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5 Let P be the polygon with vertices 1 0 2 0 4 1 4 2 3 4 2 4 0 3 0 2 taken

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5 Let P be the polygon with vertices 1 0 2 0 4 1 4 2 3 4 2 4 0 3 0 2 taken in that order Find all isometries of P What group do they form 6 Let Q be the polygon with vertices 1 0 2 0 4 2 4 3 3 4 2 4 0 2 0 1 taken in that order Find all isometries of Q What group do they form 7 Which of the groups introduced above in Problems 3 6 are pairwise iso morphic and which are not

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