Circle A has center of (4, 5), and a radius of 3 and circle B has a center of (1, 7), and a radius of 9. What steps will help show that circle A is similar to circle B? (6 points) Select one: a. Translate circle A using the rule (x + 3, y − 2). b. Dilate circle A by a scale factor of 3. c. Rotate circle A 90° about the center. d. Reflect circle A over the x-axis.

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melanierodriguez0731 melanierodriguez0731 · Answer 1 · 2021-04-28T19:26:43+02:00

Answer:

dilate circle a by 3

Step-by-step explanation:

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facundo3141592 facundo3141592 · Answer 2 · 2022-04-26T11:44:33+02:00

One of the transformations that we need to use is the one in option b: "Dilate circle A by a scale factor of 3"

We say that two figures are similar if we can apply a series of transformations to one of them, and get the other.

In this case, we have two circles, one centered at (4, 5) with a radius of 3 units, and the other centered at (1, 7) with a radius of 9 inches.

So, if we take the first circle, and move it:

3 units to the left and 2 units up, we will get the two circles centered in the same point.

Then we need to apply a dilation of scale factor 3, so the radius of circle A becomes:

R' = 3*3 = 9

The same as the radius of circle B.

So, the two circles are similar.

From the options, the transformation that we must apply is b: " Dilate circle A by a scale factor of 3" So that is the correct option.

If you want to learn more about circles, you can read:

https://brainly.com/question/1559324