circle x with a radius of 6 units and circle y with a radius of 2 units are shown. which steps would prove…

circle x with a radius of 6 units and circle y with a radius of 2 units are shown. which steps would prove the circles similar? translate the circles so they share a common center point, and dilate circle y by a scale factor of 4. translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle y by a scale factor of 4. translate the circles so they share a common center point, and dilate circle y by a scale factor of 3. translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle y by a scale factor of 3.

circle x with a radius of 6 units and circle y with a radius of 2 units are shown. which steps would prove the circles similar? translate the circles so they share a common center point, and dilate circle y by a scale factor of 4. translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle y by a scale factor of 4. translate the circles so they share a common center point, and dilate circle y by a scale factor of 3. translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle y by a scale factor of 3.

Answer

Answer:

Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.

Explanation:

Step1: Recall similarity of circles

All circles are similar. To map one circle to another, we use translation and dilation.

Step2: Calculate scale - factor

The scale factor $k$ from circle Y to circle X is $\frac{r_X}{r_Y}=\frac{6}{2} = 3$, where $r_X = 6$ is the radius of circle X and $r_Y = 2$ is the radius of circle Y.

Step3: Determine transformation

First, translate the circles to have the same center. Then dilate the smaller circle (circle Y) by a scale factor of 3 to make it congruent to circle X, thus proving their similarity.