An irregular hexagon H has vertices (1,0),(0,1),(-2,2),(-1,0),(0,-1)&(2,-2). (a) sketch the hexagon in the plane? (b)(i) using standard notation, write down...
An irregular hexagon H has vertices (1,0),(0,1),(-2,2),(-1,0),(0,-1)&(2,-2). (a) sketch the hexagon in the plane?
(b)(i) using standard notation, write down the elements of the symmetry group S(H) of H ,giving a brief desription of the geometric effect of each symmetry on points in the plane.
(ii) Compile a cayley table for S(H).
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