3. Parallel lines theorem
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: February 13th 2010, 10:43 AM
  4. Replies: 2
    Last Post: January 25th 2009, 08:41 PM
  5. Locus Theorem: (intersecting lines)
    Posted in the Geometry Forum
    Replies: 0
    Last Post: November 15th 2008, 09:21 PM

Search Tags


/mathhelpforum @mathhelpforum