To complete the sentence regarding the possible locations of points A and B in relation to point C on the number line, we need to understand that since points A and B are the same distance from point C, they could be positioned symmetrically around point C.
For example, if point C is located at position 0, point A could be at -d (to the left of C) and point B at +d (to the right of C), where d is any positive distance.
So the completed sentence would look like this:
"Point A could be located at [some distance to the left], and point B could be located at [the same distance to the right]."
If you provide the specific values for point C and the distances, I can help you fill in the exact values.