After rotating by 60° about a centre, a figure looks exactly the same as its original position. At what other angles will this happen for the figure?
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After rotating by 60° about a centre, a figure looks exactly the same as its original position. At what other angles will this happen for the figure?
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Answer:
Similarly we get the next angle of rotational symmetry as 240∘. The next angle would be 300∘and the final angle of rotational symmetry would be 360∘. So we get 6 angles at which the figure would look exactly the same as its original position. These angles are as follows: - 60∘,120∘,180∘,240∘,300∘,360∘.