Answer:
To apply the Perpendicular Bisector Theorem, the land surveyor need to identify;
The midpoint along the line connecting the two stakes
Step-by-step explanation:
The distance between the two stakes placed by the land surveyor = 500 ft.
The distance between the third stake on the perpendicular line and the line between the two stakes = 100 ft.
The perpendicular bisector theorem states that points on the perpendicular bisector to a line are of equal length to both ends of the line to which is perpendicular to
Given that all points on a perpendicular bisector are equidistant from the two end points of the line from which it is constructed, the midpoint on the line from which the perpendicular bisector is constructed is equidistant from the end points of the line and is therefore a point on the perpendicular bisector
Therefore;
The land surveyor need to identify the midpoint along the line connecting the two stakes in order to create a perpendicular bisector from which the 100 ft. location of the third stake such that it is equidistant from the other two stakes.
