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
Answer: We will choose the last option is correct. Step-by-step explanation: A land surveyor places two stakes 500 ft apart and locates the midpoint between the stakes. From the midpoint, he needs to place another stake 100 ft away that is equidistant to the two original stakes. Therefore, to apply the Perpendicular Bisector Theorem, the land surveyor would have to identify a line that is "perpendicular to the line connecting the two stakes and going through the midpoint of the two stakes". Therefore we will choose the last option is correct. (Answer)
