Is no. of symmetry = no. of rotations

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Your question is not clear and seems to be incomplete. Kindly recheck your question and please be a little specific so that we can provide you with some meaningful help. 
Line of symmetry is the line which divides a figure into two identical halves.  If we hold a figure such that both the halves fit exactly on one another, then the figure is called symmetrical and the fold is known as the line of symmetry.
Basically, symmetry is of three types:
1) REFLECTION SYMMETRY: This is the most basic type of symmetry which shows that wen an image is divided by a dotted line, such that the line divides the image into two identical halves, it is known as reflection symmetry.
2) ROTATIONAL SYMMETRY: When we rotate an image along a centre point at 360 degree, then the number of times, the image looks the same, shows the rotational symmetry of the image. 
In this, the image could rotate both ways, clockwise and anti clock-wise. 
3) POINT SYMMETRY

Hope your query is solved from the above explanation!
Regards 

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