Some of the letters don't have a line of symmety because some are not equally the same size.
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It is the same as in shapes, the ability to be divided into two equal halves either vertically or horizontally. Not all letters have a line of symmetry, and some have two (H, X, O).
H, I, O, X. In some fonts the symmetry may not apply.
Some triangles do have a line of symmetry. Equilateral and Isosceles triangles have a line of symmetry. If you can fold a triangle into two equal halves, the folding line is a line symmetry.
Yes - some trapezoids can have one line of symmetry.
The axis of symmetry. Which is a line that you can reflect two functions of off the axis of symmetry.