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Statement Reason
JK║LM, KL║MN Given
∠KJL≅∠MLN, ∠KLJ≅∠MNL Corresponding Angles
JK≅LM Given
ΔJKL ≅ ΔLMN Angle Angle Side
1) Examining that pair of triangles, we can write out the following proof
Note that for these congruent triangles, we can state the following based on what's been given and on what we can infer as a consequence of these statements for these congruent triangles.
Statement Reason
JK║LM, KL║MN Given
∠KJL≅∠MLN, ∠KLJ≅∠MNL Corresponding Angles
JK≅LM Given
ΔJKL ≅ ΔLMN Angle Angle Side
Note that the congruent side is not included between those two congruent angles. That's what makes it different from ASA congruence.
2) Hence, that's the answer.
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Rewritten by : Barada
