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### Course: 7th grade (Eureka Math/EngageNY) > Unit 4

Lesson 3: Topic C: Scale drawings- Exploring scale copies
- Explore scale copies
- Corresponding points and sides of scaled shapes
- Corresponding sides and points
- Identifying scale copies
- Identify scale copies
- Identifying scale factors
- Scale copies
- Identifying values in scale copies
- Scale drawings
- Solving a scale drawing word problem
- Interpreting a scale drawing
- Scale drawing word problems
- Making a scale drawing
- Construct scale drawings
- Scale factors and area
- Relate scale drawings to area

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# Corresponding points and sides of scaled shapes

Sal identifies corresponding sides and corresponding points in scale copies of figures.

## Want to join the conversation?

- Never give up and believe in yourself, especially in math! <33(13 votes)
- This is my affirmation of the day.(2 votes)

- for all the 5th graders on here, this is high school geometry not middle school(8 votes)
- Not me speeding up the video so I can still show my mom I watched it...🤭(9 votes)
- bro my teacher knows when people are speeding up the khan academy videos he's just better(5 votes)

- never back down never what(8 votes)
- what is in a line?(6 votes)
- a straight stick(2 votes)

- Is this Elementary school math im really confuse?(5 votes)
- 7th grade is not elementary so do the math(4 votes)

- i will for mat it to help 🤓(5 votes)
- Can someone run me through the pythagorean theorem and how we use it in these diagrams? I did the practice just fine without it.(3 votes)
- The Pythagorean Theorem is the equation a^2 + b^2 = c^2. With a right triangle, you look for the hypotenuse, which is the side that does not make up the right angle. You look for the measures of the sides that make up the right angle and put them in the a^2 + b^2. Continue solving until the solution is found.(5 votes)

- Im in 3rd grade lol(4 votes)
- how do u identify the side?(4 votes)

## 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.