Circle A has center of (4, 6) and a radius of 5, and circle B has a center of (1, 0) and a radius of 15. What steps will hemp show that circle A is similar to circle B? A. Dilate circle A by a scale factor of 3.

B. Translate circle A using the rule (x - 3, y + 6).

C. Rotate circle A 180 About the center.

D. Reflect circle A over the y-axis.

The correct option is;

A Dilate circle A by a scale factor of 3

Step-by-step explanation:

The given parameters are;

The center of circle A is (4, 6)

The radius of circle A = 5

The center of circle B = (1, 0)

The radius of circle B = 15

Therefore, circle A is similar to circle B and is equivalent to circle B, scaled down by a factor of 3

Radius of circle A = 5,

Radius of circle B = 15 = 3 × 5

Therefore, the scale factor for the dilation (transformation) of circle A to circle B is 3.

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step-by-step explanation:

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b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)