Results 1 to 5 of 5

Math Help - Determining the vertices and its area

  1. #1
    Newbie
    Joined
    Jul 2012
    From
    Alabel
    Posts
    7

    Determining the vertices and its area

    a square whose vertices coincide with the endpoints of the line from (1,3) to (3,-1). determine the other vertices and its area.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,404
    Thanks
    1293

    Re: Determining the vertices and its area

    Quote Originally Posted by dwightlumanta321 View Post
    a square whose vertices coincide with the endpoints of the line from (1,3) to (3,-1). determine the other vertices and its area.
    You have one of the diagonals of your square, can you get its equation?
    Can you find its midpoint of this line segment and use this and the line to evaluate the equation of the other diagonal of your square?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jul 2012
    From
    Alabel
    Posts
    7

    Re: Determining the vertices and its area

    what does "coincide" means?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,404
    Thanks
    1293

    Re: Determining the vertices and its area

    Quote Originally Posted by dwightlumanta321 View Post
    what does "coincide" means?
    While I am not 100% sure, I took it to mean that the vertices given were opposite corners.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,682
    Thanks
    614

    Re: Determining the vertices and its area

    Hello, dwightlumanta321!

    We have a square. .Two of its vertices are (1,3) and (3,-1).
    Determine the other vertices and its area.

    The problem is not clearly stated.


    If the two vertices are consecutive vertices,
    . . there are two scenarios. .This is one of them.
    Code:
          |         +4    D
          |   + - - - - - o (5,5)
          |   :        *
          | +2:     *       *
          |     -* 
          | A o {1,3)         *
          |   :
          |   : *               *
          |   :                       C
          | -4:   *               o (7,1)
          |   :                *  :
      ----+---:-----*-------*-----: -2 ----
          |   :          *        :
          |   + - - - o - - - - - +
          |     +2  (3,-1)   +4
          |           B
    Going from A to B, we move right 2, down 4.
    Hence, going from B to C, we move right 4, up 2.
    And going from A to D, we move right 4, up 2.


    If those are opposite vertices, we have this diagram.
    Code:
          |
          |   A
          | (1,3)
          |   o - +
          |    \  :       D
          |     \ :       o (4,2}
          |      \:M      :
          + - - - o - - - +
         B:   (2,1)\
      ----o---------\----------
          |(0,0)     \
          |           o
          |         (3,-1)
          |           C
    To go from A(1,3) to M(2,1) (the midpoint of AC),
    . . we go 1 right, down 2.

    Hence, to go from M to B, we go left 2, down 1.
    And to go from M to D. we go right 2, up 1.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. area of a triangle with vertices
    Posted in the Geometry Forum
    Replies: 5
    Last Post: September 23rd 2011, 07:39 AM
  2. Area of a triangle given the vertices.
    Posted in the Geometry Forum
    Replies: 2
    Last Post: March 25th 2010, 07:13 PM
  3. Replies: 4
    Last Post: March 16th 2010, 07:04 PM
  4. Vertices of Rectangle with Max Area
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 12th 2009, 10:42 AM
  5. Area of a Parallelogram with Vertices..
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: January 11th 2009, 10:14 PM

Search Tags


/mathhelpforum @mathhelpforum