Question

HELP!!!! A land surveyor places two stakes 500 ft apart. He locates the midpoint between the two stakes and creates a perpendicular to the line that connects these two stakes. He needs to place a third stake 100 ft away along this perpendicular line. To apply the Perpendicular Bisector Theorem, the land surveyor would need to identify
the location of the third stake as equidistant from the original two stakes
the location of the third stake as closer to one of the original two stakes
a line parallel to the line connecting the two stakes
a line congruent to the line connecting the two stakes

Answer 1

Answer:

A perpendicular bisector is a perpendicular line that divides a line into two equal halves

To apply the Perpendicular Bisector Theorem, the land surveyor will need to identify; the midpoint along the line connecting the two stakes

The reason why the surveyor needs to identify the midpoint is as follows:

According to the Perpendicular Bisector Theorem, all points on the perpendicular bisector of a line are of equal distance from the line's endpoint

In order to apply the perpendicular bisector, the surveyor would need to identify the midpoint from which the third stake can be placed 100 ft. along a perpendicular bisector drawn from the midpoint

Therefore, the surveyor needs to identify; the midpoint along the line connecting the two stakes

Learn more about perpendicular bisectors here:

brainly.com/question/1480723

Step-by-step explanation:

here we go hope it helps