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I defined a matrix and use it to transform a square defined by four points. (In[85])

It seems the transformation keeps the length of the square. (In[91])

Now I plot the original square, the axis of symmetry, and the transformed square to an image. But on the image, the length of the transformed square is not same as the original one. (In[124])

How to fix the problem?

The code is available to download at https://dl.dropboxusercontent.com/u/11245547/plot.nb.

enter image description here

enter image description here

enter image description here

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    $\begingroup$ I'm not sure I understand the question, but maybe you need AspectRatio->3/4 (approximately) in order for the final image to have the same scale on both axes. Another option is to change the plot range: PlotRange -> {{0, 4}, {-2, 2}}. $\endgroup$
    – mickep
    Commented Oct 18, 2014 at 6:27
  • $\begingroup$ @mickep Oh, yes. I didn't notice the aspect ratio of the final image is actually not 1. I change the aspect ratio of p1 to Automatic, then the proportion of the final image is right. $\endgroup$
    – Gqqnbig
    Commented Oct 18, 2014 at 6:56

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