Which of the following is true when proving all circles are similar to each other. (2 points)

Responses

All circles are not similar to each other.
All circles are not similar to each other.

The radius of all circles is proportional to any other circle by dilation. Because all circles are proportional to each other they are all similar.
The radius of all circles is proportional to any other circle by dilation. Because all circles are proportional to each other they are all similar.

The radius of all circles is proportional to any other circle by rotations. Because all circles are proportional to each other they are all similar.

1 answer

The correct statement is:

The radius of all circles is proportional to any other circle by dilation. Because all circles are proportional to each other they are all similar.

This is true because similar figures maintain the same shape but can differ in size, which is a characteristic of circles. All circles can be transformed into each other using dilation (resizing) without altering their proportional relationships, confirming their similarity.