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2 answers:
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Answer:
If the octagon is clockwise, then after 5 times 45 increments A' will coincide with F.
If the octagon is counterclockwise, then after 3 times 45 increments A' will coincide with F.
Step-by-step explanation:
Case 1: Let the octagon is clockwise
It is given that a regular octagon ABCDEFGH rotates 360 degree clockwise about it's center.
There are 8 vertices and the central angle between two consecutive vertices is 45 degrees.
Central angle between AB is 45 degree.
Central angle between AC is
Central angle between AD is
Similarly,
Central angle between AE is
Central angle between FA is
Therefore after 5 times 45 increments A' will coincide with F.
Case 2: Let the octagon is counterclockwise
Therefore after 3 times 45 increments A' will coincide with F.
