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.

Answer:

c took quiz

Step-by-step explanation:

Circle A can be made similar to circle B by dilating circle A by scale factor 4.

Circles can be made similar by performing transformations such as dilations, translation, etc.

The given parameters are:

Circle A

[tex](x,y) = (6,7)[/tex] --- center

[tex]r=4[/tex] --- radius

Circle B

[tex](x,y) = (2,4)[/tex]  --- center

[tex]r = 16[/tex] --- radius

To do this, we simply make both circles have the same radius.

Given that:

[tex]r_A=4[/tex] --- radius of A

[tex]r_B = 16[/tex] --- radius of B

Dilating the radius of A by 4 will make both circles have the same radius.

i.e.

[tex]R = r_A * 4[/tex]

[tex]R = 4 * 4[/tex]

[tex]R = 16[/tex]

Now, the new radius of A is 16; same as B

Both circles now have the same radius, means that the circles are similar.

Read more at similar shapes at:

https://brainly.com/question/2859427

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