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Delvig [45]
3 years ago
10

Circle A, centered at A(-4, 3) with radius of 3 cm is translated so that it is concentric with Circle B, centered at B(8. 5) wit

h a radius of 9cm. Which transformation would now establish that the two circles are similar?

Mathematics
1 answer:
iogann1982 [59]3 years ago
7 0
<h2>Hello!</h2>

The answer is: Dilation with center B and scale factor on A.

<h2>Why?</h2>

Two circles will be always similar because of the ratio proportionality.

Since all circles are similar, we need to prove it by using the following formula:

C_{A} =C_{B}\\C_{A}= 2*\pi *r_{A} =2*\pi *r_{B}\\\frac{r_{B} }{r_{A} } =\frac{9}{3} =3

The number that multiplies Circle A radius to make it similar to Circle B radius is 3.

r_{A}*3=r_{B}=9cm

Have a nice day!

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