Question

A land 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​
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Answer 1

Answer:

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

step by step:

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

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