Question

Circle A has center of (2, 3) and a radius of 5, and circle B has a center of (1, 4) and a radius of 10. What steps will help show that circle A is similar to circle B? (5 points) Dilate circle A by a scale factor of 2. Translate circle A using the rule (x + 1, y − 1). Rotate circle A 180° about the center. Reflect circle A over the y-axis.

Answer 1

To prove the similarity between the two circles we must translate circle A by <- 1, 1> and dilate the figure by a factor of 2.

How to prove that two circles are similar

Herein we must prove that two circles are similar by taking advantage of two key characteristics: (i) Center, (ii) Radius. Based on such facts, we must apply the following rigid transformation:

1. Translating the circle from A to B.
2. Enlarging the circle A by a dilation factor.

Step 1 - Traslating the circle from A to B: Translation vector - (- 1, 1).

(x, y) = (2, 3) + (- 1, 1)

(x, y) = (1, 4)

Step 2 - Dilate the circle by a factor of 2.

r = 2 · 5

r = 10

To prove the similarity between the two circles we must translate circle A by <- 1, 1> and dilate the figure by a factor of 2.

To learn more on transformation rules: brainly.com/question/9201867

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