McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
2. Medians and Altitudes of Triangles
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Exercise 29 Page 423

JM and KM are congruent segments, so M is a midpoint of JK.

Median.

Practice makes perfect
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.