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Isosceles triangle, kite.

-improvement: an isosceles triangle actually has three lines of symmetry, equal to the number of sides.

It is easy to design irregular polygons with an odd number of sides that have just one line of symmetry.

A parabola.

Many more functions that are more complex - cardioid, for example.

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Q: What shape has one line of symmetry and no rotational symmetry?
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