What are the symmetries of an equilateral triangle?
Triangle R1R2 FAFBFC ID counting Composition Groups Notice these symmetries are maps, i.e., functions, from the plane to itself, i.e., each has the form f : R2!R2:Thus we can compose symmetries as functions: If f 1;f 2 are symmetries then f 2 f 1(x) = f 2(f 1(x));is also a rigid motion. Notice, the composition must also be a symmetry of the triangle. For example, R
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