Why is circle 1 similar to circle 2?

circle 1: center (−1, 10) and radius 4.8

circle 2: center (−1, 10) and radius 1.2

a-circle 1 is a dilation of circle 2 with a scale factor of 4.

b-circle 1 and circle 2 have the same center.

c-circle 2 is a dilation of circle 1 with a scale factor of 3.6.

d-circle 1 is congruent to circle 2.

Option A.

Step-by-step explanation:

we know that

The circle 1 and circle 2 have the same center

The ratio of its radius is equal to the scale factor

The scale factor is equal to

That means

The radius of circle 1 is 4 times the radius of circle 2

therefore

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

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i

congruent segments

step-by-step explanation: