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How many lines of symmetry does a regular polygon with x sides have?

Question

How many lines of symmetry does a regular polygon with x sides have?

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Solution 1

A regular polygon with x sides has x lines of symmetry. This is because a line of symmetry in a regular polygon runs from the midpoint of one side to the opposite vertex, and since there are x sides, there are x such lines.

Solution 2

A regular polygon with x sides has x lines of symmetry. This is because a line of symmetry in a regular polygon runs from the midpoint of one side to the opposite vertex, and since all sides and angles are equal in a regular polygon, each side will have its own line of symmetry. Therefore, a regular polygon with x sides will have x lines of symmetry.

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