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A regular polygon has a sides. Which algebraic expression represents the number of degrees of rotation about the polygon’s center that would carry the polygon onto itself?

A. 180°/a

B. 360°/a

C. 360°/2a

D. 180° (a)
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Answer:

B

Step-by-step explanation:

An algebraic expression represents the number of degrees of rotation about the polygon’s center that would carry the polygon onto itself is 360 / a.

What is a polygon?

A polygon is a closed figure made up of three or more line segments connected end to end.

A polygon in the plane has rotational symmetry when the figure is mapped onto itself by rotating between 0 and 360° about its center.

So, we need to find the number of symmetrical lines a regular polygon.

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

Then, let a be the number of symmetrical line lines

An algebraic expression represents the number of degrees of rotation about the polygon’s center that would carry the polygon onto itself is 360 / a.

Learn more about polygon;

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