I disagree that the question was poorly worded. Rather, that these words do mean different things. So barrett21, which interpretation is correct?
Like CarlB, I also interpretted the "centerline" to be referring to the horizontal alignment of the profile, not the painted line on the physical road. I interpretted "breaks" as CarlB did also. But I can see how the others read "centerline" and "breaks" as they did.
I believe you want to "break" only the side street "centerline" at the intersection, leave the main throughway as one line. That way, you get one true profile for a stronger, more verifiable design. This is just my preference, I don't think there is a standard, just what gives you the most comfort in your design.