The number of times the image of the octagon will coincide with the preimage during rotation is determined by: N = R/C
where N is the number of times the preimage coincided with the rotated image during rotation R is the angle of rotation C is the central angle of the regular polygon
For an octagon, the central angle is C = 360/8 = 45
So, N = 360 / 45 = 8
Therefore, the rotated image of the octagon will coincide with the preimage 8 times during rotation.
