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**livingdream** a hexagon with vertices (1,0) (0,1) (-1,1)(-1,0) (0,-1) and (1,-1) how many rotational and reflection symmetry will it have , **I need to sketch it** and then using standard notion write down the elements of the symmetry group S(H) of H giving a brief description of the geometric effect of the each symmetry on point in the plane.!!!!

i know that its regular hexagon with all sides equal

and hence the symmetry would be {e,rpi/3, r 2pi/3 rpi, r 4pi/3, r5pi/3} but the description of geometric effect of the each of the point in the plane Is what I don't understand

can someone please check my understanding is clear

does this shape have reflection symmetry or not?