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OHIO possibly?
The only state that has this type of symmetry when written horizontally is OHIO. If the letters are written vertically, then HAWAII, IOWA and UTAH also have symmetry.
Depending on the font, they are N, S and Z.
by divide in two halves equal
The capital letter H does B, C, D, E, H, I, K, O, and X have a horizontal symmetry line.