A land surveyor places two stakes 500 ft apart and locates the midpoint between the stakes. From the midpoint, he needs to place another stake 100 ft away that is equidistant to the two original stakes. To apply the Perpendicular Bisector Theorem, the land surveyor would need to identify a line that is

perpendicular to the line connecting the two stakes and going through the midpoint of the two stakes
parallel to the line connecting the two stakes and going through the midpoint of the two stakes
perpendicular to the line connecting the two stakes and going through one of the two original stakes
parallel to the line connecting the two stakes and going through one of the two original stakes

The correct answer is:

perpendicular to the line connecting the two stakes and going through the midpoint of the two stakes.