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Math Help - Rectangle/Symmetry Problem

  1. #1
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    Rectangle/Symmetry Problem



    The diagram is just a rough representation. ABCD is a rectangle with BC = 4 and AB = 6. Points P, Q, and R are different points on a line that is parallel to line AD. Points P and Q are symmetric about line AB and points Q and R are symmetric about line CD. What is the length of line PR?

    -----

    I know I must be missing something simple... I've tried several things such as triangles using the diagonal of the rectangle. I also tried this:

    Let x equal the distance between point Q and line AB.
    Let 4-x equal the distance between point Q and line CD.

    PR = 2x + 2(4-x)

    Any hints? What am I missing?
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  2. #2
    A Plied Mathematician
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    What am I missing?
    Nothing whatever except the simplification of your expression!
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