Circle A has center of (5, −2) and a radius of 7, and circle B has a center of (7, −8) and a radius of 35. What steps will help show that circle A is similar to circle B?
Rotate circle A 90° counterclockwise about the center.
Translate circle A using the rule (x − 2, y + 6).
Reflect circle A over the y-axis.
Dilate circle A by a scale factor of 5.

Question

Circle A has center of (5, −2) and a radius of 7, and circle B has a center of (7, −8) and a radius of 35. What steps will help show that circle A is similar to circle B?
Rotate circle A 90° counterclockwise about the center.
Translate circle A using the rule (x − 2, y + 6).
Reflect circle A over the y-axis.
Dilate circle A by a scale factor of 5.

littlet · Answer

@imqwerty

littlet · Answer

@welshfella could you help me out?

littlet · Answer

@Arcadiouse can you help?

arcadiouse · Answer

Did it come with a graph or something?  Cause it should have,

littlet · Answer

No it did not i thought that was weird as well @Arcadiouse

arcadiouse · Answer

Hmm.  What do you think it is?

littlet · Answer

I was thinking D

littlet · Answer

But i am not sure

arcadiouse · Answer

It is surely not C or B because the formula wouldn't work..  Also C would make it -5, +2 so.  It has to be A or D

arcadiouse · Answer

Rotating won't change the size or show it is the same size.   So I would think D...

littlet · Answer

Yeah i was thinking B but then i looked at the translation and it would have had to been a different translation one.

littlet · Answer

That is a good point. so D?

arcadiouse · Answer

Yeah we eliminated the others.  if you get it wrong we will see again.   If you get it right let me know too.

littlet · Answer

If you wanted to move a circle you would use translation (the right one not like B)

littlet · Answer

Alright i will message you with what i get thank you so much !

welshfella · Answer

I wonder if theres a mistake in B  What if the second  part was x - 6?

arcadiouse · Answer

No problem.

arcadiouse · Answer

Yeah,  that could be it.  I do know I have ran into some of that when I have taken math on FLVS

littlet · Answer

Yeah it would be right then.. but if that is so then i will bring it up with my teacher because that would be the only other one that would make sense.

arcadiouse · Answer

Yeah.

welshfella · Answer

dilating A by factor 5 would give circle B though...

welshfella · Answer

To be honest I'm not familiar with similar circles...

arcadiouse · Answer

I am.  I had to do them last semester.

littlet · Answer

Lol yeah i find them a little confusing

welshfella · Answer

oh ok 
I never did them in class.

arcadiouse · Answer

Yeah, thanks to FCAT and FSA we learn stuff we wouldn't use in real life alot.  So...

welshfella · Answer

similar cant mean the same shape  for circles  - because they are all the same shape!!!

littlet · Answer

Wow a that seems like a lot of circles.. a whole semester.. wow

arcadiouse · Answer

Oh, not the whole semester.  There was a whole chapter about translation, dilation and similar shapes with reflections

littlet · Answer

Oh ok. that sounds a little bit better lol

arcadiouse · Answer

ya

arcadiouse · Answer

So did you get it right?

littlet · Answer

i have a few more questions i have to work on before i can submit

welshfella · Answer

If they want you to transform one circle to the other then there are 2 steps. First a translation. Then a dilation.

welshfella · Answer

so it may be B and D.

littlet · Answer

Thing is though that B is the wrong translation

welshfella · Answer

yes -  thats why i thought there might be an error there

littlet · Answer

True.