Proof Given:LM=2MN and MN=1/2NP Prove:Line segment LM is congruent to line segment NP. im just really confused with this. i think you would do 1/2LM=MN for the next line, but im just not sure, overall im just really confused with this. Solution Given : LM = 2*MN ---(1) and MN = (1/2)*NP ----(2) Taking (1) LM = 2*MN => MN = (1/2) LM => MN = LM/2 -----(3) MN = (1/2)*NP [ given ---(2) ] From (3) and (2) We get LM/2 = NP/2 [ both equal to MN ] Or, LM = NP Hence LM is congruent to LP.