Question

given:
l, m, n are midpoints
centroid of triangle abc
r
p
q

Explanation:

Step1: Recall the definition of centroid

The centroid of a triangle is the point of intersection of its medians. A median of a triangle is a line segment joining a vertex to the mid - point of the opposite side.

Step2: Analyze the given points

Given that \(L\), \(M\), \(N\) are mid - points. The lines \(AL\), \(BM\), and \(CN\) are medians of \(\triangle ABC\). The point \(Q\) is the intersection of these medians.

Answer:

\(Q\)