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## Scale copies

Current time:0:00Total duration:2:55

# Corresponding points and sides of scaled shapes

CCSS Math: 7.G.A.1

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## Video transcript

- [Instructor] We are told figure two is a scaled copy of figure one. So this is figure two here. This is figure one. Looks like figure two not
only has it been scaled down, it's a smaller version, but it also looks like it
has been rotated 180 degrees or you can say it's been
flipped upside down. We're asked to identify
the side in figure two that corresponds to side EA in figure one. So this is EA in figure one. Pause this video and
see if you can identify the side of figure two that corresponds to side EA in figure one. Alright, now let's work
through this together. Some of you might immediately intuit or be able to spot which
side corresponds to EA but I'll do it slightly more
methodically in this video just so that we can see maybe all of the corresponding sides and points. So one way to think about it is well, it looks like the
longest side in figure one is side BC. So this is the longest side in figure one and then the longest
side in figure two is HL so it looks like BC corresponds to HL and then touching on that longest side, that longest side has two right angles. It forms two right angles
with the sides next to it. So you have these two right
angles right over here and then of those two right angles, you have the shorter side
connected to the longest side and so that is BA over here and so that would correspond
to LK right over here. That is the shorter side
connected to the long side that forms a right angle and then if we just keep
following that side of the shape, we then go to side AE which
would correspond now to and this is answering
our question to side KJ. So the side in figure two
that corresponds to EA in figure one, that is going to be KJ or we could say side JK and if someone wanted to say what points correspond to which point, well, you can see that
BA corresponds to LK and BC corresponds to LH so we would know for example that this point B right over here, point B would correspond to point L
in figure two right over here and we could use a similar
logic for the other points. So we've answered the
questions, the question, but the real thing is to see well, which sides or points have similar features on a relative basis? So I said what is the longest side? What is the longest side? Where do we see right angles? And sometimes your brain
might just immediately be able to spot out the shape. If you were to rotate this
one all the way around, it would jump out at
you a little bit faster that JK and AE are corresponding sides.