The correct answer is: A. South-west.
The relationship between “South” and “North-West” is that they are two compass directions that are 90 degrees apart. The same is true for “West” and “South-West”.
Option B, North-East, is not correct because it is not 90 degrees apart from West. Option C, East, is not correct because it is not 90 degrees apart from West. Option D, South, is not correct because it is the same compass direction as West.