In this video, I'll draw a Pentagon and its related pentagram. And I'll use the most common method that you're likely to find in a Western textbook of geometry. This method is not my favorite because it relies on length by section and angle by section. And I think there are more elegant ways to do this, which I'll show you in other videos. But this technique is common and it's worth learning anyway. I'm going to draw a perpendicular line to this horizontal through B.

And I'll label the point up here, D and the one below E. And then I will bisect the segment A, B to create a new point here, F and then I will bisect the angle d, f, b. And that creates a new point up here G and then create a parallel line to the horizontal Through G. And this gives us two points that are actually on the Pentagon, h AI. Now I'll draw a red line connecting dnh and DNI. So those are two edges of our Pentagon. And now I just need to carry it through. So I'll use this tool and set the compass distance to d h, and then put the point of the compass on H, and place that there and then do that again.

And again, and if you do it right, this will come in precisely connect at point i. Now I can change the colors of these lines, and we have our Pentagon. We can add a pentagram very easily, simply by connecting these dots in this pattern.