We are given that JM is congruent to KM. This means that their measures are the same. Thus, M is a midpoint of JK.
Now, let's recall that a median of a triangle is a segment with endpoints being a vertex of a triangle and the midpoint of the opposite side. As we can see, the endpoints of LM are L, the vertex of â–ł JLK is L, and M the midpoint of the opposite to the L side JK. We conclude that LM is a median of â–ł JLK.