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question 14 (multiple choice worth 4 points) (06.03 mc) 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 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
The perpendicular bisector of a segment has the property that any point on it is equidistant from the endpoints of the segment. Here, the line created (perpendicular to the line connecting the two stakes and passing through their mid - point) is the perpendicular bisector. So, any stake placed on this perpendicular bisector (the third stake in this case) will be equidistant from the original two stakes.
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the location of the third stake as equidistant from the original two stakes