Answer:
Translate the circles so they align at a common center and subsequently enlarge circle Y using a scale factor of 3 ⇒ 3rd answer
Step-by-step explanation:
* Let's describe how to approach this problem
- To establish that all circles are similar, a translation and a dilation factor are necessary to align one circle with another
- We can reposition the circles to coincide at the center and then expand one of the circles by the defined scale factor, with the center of dilation being the common point for all circles.
* Let's resolve the issue
∵ Circle X displays a radius of 6 units
∵ Circle Y has a radius of 2 units
- Initially, we shift the circles so they coalesce at a central point
∴ We utilize translation to place the centers of both circles at the same location
- Determine the dilation factor based on the different radii of the circles
∵ The radius of circle X measures 6 units
∵ The radius of circle Y measures 2 units
∴ Therefore, the scale factor is calculated as 6/2 = 3
∴ Enlarge circle Y by a scale factor of 3
* The actions that affirm the circles are similar are as follows;
Translate the circles so they share a common center point, and
enlarge circle Y by a factor of 3.
