Robert F. answered • 07/19/15

A Retired Professor to Tutor Math and Physics

Since the points are assigned randomly and you are asked for the number of non-overlapping regions, the answer must hold for equally spaced points. Thus, you only need to deal with a square.

The lines are the sides of the square and its two diagonals. There are four regions interior to the square and four regions outside of the square (one for each side of the square).

There is a total of eight regions. Answer D is correct.

David W.

07/19/15