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.​

Respuesta :

Answer:

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.

For a circle to be similar dilate circle A by a scale factor of 3

What is a circle?

A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.

The given parameters are;

  • The centre 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

The 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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