<PRE><B>Question 1124500</B>
you are given that JL = KM


you are also given that N is the midpoint of both JL and KM.


this means that JN = NL and KN = NM


this also means that JL = JN + NL and KM = KN + NM.


since JL = JN + NL, and since JN = NL, then you can replace JL with NL which results in JL = 2 * NL


since KM = KN + NM, and since KN = NM, then you can replace NM with KN which results in KM = 2 * KN


since JL = 2 * NL and since KM = 2 * KN, then JL = KM is equivalent to 2 * NL = 2 * KN


divide both sides of the equation 2 * NL = 2 * KN by 2 to get NL = KN which is the same as KN = NL which is what you want to prove.


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