Does this figure have symmetry?

A figure with 3 curls coming out from a center point.

Yes, because if you rotate it 120 degrees, the figure is carried onto itself.

Yes, because if you fold it in half, both halves match up.

No, because if you fold it in half, both halves do not match up.

No, because if you rotate it 45 degrees, it does not carry onto itself.

Yes, because if you rotate it 120 degrees, the figure is carried onto itself.