In this video, we're going to bisect some angles. And we'll do that with lines. There are different line tools at the bottom of the screen. So far we've explored the segment tool that makes a line segment that has start and end points. There's also the line tool. And this draws a line that doesn't have a start or end points.

In fact, if you zoom out, you'll never get to the end of the line, it goes off infinitely. The Ray tool is sort of a hybrid of the segment and the line in that it starts at a point, but it goes off in one direction infinitely. I'll just undo and just draw in one line segment here. And I want that to be relatively horizontal. So I'm going to line that up top of the screen, and that's good. I'll draw another line here.

That crosses the other line at some arbitrary angle and a label this point A to bisect the angle A, we could do it on either side. Let's say we try to bisect in the upper right. So what I'm going to do is start by drawing a circle from a out here at some arbitrary size, and then I'll label these two points here and here. Note that the label tool automatically adds the intersection points for you. There's no need to do that as a separate step. Now I'm going to draw another circle from B, again, at some arbitrary size.

Now draw the same size circle at point C. This is something that's very easy to do with a compass, because you just don't adjust the compass width and you draw another circle. In the app, we have to go to an additional step to make this happen. We have to first put in a label here at this point and then we will Use this specialized tool right here. What this tool does is it copies a length of a segment into another location. So I'm going to drag from point B to D, lift the pencil or lift your finger and then drag from point C. And as I'm dragging from point C, I can place that parallel to the other segment, or anywhere along this circle. For convenience, I think I'll drop it right here.

Then I'll draw another circle from C over. So circles B and C have the same radius. I'll label this point right here and draw a line connecting A and E. That line bisects the others. To make this more clear, let's decorate. I'm going to change the line type to a small dash. And I'd like to dash out the circles and then to make the lines more prominent, I'll choose a color, turn off the dashed line type, and then tap on the lines.

Now just to verify that we have indeed bisected the lines, let's go here, choose the angle. And I'm going to drag from B to A, and then again from A to Z, and that establishes ankle Ba, E. And then I'll do again from E to a, and then A to C. There's your proof. These two angles are in fact equal. So now let's do this in a more efficient way that's optimized for the app. So I'll just navigate over here, drawing a new line down here somewhere. And drawing another line at some arbitrary angle, this time a little steeper.

I'll label that as point F in this case. Then I'll use this specialized tool right here, which is four bisecting angles. And I'm going to drag from some arbitrary point on this line. down to f, lift the pencil and then drag from F over to some arbitrary point along this line. That will essentially put in the bisector. Just so that we can verify this, I'm going to add some points to the lines here.

And then I'll come in here and measure from G to F, and then F to H, that establishes angle g, f, h, and then again, H to F, and F to AI. And you can see, this indeed has bisected the lines as well. So you have two different methods one traditional one digital for bisecting angles.