Bakayev E.V.

Each side of a certain polygon has the property that on the line containing this side, there lies at least one more vertex of the polygon. Can the number of vertices of this polygon

a) not exceed nine

b) not exceed eight

#
See the figures:
![](https://cdn.mathpix.com/cropped/2024_05_06_da161803a921372be170g-33.jpg?height=404&width=1154&top_left_y=844&top_left_x=452)

Answer

It can.