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Mathematics 21 Online
OpenStudy (anonymous):

Circle A has center of (6, 7) and a radius of 4 and circle B has a center of (2, 4) and a radius of 16. What steps will help show that circle A is similar to circle B? Translate circle A using the rule (x+4, y+3). Rotate circle A 45° about the center. Dilate circle A by a scale factor of 4. Reflect circle A about the origin.

OpenStudy (anonymous):

@RadEn this is the last question for today help plz

OpenStudy (anonymous):

@campbell_st help plz

OpenStudy (anonymous):

@Euler271 help plz

OpenStudy (anonymous):

@jdoe0001 help plz

OpenStudy (anonymous):

@nincompoop help plz

OpenStudy (anonymous):

@mangorox help plz

OpenStudy (jdoe0001):

OpenStudy (jdoe0001):

so... what would be your 1st step anyhow?

OpenStudy (anonymous):

use the distance formula ??

OpenStudy (jdoe0001):

well, you're expected to make the small one as the bigger, size and location or the bigger as the small one, size and location

OpenStudy (anonymous):

the bigger as the small one

OpenStudy (jdoe0001):

well, either really, to look like the other

OpenStudy (anonymous):

then

OpenStudy (jdoe0001):

then you'd show that both are similar

OpenStudy (anonymous):

how

OpenStudy (jdoe0001):

so... look at the picture with both.... what would be the 1st step you'd take?

OpenStudy (jdoe0001):

you're given a few steps to take, some are valid, some are not so from the choices, what steps would you take, is more or less what's being asked

OpenStudy (anonymous):

last one

OpenStudy (jdoe0001):

|dw:1388264991065:dw|

OpenStudy (anonymous):

so is it wrong ?

OpenStudy (jdoe0001):

keep in mind that, one is bigger, and their center differ so if the sizes differ.... wouldn't you firstly want to change their size?

OpenStudy (anonymous):

one question what does Translate circle A using the rule (x+4, y+3). mean???

OpenStudy (jdoe0001):

translate, or transform, or "move about" the figure (x+4, y+3) if the original, "preimage" point was at say ( 8, -3) then the translated version will be at (8+4, -3+3 )

OpenStudy (jdoe0001):

so the original "x-coordinate" gets shifted by +4 units and the original "y-coordinate" gets shifted by -3 units

OpenStudy (jdoe0001):

woops.... I meant... +3 units rather

OpenStudy (anonymous):

(8,-3) (8+4,-3+3) (12,0)

OpenStudy (jdoe0001):

yeap, in that example, yes, thus (12,0) is the TRANSLATED version of (8, -3), using the rule of (x+4, y+3)

OpenStudy (anonymous):

ah so will the first one be the correct answer ??

OpenStudy (jdoe0001):

"What \(\bf\large steps\) will help show that circle A is similar to circle B?"

OpenStudy (anonymous):

what the meaning of Rotate and Dilate

OpenStudy (jdoe0001):

|dw:1388265840153:dw| dilate = expand, swell, blow up

OpenStudy (anonymous):

i think Rotate is the correct answer

OpenStudy (jdoe0001):

are you supposed to pick only one of choices?

OpenStudy (anonymous):

yes

OpenStudy (jdoe0001):

anyhow... from what I read... most of the choices don't apply I dont' think well... notice the radius of A and the radius of B A radius is 4 B radius is 16 4 * 4 = 16 <-- that is, 16 is 4 times 4, or 4 SCALED by a factor of 4

OpenStudy (jdoe0001):

so to show the similarity, you'd really need 2 steps, translation and dilation so... in this case none of the choices provide the former, so is the latter

OpenStudy (anonymous):

i think that is the 3rd one is the answer cuz Dilate circle A by a scale factor of 4

OpenStudy (jdoe0001):

tis the only valid one, yes circle A is 4, circle B is 16 so firstly to make A look like B, you'd blow it up to B size, by how much? well, 4*4 =16, so a factor of 4

OpenStudy (jdoe0001):

4 and 16 in radius that is =)

OpenStudy (anonymous):

yes the last one is correct we did it yaya

OpenStudy (anonymous):

CORRECTION!! THE CORRECT ANSWER IS Dilate circle A by a scale factor of 4. i just took the test!

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