Answer:
Dilate circle A by a scale factor of 4.
Step-by-step explanation:
To show that two circles are similar, use transformations to map one to the other.
<u>Step 1</u>
Translate circle A so that its center is the same as circle B.
- Center of circle A = (6, 7)
- Center of circle B = (2, 4)
Translate circle A using the rule (x - 4, y - 3)
<u>Step 2</u>
Find the scale factor needed to dilate circle A to the size of circle B using the radii of the circles.
- Radius of circle A = 4
- Radius of circle B = 16
⇒ scale factor = 16 ÷ 4 = 4
Dilate circle A by a scale factor of 4.
Therefore, the only answer option that is correct is:
Dilate circle A by a scale factor of 4.
