Question 1124500: I need help with this, not sure where to go next:
GIVEN: N is the midpoint of line segment JL; N is the midpoint of line segment KM; JL = KM
PROVE: KN = NL
:)
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! 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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