In the diagram, which must be true for point p to be the centroid of the triangle? ln ⊥ jk, jo ⊥ lk, and jl ⊥ mk. jl = lk = kj jm = ml, lo = ok, and kn = nj. ln is a perpendicular bisector of jk, jo is a perpendicular bisector of lk, and mk is a perpendicular bisector of jl.

the meaning of centroid is the point where the medians meet.

in δ ljk

if ln is a perpendicular bisector of jk,

jo is a perpendicular bisector of lk, and

mk is a perpendicular bisector of jl.

then only point p can be the centroid of δ ljk.

the meaning of perpendicular bisector is that it bisects the side as well as make an angle of 90° to the side drawn from vertex opposite to it.

ln, jo, and km all are perpendicular bisector .

so all the three line segment work as medians also.

it means ,point p is the centroid where all the three medians ln,jo and mk meet.

answer:

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