In a regular polygon with n sides, what is the smallest angle of rotation about the center for which the polygon will be mapped onto itself?

Question

In a regular polygon with n sides, what is the smallest angle of rotation about the center for which the polygon will be mapped onto itself? A. n B. n/360 C. 360/n D. 180/n

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Samantha 1 week 2021-09-13T04:39:03+00:00 1 Answer 0

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    2021-09-13T04:40:06+00:00

    Answer:

    Step-by-step explanation:

    A polygon in the plane has rotational symmetry if the figure can be mapped onto itself by rotating between 0 and 360° about it’s center.

    So, we need to find the number of symmetrical line a regular polygon can have.

    Note : A regular polygon with n sides has n lines of symmetry and order of symmetry n.

    Then, let n be number of symmetrical line lines

    Then,

    Smallest angle of rotation about the center for which the polygon will be mapped unto itself is

    360 / n

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45:7+7-4:2-5:5*4+35:2 =? ( )