Which Way is South?

It is commonly known that the "front" two stars of the Big Dipper line up in such a way as to point "upwards" (thinking of the Big Dipper as an actual dipper of that would hold water) toward the north star and therefore toward the north (approximately), at least in terms of how we see it from Earth. Thinking of this phenomenon in the same frame of reference (as we see it from Earth), if you follow the line of the same two stars "downwards" (in the opposite direction), does it point to the south?