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Mathematics 12 Online
kekeman:

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? Translate circle A using the rule (x + 4, y + 3). Rotate circle A 45° about the center. Dilate circle A by a scale factor of 4. Reflect circle A about the origin.

SmokeyBrown:

To show that these circles are similar, we can perform the steps that would cause one circle to overlap the other. First, we can make the center points overlap with the Translation step. Next, we can make the circles the same size with the Dilation step. If you try this for yourself, you'll find that the circles end up overlapping, which demonstrates that they are similar

kekeman:

So does that mean the answer is going to be Dilate circle A by a scale factor of 4.

kekeman:

?

SmokeyBrown:

I would think that both the first option and the third option would be correct. Is this not a "choose all of the correct answers" question? If you had to choose 1... I guess I like the dilate answer

kekeman:

I can only choose one

SmokeyBrown:

That's interesting. Well, I think both the first and third options are right, so you should be safe to go with the third option, like you said

SmokeyBrown:

That's a weird question, because it even says "what steps" plural in the question but it only lets you choose one option. Huh

kekeman:

Yess that is odd

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