Question

How many lines of symmetry does a regular polygon with 22 sides have?

Answer 1

Regular polygon with 22 sides has 22 lines of symmetry.

Explanation:

Given : regular polygon with 22 sides .

To find : How many lines of symmetry does a regular polygon with 22 sides have.

Solution : We have given that a regular polygon with 22 sides .

For any regular polygon number of sides is equal to number of line of symmetry.

We know: If the number of sides is a even number, then there are lines of symmetry which can be create from each vertex to the opposite vertex and another line which can be create from mid-points of opposite sides.

Therefore , regular polygon with 22 sides has 22 lines of symmetry.

Answer 2

Answer: 22

Explanation:

For any regular polygon there is a result which says that the number of lines of symmetry of a regular polygon is equal to its number of sides because:-

Case 1: If the number of sides is a odd number, then there are lines of symmetry which can be create from each vertex to the midpoint of the opposite side.

Case 2: If the number of sides is a even number, then there are lines of symmetry which can be create from each vertex to the opposite vertex and another line which can be create from mid-points of opposite sides.

Therefore, if a regular polygon has 22 sides

Then the number of line of symmetry = 22