Question

given:
l, m, n are midpoints
median to overline {bc}
segment bl
segment am
segment as

Explanation:

Step1: Recall the definition of a median

A median of a triangle is a line segment that joins a vertex to the mid - point of the opposite side.

Step2: Analyze each option

• For segment \(BL\): \(L\) is the mid - point of \(AC\), not \(BC\). So, segment \(BL\) is not a median to \(BC\).
• For segment \(AM\): \(M\) is the mid - point of \(BC\). A median from vertex \(A\) to the mid - point \(M\) of \(BC\) is exactly what a median to \(BC\) is.
• For segment \(AS\): \(S\) is not a mid - point of any side related to the median definition for \(BC\) in the context of the problem (since \(L,M,N\) are given as mid - points and \(M\) is the mid - point of \(BC\)).

Answer:

segment \(AM\)