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hi everybody today we are going to talk about parallel lines and proportional parts so the first thing I want to talk about is what's called the triangle proportionality theorem so if you have a triangle and then you have a segment within the triangle that is parallel remember these little arrows mean parallel to one of the sides of your triangles you can use this triangle proportionality theorem so here we know that AE is parallel to BC so we can actually set up different ratios or proportions within the sides of this triangle so one that we could set up is we could say a B over BC so you can see that we took the bottom portion of the left over the top portion of the left and we could create the proportion that is equal to e d over DC now of course you could also take both of those and flip we could also say BC over ba equals DC over de as long as you're doing top / bottom top / bottom and being consistent you can always set up that proportion now another proportion we

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