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Math Help - central reflections

  1. #1
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    central reflections

    (1) Let m and n be perpendicular lines through the origin O and let σm and σn
    denote the reflections about the lines m and n. Let σO denote the central
    reflection in O. Show directly, using the formulae for σm and σn, that
    σnσm = σO.
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  2. #2
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    σm(X)=2m-x
    σnσm(x)=σn(2m-x)=2n-2m+x
    σO=x

    i dont see how these two are equal. Any ideas?
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