Question

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.

Answer 1

Circle 1 and circle 2 have the same center.

Explanation:

x = -1 - (-1) = 0 so x

y = 10 - 10 = 0 so y

( x ,y )

scale factor 1.2/4.8m = 0.25

Answer 2

Option A.

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

`(4.8)/(1.2)=4`

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