Netto's theorem

Netto's theorem is about figuring out how many times a certain point is repeated in a polygon. Imagine a square or a triangle, those are types of polygons. A point is like a little dot, you can put your finger on it.

So let's say we have a square and we pick a point in the middle, we will call this point "P". Netto's theorem tells us that we can count how many times this point "P" is repeated in the square by looking at the diagonals.

A diagonal is a line that goes from one corner of the square to the other, like a line going from the top left corner to the bottom right corner. We can count how many times the point "P" is repeated by adding up all the intersections on each diagonal.

For example, if we draw two diagonals in the square, one going from the top left corner to the bottom right corner and another going from the top right corner to the bottom left corner, we will see that they intersect at the point "P", which means that "P" is repeated twice.

Netto's theorem works for any polygon. It tells us that if we pick any point in a polygon, we can count how many times it is repeated by drawing diagonals and counting the intersections.

So, if you ever need to know how many times a point is repeated in a polygon, you can use Netto's theorem to figure it out.