The Wonderful world of Triangulation!

Call me closeted, but I've never seen this, much less heard of this before our lesson on it. Basically, we take a polygon and choose one vertex. From that vertex we draw diagonal lines to the next vertex, creating triangle within the polygon. Do this for every vertex to see how many triangles a polygon is composed of. Check out my class notes to see what I mean, I hope it blows your mind like it blew mine!

The top part of my notes demonstrates drawing diagonal lines from one vertex to the others to create the triangles. As you can see, there is a pattern. Can you see it? Check out the far right column where we find out the sums of the interior angles. See it now? As you scan down, you can see that with each angle that is added to the polygon, a measurement of 180 degrees is added to the one preceding. Neat, right? Math is so much fun when things like this click! Until next time cutie  πs!