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Math Help - quadrilateral help!!

  1. #1
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    quadrilateral help!!

    what values of a and b make quadrilateral MNOP a parallelogram?no=21 op=13 mp=4a+b mn=3a-2b
    Last edited by Jhevon; April 26th 2009 at 12:10 PM.
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  2. #2
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    Quote Originally Posted by breezyana14 View Post
    what values of a and b make quadrilateral MNOP a parallelogram?no=21 op=13 mp=4a+b mn=3a-2b
    If the quadrilateral is a parallelogram then

    |\overline{MN}| = |\overline{OP}|  = 13
    and
    |\overline{PM}| = |\overline{ON}|  = 21

    That means you have a system of simultaneous equations:

    \left|\begin{array}{lcr}4a+b&=&21\\3a-2b&=&13\end{array}\right.

    I've got a = 5 and b = 1
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