If the number of lines of symmetry in a polygon is equal to the number of sides it has, then it must be a regular polygon.

True.

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False.

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Solution

The correct option is A True.
A polygon is said to be a regular polygon if all its sides and angles are equal to each other. In a regular polygon, there are as many lines of symmetries as there are sides/angles. That’s the maximum number of lines of symmetry that a polygon can have. This only happens with a regular polygon. So, if the number of lines of symmetry in a polygon is equal to the number of sides it has, then it must be a regular polygon.

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Similar questions

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.

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

Question 84
State whether the statement is True or False.
The number of lines of symmetry of a regular polygon is equal to the vertices of the polygon.

If any line of symmetry in a regular polygon connects midpoint of two of its sides, then which of the following may be the number of sides of that polygon?

If a polygon has 4 lines of symmetry, it has to be a square. Say true or false.

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