For capitol letters:
Vertical - A, H, I, M, O, T, U, V, W, X, Y,
Horizontal - B, C, D, E, H, I, K, O, X
Both - H, I, X, O
For lower-case letters:
Vertical - i, l, m, o, t, u, v, w, x
Horizontal - c, l, o
Both - l, o
These are of course font or handwriting dependant, but I think that covers the possibilities
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the letters are : E
H,I,X,O have symmetry both vertically and horizontally.
The letters with vertical line symmetry are: W, T, Y, U, I, O, A, H, X, V, M. The letters with horizontal line symmetry are: E, I, O, D, H, X, C, B.
A, h, i,
A, B, C, D, E, H, I, M, N, O, T, U, V, W, X, Y all have symmetry either vertical or horizontal