What is the smallest angle of rotational symmetry that maps a regular octagon onto itself?
The smallest angle of rotational symmetry that maps a regular octagon onto itself would be 45°.
360/8 = 45
The smallest angle of rotational symmetry will be "45°".
Regular octagon:
then,
→ The smallest angle will be:
= \(\frac{360}{8}\)
= \(45^{\circ}\)
We can say that the octagon returns its originating octagon just about every 45 degrees rotational so that an octagon does indeed have a rotary symmetry ordering of eight.
Thus the above answer is correct.
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