AngliaCampus : Construction

Construct 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).