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charle [14.2K]
3 years ago
13

A regular octagon rotates 360° about its center. How many times does the image of the octagon coincide with the preimage during

the rotation?
Mathematics
1 answer:
diamong [38]3 years ago
8 0
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.
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