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 circl

Question

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?

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Alice 4 weeks 2021-09-21T08:43:42+00:00 1 Answer 0

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    2021-09-21T08:45:11+00:00

    Answer:

    Translation and dilation.

    Step-by-step explanation:

    If we want the circles to be similar, what we must do first is to move the center of circle “A” to that of circle “B”.

    The center of “A” is (4,5), therefore it is necessary to move 3 (4-1) units in the axis of the “x” towards the left and it is necessary to move 2 (7-5) units in the axis of the “y” up, with this would have the same center and would be similar circles.

    If we want them to be equal, we must calculate the scale of the radii, that is, 9/3 = 3, therefore the circle “A” must expand up to 3 times to reach the same radius, thus making both circles equal.

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45:7+7-4:2-5:5*4+35:2 =? ( )