Results 1 to 4 of 4

Math Help - Finding Perpendicular Bisector

  1. #1
    Newbie
    Joined
    Nov 2006
    Posts
    3

    Finding Perpendicular Bisector

    Question: Find the perpendicular bisector of the line segment with endpoints (5,2) and (-3,6).

    I don't remember the procedure to do this.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    10,184
    Thanks
    403
    Awards
    1
    Quote Originally Posted by adam182 View Post
    Question: Find the perpendicular bisector of the line segment with endpoints (5,2) and (-3,6).

    I don't remember the procedure to do this.
    There is more than one bisector, so there is no unique solution to this. The key is that slope of the perpendicular bisector (m2) is the negative inverse of the slope of the line (m1), ie. m_2 = -\frac{1}{m_1}.

    For example, the slope of your line is:
    m = \frac{6 - 2}{-3 -5} = \frac{3}{-8} = -\frac{3}{8}

    So the slope of the perpendicular bisector is
    m' = - \frac{1}{m} = - \frac{1}{- \frac{3}{8} } = \frac{8}{3}

    -Dan
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,830
    Thanks
    123
    Quote Originally Posted by adam182 View Post
    Question: Find the perpendicular bisector of the line segment with endpoints (5,2) and (-3,6).
    I don't remember the procedure to do this.
    Hello, adam,

    I'm not quite sure if I found the right explanation:
    Perpendicular bisector passes through the midpoint of the line and has the perpendicular direction:

    M((5+(-3))/2,(2+6)/2). So M(1,4)

    The slope of the perpendicular bisector has been calculated by topsquark.
    Now use point-slope-formula of a straight line:

    \frac{y-4}{x-1}=\frac{8}{3}. Solve for y:

    y = \frac{8}{3} \cdot x+\frac{4}{3}

    EB
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    10,184
    Thanks
    403
    Awards
    1
    Perpendicular bisector. The key word was in my face the whole time! Oops! Thank you, earboth, for finishing that.

    -Dan
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. perpendicular bisector
    Posted in the Geometry Forum
    Replies: 2
    Last Post: October 19th 2011, 01:46 PM
  2. Perpendicular Bisector
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: July 3rd 2011, 08:31 PM
  3. Perpendicular bisector
    Posted in the Geometry Forum
    Replies: 2
    Last Post: October 11th 2010, 05:29 PM
  4. Perpendicular Bisector?
    Posted in the Geometry Forum
    Replies: 3
    Last Post: July 10th 2010, 06:03 AM
  5. Finding the Perpendicular bisector.
    Posted in the Algebra Forum
    Replies: 3
    Last Post: February 18th 2010, 03:27 PM

Search Tags


/mathhelpforum @mathhelpforum