In the image, two circles are centered at A. The circle containing B was dilated to produce the circle containing B′. What is the scale factor of the dilation?

A.) 1

B.) 2

C.) 0.5

D.) -0.5

Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.

In the image, two circles are centered at A.

The circle containing B was dilated to produce the circle containing B′.

The radius of B and B' are 2 units and 1 unit respectively.

Dilation factor can be calculated as the ratio of the radii of circle B' to B.

[tex]\rm \dfrac{B'}{B} = \dfrac{1}{2}\\\\\\B' \ = \dfrac{1}{2}* B \\\\\\B' = 0.5\ B[/tex]

The scale factor is 0.5.

More about the dilation link is given below.

https://brainly.com/question/2856466

In the image, two circles are centered at A. The circle containing B was dilated to produce the circle containing B′. What is the scale factor of the dilation? A.) 1 B.) 2 C.) 0.5 D.) -0.5

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What is dilation?

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In the image, two circles are centered at A. The circle containing B was dilated to produce the circle containing B′. What is the scale factor of the dilation?

A.) 1

B.) 2

C.) 0.5

D.) -0.5