Question

http://prntscr.com/s1yt7m

Answer 1

@Vocaloid @Hero @silvernight269

Answer 2

maybe you're right @Hero but can't we infer that the ratios are similar due to the sides that are given?

Answer 3

I goofed up on that. @HanAkoSolo you're free to continue helping @Nicole

Answer 4

hi @Nicole ! Still there? What you want to do here is figure out what side corresponds to what side, since these two shapes are similar yet not congruent. Then, figure out what factor the shape has grown/shrank by.

Answer 5

For the sake of this question, it's probably easiest to look at line segments' BC and GF, for example. What do you notice about these?

Answer 6

Yes I'm here

They are equal

Answer 7

Not entirely! Shapes are only equal if they are the exact same size and shape. These two shapes are similar. Meaning, if you figure out which side corresponds to what side of the similar shape, you can determine the ratios used to shrink the original shape, which would be ABCD for the sake of this problem.

Answer 8

BC is 15 units long, while GF is 7.5 units long. So what was mathematically done to 15 in order to shrink t to 7.5? I'll give you a hint: Try division!

Answer 9

15 divided by 7.5? Which would be 2

Answer 10

Correct! Now you know that the shape has been shrunk down by a factor of two. Does that make sense so far? @Nicole

Answer 11

Yes I think I got that part

Answer 12

Now if we're looking for CD, we have to find the side on shape EFGH that corresponds to CD. Which would be?

Answer 13

GH

Answer 14

right! And GH is 4, right? So this time, we're not dividing but we're multiplying by 2 in order to ratios of the original, bigger shape.

Answer 15

Which would be 8

Answer 16

So basically, multiple 4 by 2 and you should have your answer! Does that make sense?

Answer 17

Yes girl! <3

Answer 18

Okay got it that makes sense now thank youuu <3

Answer 19

You are so welcome :)

Answer 20

Is there a way you can help me out with another question?

Answer 21

If you can

Answer 22

Sure! Just go ahead and open a new one, I'm not busy at the moment

Answer 23

Okay