Answer:
1. Given
2. Corresponding Angles Theorem
3. ∠NPO ≅ ∠MQN (or something similar)
4. AA Similarity Theorem
Step-by-step explanation:
1. Line MQ || Line OP is the given statement.
2. ∠QNM on the left triangle corresponds to ∠PNO on the second triangle.
3. These two angles are cut by a transversal (Line MP), and thus are congruent.
4. ∠MQN and ∠NMQ are congruent to ∠NOP and ∠NPO respectively, so the triangles are similar.
