How to Draw an Angle in Standard Position
Draw Anglesin Standard Position
In geometry, a triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted .
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Video Transcript
triangles in standard position or drawing angles in standard position. Now, standard position means this is the angles position so that the Vertex is at our origin and the initial sod is on positive X. So let's explain to you what that means. So we know what the origin. And we even really know what the vertex of an angle is now. The initial side is the one side that's going to say straight. So, for example, let's add Drew this angle right here. This side right here that's on the positive X axes. This is my initial sod. This is where the angles actually going to be starting from. It's going to start from that positive X axis. And then what's gonna happen is my angle is going to rotate to wherever it's finishing position. ISS Now an angle is gonna start at zero degrees, which is where the X is positive. A 90 degree angle is going to be on the Y axis are are inside. That's moving is going to be on the y axis. Positive sod. Here we have 180 degrees. And then here we have 270 degrees and then Of course, if it makes it all the way around, is back to 3 60 it keeps going from that. And actually, you can have an angle that continues on from there. So let's draw some triangles in this standard position. So let's start off by drawing a 240 degree triangle. Well, what's the review? We know that here on the positive X axis, we have zero on the positive. Why we have a 90 degrees positive on the negative. X. We have 180 on the negative, why we have 270 well, 240 ISS somewhere between 182 70 so we need to decide where it's actually going to be between. So to do that, I'm going to go 240 minus the 180 because we know it's going to go past 1 80 and that means it's going to go 60 degrees past 180. So let's draw that. We'll start with our Vertex is at the origin, and our initial side is going to be right here. So let's draw and we're gonna straw this line that's gonna show our direction. So we're going to start it in zero and go to 90 is going to keep going two hits 1 80 then it's gonna go about 60 more degrees should be. Maybe approximately right there. We're gonna kind of estimate it, and then we're going to draw our other side of our angle. And I do wanna kind of show it tried era right there. Show Which way? It went for the difference between the 1 80 and our side that moved. It's 60 degrees. So this would be about a 200 and 40 degree ankle. Let's draw another one. Let's draw a 380 degree angle again. We know we have zero 90 180 to 70 and when it makes it all the way back around, it's at 3 60. Well, this one is actually going a little bit all the way back around and a little bit more so that means that I can find out how much more by subtracting 3 80 minus 3 60 that would be 20 degrees. So when I draw my initial side, here's my Vertex. We're gonna draw our side going, so we know it's going to go all the way around. So there's 3 60 I'm kind of like it. Make it like a swirly thing, and it's gonna go just a little bit more about 20 degrees more. And so once I draw that, I can go ahead and draw my other side. Oh, my ankle And I can see from 3 60 here. That's about another 20 degrees kind of give or take. This one, actually, maybe a little bit more, But we're gonna give or take it, and so this is total angle is 380 degrees.
Source: https://www.numerade.com/courses/algebra-2/introduction-to-trigonometry/draw-anglesin-standard-position-1/
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