In this video, I'll show you how you can construct a pentagon by noises, also known as the mark ruler technique or verging. Let's start by drawing a circle on the line, and another one of the same radius to form the vesica piske is form. I'll label these two central points as a and b. And I'll also draw a line through the center, forming a right angle with the horizontal. I'd like to draw in some arbitrary line from a up to this vertical line somewhere. I'll label that new point C. Now if you're doing this by hand, you're not going to actually draw that line in.

Instead, what you do is you hold your ruler on point A, and you pivot that ruler around a and we can simulate that here with the Hand tool in the app. So by moving point C, up and down on the line, you can see this is sort of like pivoting the ruler around point A. to figure out where this is going to go, we need to transfer the radius of the circle to the line. So we're going to do that by using this tool by dragging from A to B. And then I'll drag from C over to this point on the line. And I'll label that as point D. If you're doing this by hand, what you do is you hold the compass up to the ruler with the same radius set, and you just pivot the ruler and you take a look at where point D is.

That's the opening of the compass and when that crosses the circle, right there You're in the right position. I'm going to zoom in there and take a closer look. See if I can get it as accurate as possible. So I'm going to move point C up and down until that point just crosses the line. Add a point of intersection here. And then when I move point See, it's a little bit easier to see when these two dots coincide.

So that's the point that's needed to construct the Pentagon. So now we just need to draw a circle from C to D. and then label these points of intersection. And finally, just connect the points and you have a pentagon