A regular octagon is rotated about a centrally located point (as shown). How many rotations are needed to repeat the given octagon, vertex for vertex, if the angle of rotation is 

a)

b)

c)

d)


a)
To find:
The rotations needed to repeat the octagon vertexfor vertex.
Given:
The angle of rotation is
The given figure is,
Figure
Property:
The octagon repeats vertexfor vertex if it is rotated for angle of
b)
To find:
The rotations needed to repeat the octagon vertexfor vertex.
c)
To find:
The rotations needed to repeat the octagon vertexfor vertex.
d)
To find:
The rotations needed to repeat the octagon vertexfor vertex.
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