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.
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so... what would be your 1st step anyhow?
use the distance formula ??
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
the bigger as the small one
well, either really, to look like the other
then
then you'd show that both are similar
how
so... look at the picture with both.... what would be the 1st step you'd take?
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
last one
|dw:1388264991065:dw|
so is it wrong ?
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?
one question what does Translate circle A using the rule (x+4, y+3). mean???
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 )
so the original "x-coordinate" gets shifted by +4 units and the original "y-coordinate" gets shifted by -3 units
woops.... I meant... +3 units rather
(8,-3) (8+4,-3+3) (12,0)
yeap, in that example, yes, thus (12,0) is the TRANSLATED version of (8, -3), using the rule of (x+4, y+3)
ah so will the first one be the correct answer ??
"What \(\bf\large steps\) will help show that circle A is similar to circle B?"
what the meaning of Rotate and Dilate
|dw:1388265840153:dw| dilate = expand, swell, blow up
i think Rotate is the correct answer
are you supposed to pick only one of choices?
yes
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
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
i think that is the 3rd one is the answer cuz Dilate circle A by a scale factor of 4
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
4 and 16 in radius that is =)
yes the last one is correct we did it yaya
CORRECTION!! THE CORRECT ANSWER IS Dilate circle A by a scale factor of 4. i just took the test!
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