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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


a line parallel to the line connecting the two stakes

a line that is parallel to the perpendicular line

the midpoint along the line connecting the two stakes

the midpoint along any line that is perpendicular to the line connecting the two stakes

Respuesta :

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.

Answer:

The midpoint along the line connecting the two stakes

Step-by-step explanation:

Let me know if this was correct! I worked hard on this so it would be nice to get some feedback ;)

Have a great day and PLEASE MARK BRAINLIEST!

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