Question

question 7 (multiple choice worth 4 points) (02.03r mc) 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

Explanation:

The Perpendicular Bisector Theorem states that any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment. A perpendicular bisector is a line that is perpendicular to the segment (line connecting the two stakes) and passes through its midpoint, which matches the requirement of finding a line where all points (including the new stake) are equidistant to the two original stakes.

Answer:

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