No, it does not.
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No.
It has rotational symmetry of order 2.
The triskelion (the three legs) on the Isle of Man flag.
Yes, for example the triskelion (the three legs) on the Isle of Man flag.
Scalene triangle * * * * * A scalene triangle does not have rotational symmetry of order 3. The triskelion (the three legs) on the Isle of Man flag, or a simplified version of that shape will meet the requirements.