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In this video we're going to look at similar triangles to shapes are said to be mathematically similar if their shape is the same but best size is different this is different to congruent or congruent shapes congruent shapes are exactly the same in terms of their shape and size I'm going to start off now with a square so if we have a small square and a large square we can say that their side lengths are in the same ratio these are proportional so if we put on here but this was going to be 2 and this was going to be 4 we've got 2 and we've got four this now is simply a scale factor enlargement of 2 so we have the same angles and we have proportional sides if I wanted a congruent square or congruent we would have to have now the same shape and the same size so if I put the 2 on here and 2 on here and we'll label these up we'll say that this one is going to be a this one is going to be B and this one is going to be C so a and C a congruent we can save it a and B are similar and C and B are similar let's go ahead and draw now some triangles let's draw a right-angled triangle so if I have a right angle triangle I'll put that one on and then I will have one more and I'll make this one slightly bigger so all this is is a scale factor enlargement so let's say now and I'll put this one on this isn't massively accurate but if we have our known 3 4 5 triangle this one could be now the 10 6 8 or 10 8 6 we can see again this is a scale factor enlargement or two these are similar triangles we can say this angle is going to correspond with this one we can say now that this one right here will correspond with this one and of course we have the right angle so the angles are the same which set the shape of this particular triangle but the dimensions as it's a scale factor enlargement if we wanted a congruent triangle we would have to have the three four five with this one or four six eight to ten with this one so let's go ahead and look at answering some questions we are asked to find the two pairs of similar triangles and say which is the odd triangle so what we've got here to begin with the first five we've got now two known angles and we need to state which ones are similar we know that the sum of the angles in a triangle give us 180 so this one is going to be now 80 this one that's 130 so that's going to give me 50 that one is going to give me 120 so that would be 60 that gives me now 110 so that would be 70 and this one right here would give me 110 so that would be 70 if we just consider now if these triangles have the same angles they will just be scale factor enlargements of one another so if we look at this one right here we can see that that's 30 70 and 80 that one will go with that one despite it being flipped over it's still a similar shape it even looks like it's congruent but we can't we can't tell so we don't have any dimensions it might be a millimeter shorter this one is going to go with this one and then this one is going to be the odd one out...
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