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To prove that triangles JKN and MLN are congruent, we use the given congruent and parallel lines to establish congruent corresponding angles, and then apply the ASA congruence postulate.
The subject in question is related to geometry, specifically congruent triangles.
To prove that triangles JKN and MLN are congruent (JKN ≅ MLN), we can use the given information JK ≅ LM and JK || LM. Since JK is congruent and parallel to LM, we can deduce that angle JKN is congruent to angle MLN because they are corresponding angles in parallel lines. Moreover, angle JNK would be congruent to angle LNM for the same reason. With two angles and the included side congruent (Angle-Side-Angle postulate), the triangles are congruent.
This conclusion is based on the fact that corresponding angles of parallel lines are congruent and the ASA postulate, which states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.
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