Final answer:
Circles A and B are automatically similar due to having the same shape defined by a central point and a constant radius distance from that point, regardless of the radii or locations of the two circles.
Step-by-step explanation:
The question asks about showing that circle A is similar to circle B. In mathematics, particularly geometry, two circles are always similar if they have the same shape but possibly different sizes. The similarity of circles is not affected by their location or orientation, so the different centers of these circles do not affect their similarity.
To show that circle A with a radius of 5 is similar to circle B with a radius of 10, one can simply state that all circles are similar by definition. This is because all circles have a round shape characterized by a set of points that maintain a constant distance (the radius) from a central point (the center), and this definition is independent of the size of the radius. Therefore, circle A and circle B are similar because they both conform to the definition of a circle.