16 letters have line symmetry: A, B, C, D, E, H, I, K, M, O, T, U, V, W, X, Y
6 letters have rotational symmetry: H, I, N, O, S, X, Z
4 letters have both: H, I, O, X
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A parallelogram has a rotational symmetry of 2!
There are infinitely many such shapes:Take any odd-sided regular polygonMove one vertex away from the side opposite it in a perpendicular direction any distance you like.The resulting shape has one line of symmetry (from the vertex moved to the centre of the opposite side) and no rotational symmetry.Done to an equilateral triangle (a regular "3-agon") this creates an isosceles triangle.
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A regular hexagon has a rotation symmetry of 60 degrees, meaning it can be rotated by multiples of 60 degrees and still look the same. This is because a regular hexagon has six equal sides and angles, allowing it to be rotated in increments of 60 degrees to align perfectly. In other words, there are six positions in which a regular hexagon can be rotated to before it repeats its original orientation.
A crescent moon has 1 line of symmetry