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Good day students welcome to mathgotserved.com in this introductory geometry tutorial we going to be going over how to name on goals size and vertices also talk about how to classify points as being either in the interior of an angle on the angle or being on the exterior let's take a look at question number one instructions are for us to name the vertex the sides of the angle and where to name the handle itself and the angle in four ways okay and the angle in four different ways okay so let's take a look at this angle here for question number one let's say we have an angle to look something like this in this point here is B on goals one and have a point on this rate see you have another point on this three a okay let's start by naming the vertex now the vertex take some different meanings in the context of the diagram that's we have here the vertex is basically the common points where these to raise begin okay so that's what's the vertex means so the common points where DC raise three BC NDE meet is apt points be okay so all the vertex is going to be be now let's move on to the next parts of our question one which is the sides of the angle okay what are the sides of the angle these two raise with a common point or vertex be are the sides of the angle so the sides are going to be we start from both vertex and going to direction of the two raise so the first sign is BC of the repointing out word is basically means that be is where the point originates from order rate and any goes in the direction of C and then the next side of the angle is be a full in the same pattern indicating that the restarts from b and goes in the direction of a now the last part requires us to name the angle and four different ways okay so let's go ahead and name the now can name the angle using the's three points CBN a the the interior points or the vertex is going to be at the middle okay so were going to name it angle CBA not the first way you can name this angle you can also name it angle starting from a a BC when you name in the angle's with these points you have to ensure that the vertex points is at the middle as you can see here another way you can name this angle is by simply using the vertex I'll for that can call this angle be and then the last week in the name this angle is by using the numerical value that's assigned to the angle and that is angle why so those are the four different ways that you can name this angle why is this important whenever you do we geometry problems there is in a particular way that the angle will be presented he can be presented using the numerical representation we could just the given a vertex off the bat or you can be given the description of the angle using these three points so it's important that you know the different ways in which to mean an angle so he can basically solve a problem regardless of whichever format it is presented in now let's go see there another example in this case will going to look at angle GE our case so were so for the same instructions as we did in the previous problem opening the vertex the sides and will name the angle in four different ways okay so it's either so the angle right here and have a point G and another points oh let's starts with the vertex now what is the vertex in this diagram the vertex is basically the common points where the two raise originates over the me's okay so the vertex here is going to be point okay now one of the sides of the angle the sides of the angle of these two raise which have a common point of origination vertex .8 so what we're label in the sides remember where going to start from the origin or the vertex and going to direction of the two points okay so the first side is G the repointing in that direction indicating that's your starting from key and going in the direction of G and ales a have Io starting from a and heading in the direction of both so the is an are two sides of the angle now let's go ahead and name the angle in four ways so what are the four different ways we can name this angle base on how it is presented here we can name this angle with his numerical value that's been assigned to these angle so angle for this one way of naming it. We can also name the angle using the vertex okay so what's the vertex the vertex here is E so can name the angle angle E we can also name the angle using these three points GEN all but in whichever direction we choose D has to be the also that in the center since it is the vertex okay so you can rights of either the four different ways that you can name this angle presented here okay now let's take a look at question number three we have a different set of instructions here for question three we are to name all the on goals that okay so let's consider this in error right here

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