A regular pentagon has rotational symmetry of order $5$.

A regular hexagon $8$ lines of symmetry.

A regular octagon has rotational symmetry of order $6$.

Sketch a regular polygon with $5$ lines of symmetry and rotational symmetry of order $5$ and verify?

Sketch a different shape with $5$ lines of symmetry and rotational symmetry of order $5$?

All hexagons have $6$ lines of symmetry.

A regular nonagon has $8$ lines of symmetry.

A regular decagon has rotational symmetry of order $12$.

Decide if the following statements could be true or cannot be true. Give reasons for your answer.

The polygon has no lines of symmetry.