The proof by S A S congruence rule is given below.
Given from fig, JK || LM.
And JK = LM
Since JK is parallel to LM and JN is a transversal so the angle made on the same side of JN are corresponding angles which are equal to each other.
So, angle KJL = angle MLN........equation 1
Also given L is the midpoint of JN so, JL = NL.....equation 2
Now, in triangle JLK and triangle LNM
JK = LM (given)
angle KJL = angle MLN (from 1)
JL = NL (from 2)
So by S A S congruence rule, triangle JLK conguent triangle LNM proved.
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