The maximum number of lines of symmetry possible in a polygon is equal to ___.

its number of sides

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its number of adjacent sides

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its number of opposite sides

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one less than its number of sides

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Solution

The correct option is A
its number of sides

For a regular polygon, the number of lines of symmetry equals the number of sides it has, whereas for an irregular polygon, the number of lines of symmetry is less than the number of sides.

A regular pentagon has 5 lines of symmetry, whereas an irregular pentagon has number of lines of symmetry less than the number of its sides.
Thus, the maximum number of lines of symmetry possible in a polygon is equal to its number of sides.

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Similar questions

In any polygon, the maximum possible lines of symmetry occur when all the sides and angles of the polygon are equal.

In any polygon, the maximum possible lines of symmetry occur when all the sides and angles of the polygon are equal. State true or false.

In a regular polygon, the number of lines of symmetry is equal to the number of sides.

Consider the following statements.

Statement 1: Regular polygons have finite lines of symmetry.

Statement 2: The number of lines of symmetry in a regular polygon is equal to the number of sides.

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