Suppose x is any positive number. circle 1: center (−7, 4) and radius 8x circle 2: center (−7, 4) and radius 2x why is circle 1 similar to circle 2? a: circle 1 and circle 2 have the same diameter. b: circle 1 is a dilation of circle 2 with a scale factor of 4. c: circle 1 is congruent to circle 2. d: circle 1 is a dilation of circle 2 with a scale factor of 0.25.

Option B: Circle is a dilation of circle   with a scale factor of  

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

we have

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

2

step-by-step explanation: