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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. What steps will help show that circle A is similar to circle B? (5 points)

Sagot :

tushargupta0691

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:

https://brainly.com/question/11833983

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