It doesn't have any volume (3D) and it's not a line (1D). Thus, it is a 2D shape.
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A 2d shape with uncountable lines of symmetry is a circle.
A semi-circle.
The 2D equivalent of a sphere is a circle so it follows that the 2D equivalent of a hemisphere is a semicircle.
on because it has no flat sides and so it can't be a 2d shape
A circle, since it has an infinite number of lines of symmetry