Point of rotation
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Center of rotation
The least angle at which the figure may be rotated to coincide with itself is the angle of symmetry.
A point or a line segment can be a preimage of itself because a line can be reflected or rotated.
If it's an *equilateral* triangle, a triangle. Check out quadrilaterals (squares, rectangles), then *equilateral* pentagons, hexagons, etc. Generally, an equilateral polygon needs only rotate (360/number of sides) degrees to coincide.
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