Based on the perpendicular bisector theorem, the surveyor would need to identify: D. the midpoint along any line that is perpendicular to the line connecting the two stakes
What is the Perpendicular Bisector Theorem?
The Perpendicular Bisector Theorem states that if a perpendicular bisector (e.g. line OZ) bisects another segment (e.g. XY) to form right angles at point O, then any point (i.e. point Z) on the perpendicular bisector would be equidistant from the endpoints (e.g. X and Y) of the line segment it divides (see image attached below).
In the same vein, the land surveyor would need to apply the perpendicular bisector theorem to identify a midpoint that connects the two stakes.
Therefore, we can state that, based on the perpendicular bisector theorem, the surveyor would need to identify: D. the midpoint along any line that is perpendicular to the line connecting the two stakes.
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