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The rotational symmetry of a plane object is the number of times it will look exactly like its original shape when you rotate it through 360 degrees in its plane. A whole alphabet has no rotational symmetry but some letters in an alphabet may have rotational symmetry. The number of symmetries depends on the alphabet, whether the letters are in upper or lower case as well as the font used.
H, I, O, X. In some fonts the symmetry may not apply.
A regular hexagon is 6 sided, with 6 interior angle of 120 degrees each, totalling 720 degrees.
Okay, for one, it's spelled symmetry. In some cases, a Hexagon may have none, but assuming you mean a regular Hexagon, it would have six lines of symmetry. Hope I help. Sorry for criticizing your spelling, kind of a pet peeve >.< (P.S. You better not use this for homework!)
A general pentagon may have no symmetries at all. A regular pentagon has five symmetry axes - each one connecting a vertex with the middle of the edge opposite this vertex. A regular pentagon also has rotational symmetry - if you rotate it by any multiple of 72 degrees clockwise or anti-clockwise you get a regular pentagon as well. Please also see the related link below.