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luda_lava
1 month ago
14

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. a line parallel to the line connecting the two stakes

B. a line that is parallel to the perpendicular line

C. the midpoint along the line connecting the two stakes

D. the midpoint along any line that is perpendicular to the line connecting the two stakes
Mathematics
2 answers:
Svet_ta [12.7K]1 month ago
8 0

Answer:
We will select the final option as the correct one.
Step-by-step explanation:
A land surveyor positions two stakes 500 ft apart and identifies the midpoint between them.
From that midpoint, he is tasked with placing another stake 100 ft away, maintaining equal distance to the two original stakes.  
To utilize the Perpendicular Bisector Theorem, the land surveyor must identify a line that is "perpendicular to the segment connecting the two stakes and passes through the midpoint of those stakes."
Thus, we will choose the last option as the correct answer.

PIT_PIT [12.4K]1 month ago
8 0

Response:

D

Detailed explanation:

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