Aland surveyor places two stakes 500 ft apart and creates a perpendicular to the line that connects these two stakes. he needs to place a third 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 parallel to the line connecting the two stakes
a line that is parallel to the perpendicular line
the midpoint along the line connecting the two stakes
the midpoint along the line that is perpendicular to the line connecting the two stakes