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

Circle A centered at A4 3 with radius of 3 cm is translated so that it is concentric with Circle B centered at B8 5 with a radius of 9cm Which transformation wo class=

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mixter17

Hello!

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

Why?

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:

[tex]C_{A} =C_{B}\\C_{A}= 2*\pi *r_{A} =2*\pi *r_{B}\\\frac{r_{B} }{r_{A} } =\frac{9}{3} =3[/tex]

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

[tex]r_{A}*3=r_{B}=9cm[/tex]

Have a nice day!

Answer:

C

Step-by-step explanation:

Because it makes a similar to b

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