Circle A has center of (6, 7) and a radius of 4, and circle B has a center of (2, 4) and a radius of 16. Now, in order to show that circle A is similar to circle B, we will have to dilate circle A by a scale factor of 4. We can use transformations like dilation and translation to make two circles similar.
Given Information:
For circle A,
Center, C1(x, y) = (6, 7)
Radius, r1 = 4
For circle B,
Center, C2(x, y) = (2, 4)
Radius, r2 = 16
Showing the Two Circles Similar
Now, to make circles A and B similar, we will have to make their centers coincide. It can be done by following the steps listed below:
- First, translate circle A using the rule (x + 4, y + 3).
- Then, rotate circle A by 45° about the center.
- In the third step, dilate circle A by a scale factor of 4 (r2/r1).
- Finally, Reflect circle A about the origin to make it similar to circle B
Hence, we can now see that circle A is similar to circle B.
Learn more about a circle here:
brainly.com/question/11833983
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