Draw 16 diagonals inside some cells of a \(5\times5\) square in such a way that no two of these diagonals share any points.
Jennifer draws a hexagon, and a line passing through two of its vertices. It turns out one of the figures in which the original hexagon is divided is a heptagon. Show an example of a hexagon and a line for which it is true.
Can Jennifer draw an octagon and a line passing through two of its vertices in such a way that this line cuts a 10-gon from it?