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transformations Reflection problem 4
If M1(T) and M2(T) are two reflections of shape T, is it true that M1.M2(T) = M2.M1(T)?
Please enable Java for an interactive construction (with Cinderella).

Study the above construction. You should see that the answer is No. Combination of reflections is non-commutative. Can you move the mirror lines so the two resulting images coincide?
See if you can make this construction yourself:


Please enable Java for an interactive construction (with Cinderella). Please enable Java for an interactive construction (with Cinderella).
Please enable Java for an interactive construction (with Cinderella).