Question

Suppose x is any positive number.

Answer 1

B: Circle 1 is a dilation of circle 2 with a scale factor of 4. 

Answer 2

Answer:

Option B: Circle $1$ is a dilation of circle  $2$ with a scale factor of  $4$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and is called the scale factor

All circles are similar and the scale factor is equal to the ratio of its radius or the ratio of its diameters or the ratio of its circumferences

Let

z------> the scale factor

A----> the radius of circle 1

B-----> the radius of circle 2

so

$z=\frac{A}{B}$

we have

$A=8x\ units$

$B=2x\ units$

$z=\frac{8x}{2x}=4$

The dilation is an enlargement because the scale factor is greater than $1$