Question

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

Answer 1

They look very similar, don't you think?

Answer 2

their side lengths are in a constant proportion too.

Answer 3

ABCDE is FGHIJ scaled by a factor of 2

Answer 4

"When two figures are similar, the ratios of the lengths of their corresponding sides are equal."

Answer 5

Alright, so this means that they both are similar?

Answer 6

as far as I can tell. I think you should check each side to make sure the ratio of the distances is equal

Answer 7

if you double the size of each side, the smaller scale changes to the bigger scale...

Answer 8

From H-I, there is a 1.5 y movement. If you double that, that would turn into 3 y spaces...

Answer 9

Jus like in D-C

Answer 10

yeah, I did it visually like that too, but on a test you might have to use the distance formula for the lines with slope

Answer 11

How do I do that?

Answer 12

gonna try it with BA and GF

BA=Sqrt(8)

GF=Sqrt(2)

\(\huge \frac{\sqrt8}{\sqrt2}=\frac{\sqrt4\cancel{\sqrt2}}{\cancel{\sqrt2}}=2\)

Answer 13

forgot about the ratio bit in the first half I guess

Answer 14

What should I write for the answer tho?

Answer 15

I'm a little confused

Answer 16

Yes. All of the sides are in a constant ratio of 2. I guess that's a bit short

Answer 17

Yes, a little longer :P
Even if ur saying the same thing XD
as long as they know u kno wat ur talkin about :P

Answer 18

well you can flesh it out. look at the definition of similarity I posted up above and then justify it using the side length ratios

Answer 19

for example BC/GF=2

Answer 20

"Yes, these 2 figures are similar. All of the sides in the figures are in a constant ration of 2."
This is what I got... I think I should add at least one more sentence. Got any idea?

Answer 21

you just repeated what I said. what's a ration?

Answer 22

I know lol, I'm adding to the answer :P
Is that what I should write?

Answer 23

Justify the fact that they're similar. You made an earlier observation that the larger shape is twice the length of the smaller shape on each side. That's good enough

Answer 24

"Yes, these 2 figures are similar. All of the sides in the figures are in a constant ration of 2. Also, the figure ABCDE is twice the length of figure FGHIJ on each side."
Do you think that'll be good?

Answer 25

again, go get a dictionary. rations are different from ratios

Answer 26

Oh, sorry. You want me to change ration to ratio?

Answer 27

if you want to, idk

Answer 28

rations are like when there's a war and to preserve food they limit what you can eat

Answer 29

Oh, haha XD
Its definitely ration :P

Answer 30

Anyway, thnx so much for the help man!

Answer 31

u think u might be able to help me with a couple more?

Answer 32

probably not. haven't slept all night. wanna waste some time before I pass out

Answer 33

Alright, either way. Thnx so much! Help appreciated!

Answer 34

mhm

Answer 35

alright well hope you can sleep well!
Have a great dayyyZ :D