Question

please help? medal and fan for the best answer :)

Are the two figures below similar? Explain why or why not using complete sentences. Provide evidence to support your claims.

Answer 1

@poopsiedoodle

Answer 2

I would say the figures are not the same. Although the one on left appears to be double as big, it would have been so were it not for the side FG and MN, which are equal in both figures...

Answer 3

Do you know what similar means?

Answer 4

figures having the same shape; having corresponding sides proportional and corresponding angles equal

Answer 5

Right, so with that information you can point out two things in the figures that do not fit that description.

Answer 6

so they do not have having corresponding sides proportional and they do not have equal corresponding angles ?

Answer 7

@wio

Answer 8

Yeah, so how would you know that?

Answer 9

I don't know

Answer 10

You can use the two rightmost vertical sides.

Answer 11

okay can you explain a little more?

Answer 12

KL correspond to DE and MN correspond to FG

Answer 13

For similarity we need \[
\frac{KL}{MN} = \frac{DE}{FG}
\]

Answer 14

so how would I officially answer this question?

Answer 15

Well, find the lengths of them, and show that equation doesn't hold

Answer 16

how do I find the lengths?

Answer 17

KL goes from 1 to 0, so it has length 1

Answer 18

DE goes from 1 to -1, so it has length 2

Answer 19

mn has a length of 1?
and fg has a length of 1?

Answer 20

Yes

Answer 21

so kl/mn= 1/1
de/fg= 2/1

Answer 22

right?

Answer 23

yeah

Answer 24

so how would I put this information into a proper answer?

Answer 25

@wio

Answer 26

answer: they do not have having proportional corresponding sides and they do not have equal corresponding angles. we know this by finding the lengths that will show the equation wont hold. so kl/mn= 1/1
de/fg= 2/1

Answer 27

is this correct @wio ?

Answer 28

yeah because \(1\neq 2\)

Answer 29

okay thanks for all your help