I could be wrong but I believe the following have point symmetry: I H O X That means if you cut them in half vertically or horizontally the pieces would be the same, mirror images if you will. There are many more letters that are symmetrical down a vertical line such as M and W etc.
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A, h, i, m, o, t,u,v,w,x,y
Anything you like. In English speaking environments, capital letters of the Roman alphabet are used, but that is not the custom in non-English speaking countries.
The list provided with the question doesn't include any letters that meet the requirements.
there is one for every letter in the alphabet, and question mark and exclamation point
It is a line through the point of symmetry. In general it is not an axis of symmetry.