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Mathematics 20 Online
OpenStudy (anonymous):

Circle A has a center of (3, 4) and a radius of 5. Circle C has a center of (0, −1) and a radius of 2. Prove that the two circles are similar. \

OpenStudy (perl):

all circles are similar

OpenStudy (anonymous):

ik but it is asking to explain how one the ratio of difference between the circles

OpenStudy (anonymous):

the question asks for you to find the difference between the circles i think

OpenStudy (perl):

if we can show two transformations to go from one circle to the other, and the transformations are either translations or dilations, then it is similar

OpenStudy (anonymous):

how would i do that?

OpenStudy (perl):

move circle C so that it is at center of circle A

OpenStudy (anonymous):

okay

OpenStudy (perl):

now dilate it by a factor of 5/2

OpenStudy (anonymous):

how did u ge 5/2?

OpenStudy (anonymous):

*get

OpenStudy (perl):

5/2 * 2 = 5

OpenStudy (anonymous):

how should i answer then?

OpenStudy (anonymous):

@perl im kinda pressed for time : (

OpenStudy (perl):

the slope of a perp. line is the negative reciprocal of the slope of the given line

OpenStudy (anonymous):

thats how i would answer?

OpenStudy (perl):

i cant give you the answer, but i can guide you

OpenStudy (perl):

im trying to guide you ☺

OpenStudy (anonymous):

lol ok can u tell me if my answer is right so far?

OpenStudy (perl):

ok

OpenStudy (perl):

so what is the negative reciprocal of -2 ?

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