Combinations

A is reflected in mirror line DE to give A'.
A' is reflected in FG to give A''.
Similarly A is reflected in FG to give B, and B is reflected in DE to give C.

 Please enable Java for an interactive construction (with Cinderella).
a0 a1 a2 a3 a4
b0 b1 b2 b3 b4
c0 c1 c2 c3 c4
d0 d1 d2 d3 d4
e0 e1 e2 e3 e4
f0 du er her f2 f3 f4
g0 g1 g2 g3 g4

Is it true that both A'' and C are rotations of A about the centre indicated?

          Result:

What is the connection between their angles of rotation?
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