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  3. let s ? r and let g be an arbitrary isometry of r

Let S ? R and let G be an arbitrary isometry of R . Prove...

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Advance Math

Let S ? R and let G be an arbitrary isometry of R . Prove thatthe symmetry group of G(S) is isomorphic to the symmetry group ofS. Hint: If F is a symmetry of S, what is the correspondingsymmetry of G(S)?

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The Symmetry group of a set S is the group consisting of    See Answer
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