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No, not all shapes have the same rotational symmetry as their order. The order of rotational symmetry refers to the number of times a shape can be rotated around a central point and still look the same within one full rotation (360 degrees). While some shapes like regular polygons have rotational symmetry that corresponds directly to their number of sides, irregular shapes may have a different order of symmetry, or none at all.
No, the letter Y does not have rotational symmetry. It cannot be rotated and still appear the same.
Rotational symmetry refers to symmetry of the figure when it is rotated about a single point in the same plane. Lines of symmetry apply to reflections. You do not have lines of rotational symmetry.
It is called its order of rotational symmetry depending on its shape as for example a square has rotational symmetry to the order of 4 because it returns to its same shape every time of a turn of 90 degrees and so 360/90 = 4
As the name suggests, they are polygons that have one or more lines of symmetry or rotational symmetry of order two or more. A symmetric polygon is not the same as a regular polygon.