Results 1 to 5 of 5

Math Help - Show the right bisectors of eachother.

  1. #1
    Newbie
    Joined
    Jun 2010
    Posts
    11

    Show the right bisectors of eachother.

    There's nothing i'm more confused with then bisectors.

    The points are, P(3,2) - S(5,8) - R(11,10) and Q (9,4).


    The question is, Show that the diagonals of PQRS are the right bisectors of eachother. Use midpoints and slopes in your solution.
    So i'm assuming you get the midpoint of each, then the slopes of S and Q. Then the slopes of P and Q.

    Then they should be perpendicular to eachother? Which makes them the right bisectors of eachother?
    I don't fully understand the question. Not sure if my theory is right or not, anyway.

    Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Dec 2007
    From
    Ottawa, Canada
    Posts
    3,069
    Thanks
    65
    Quote Originally Posted by rocky123 View Post
    The points are, P(3,2) - S(5,8) - R(11,10) and Q (9,4).
    PR: slope = (10-2)/(11-3) = 1
    QS: slope = (8-4)/(5-9) = -1
    So they cross at right angles; carry on...
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jun 2010
    Posts
    11
    Quote Originally Posted by Wilmer View Post
    PR: slope = (10-2)/(11-3) = 1
    QS: slope = (8-4)/(5-9) = -1
    So they cross at right angles; carry on...


    Yeah, but is that my answer?
    Because I see no use of midpoints.


    I'm just a bit confused, because "Show that they are the right bisectors of eachother" which would cause them to be perpendicular.

    So therefore what you did tell me is the right answer, yet there's no use of midpoints?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Joined
    Dec 2007
    From
    Ottawa, Canada
    Posts
    3,069
    Thanks
    65
    Quote Originally Posted by rocky123 View Post
    The points are, P(3,2) - S(5,8) - R(11,10) and Q (9,4).
    The question is: Show that the diagonals of PQRS are the right bisectors of each other. Use midpoints and slopes in your solution.
    Question would be clearer this way:
    Show that the diagonals PR and QS cross at right angles,
    and bisect each other.

    We've shown that they cross at right angles, from slopes being 1 and -1.

    So now to show that that bisect each other:
    midpoint of PR = (7,6)
    midpoint of QS = (7,6)
    So they bisect each other!
    I'm sure you know how to get the 2 midpoints
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    Jun 2010
    Posts
    11
    ... /facepalm.

    I see now, I just wrote down the midpoints and then used the slope formula on the midpoints.


    Time to throw that in the garbage... Ugh.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Bisectors in tetrahedron
    Posted in the Geometry Forum
    Replies: 8
    Last Post: December 3rd 2010, 02:25 PM
  2. Probability 2 people are next to eachother
    Posted in the Statistics Forum
    Replies: 11
    Last Post: January 14th 2010, 04:09 PM
  3. About Perpendicular Bisectors
    Posted in the Geometry Forum
    Replies: 2
    Last Post: December 25th 2009, 11:19 AM
  4. Do these texts contradict eachother?
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: November 4th 2009, 11:26 AM
  5. Do these texts contradict eachother?
    Posted in the Discrete Math Forum
    Replies: 0
    Last Post: November 4th 2009, 09:12 AM

Search Tags


/mathhelpforum @mathhelpforum