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Math Help - [SOLVED] rhombus analytic geometry

  1. #1
    Member helloying's Avatar
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    [SOLVED] rhombus analytic geometry

    just tell me how to solve the first step. i have no idea how to start
    Attached Thumbnails Attached Thumbnails [SOLVED] rhombus analytic geometry-img006.jpg  
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  2. #2
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    Quote Originally Posted by helloying View Post
    just tell me how to solve the first step. i have no idea how to start
    Show that (-1, 2) lies on the line y=x+3 and show that it's equidistant from P and R.
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  3. #3
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    Quote Originally Posted by helloying View Post
    just tell me how to solve the first step. i have no idea how to start
    If PQRS is a rhombus, then its 4 sides are equal in lengths.
    So, PS = RS
    Let (a,b) be the coordinates of S.
    Then,
    ((a+3)^2 +(b -8)^2 = (a -5)^2 +(b -4))^2 -----(1)

    In the line y = x+3,
    b = a +3 -----------(2)

    Solve those two equations simultaneously to find "a" and b.

    ---------------------
    For the coordinates of Q:

    See the relation of point P to point S.
    It must be the same retion of point Q to point R.
    Thus, Q is (5 +(-3 -a)),(4 +(8 -b))
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  4. #4
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    Is that an AS level paper?

    Anyway, the figure is a rhombus, so all its sides are equal. All you have to do is... FIRST, use the distance formula to show that (-1, 2) is equidistant from P (-3, 8)  and  R (5, 4), or show that SR = PR . SECONDLY, plug in  (-1, 2) into  y = x + 3 and show that it satisfies the equation.

    I hope that helps.

    me07.
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  5. #5
    Member helloying's Avatar
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    [quote=ILoveMaths07;193459]Is that an AS level paper?


    Nope!this is not AS level. This is O level
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