So I have, get this right, so I have this distance right over here. So one point is on C, and my pencil is on B. And what I can do is take my compass again and get a clear sense of the distance between C and B, by adjusting my compass. Point right over here D, and I'll call this one E, and I wanna figure out where to put my third point F, so I can define ray E F, so that these two angles are congruent. But this alone won't allow us to draw the angle just yet, but let me draw it like this, and that is pretty good. And so let me, now that I have my compass with the exact right radius right now, let me draw that right over here.
And I could call this point A, right over here. And what's useful about the compass is you can keep the radius constant, and you can see it intersects our first two rays at points, let's just call this B and C. Is put the pivot point of a compass, of the compass, right at the vertex of the first angle, and I'm going to draw But then we have to figure out where do we put, where do we put the other ray so that the two angles are congruent? And this is where our compass is going to be really useful. So it's going to look something like that, And I'm gonna put this angle in a different orientation, just to show that they don't even have to have the same orientation. Vertex of my second angle right over there, and then let me draw one of the rays that originates at that vertex. So let's just start with this angle right over here, and I'm going to construct an angle that is congruent to it. You pivot on one point here and then you use your pen or your pencil to trace out the arc, or the circle. Which looks a little bit fancy, but what it allows us to do it'll apply using it in a little bit, is it allows us to draw perfect circles, or arcs, of a given radius.
And then I'm gonna use a tool known as a compass. I'm gonna use a ruler as a straight edge. Gonna do in this video is learn to construct congruent angles, and we're gonna do it, with of course, a pen or a pencil here.
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