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A shape does NOT need to have line symmetry in order to have rotational symmetry.

For example, the letters N, Z and S can be rotated 180° to show symmetry, but none of these show line symmetry.
When the folded part Line of Symmetry. Here I have folded a rectangle one way, and it didn't work.

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Q: Which shape has rotational symmetry but not line symmetry?
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