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## 'Reflecting Squarely' printed from http://nrich.maths.org/

An excellent solution from Andrei of School
205 Bucharest. I like this very much because of the effective and
systematic approach he took to investigating the problem.

Here is Andrei's solution:

I worked systematically. I took the big (yellow) piece and I
placed the rectangle in all the possible locations around it (both
vertically and horizontally). Then I looked if the figure admitted
a symmetry line (vertical, horizontal, or at a 45$^{\circ}$ angle)
if I added a small square (blue). Here is all my work and the
solutions I found, with the corresponding symmetry line:

Sara spotted that Andrei had missed a solution.

Here
is Sara's complete set - her last solution is the one missing in
the list above.