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Make a 2 column proofplease make it simple like JK is parallel to NM(given)

Make a 2 column proofplease make it simple like JK is parallel to NM(given)-example-1
User Galois
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1 Answer

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Explanation:

Since L is the midpoint of JM, then JL = LM.

Therefore,

Statement: JL = LM

Reason: L is the midpoint of JM

The lines JK and NM are parrallel; therefore, by the alternate interior angles theorem,


\angle LJK=\angle LMN

Furthermore, since ∠JLK and ∠MLN are vertical angles,


∠JLK=∠MLN

Now since ∠JLK = ∠MLN, ∠LJK = ∠LMN, and JL = LM, then by ASA postulate


\boxed{△JKL=△MNL.}

Hence, our proof is complete!

User Lvil
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