1. △ABC with ∠NML ≅ ∠OPQ
1. given
2. ∠ML'N' ≅ ∠OQP
2.given
3. n = #&\frac{\sf PQ}{\sf ML}#&
3. given
4. △MLN dilated by n
4. given
5. ML' = nML
5. property of dilation
6. PQ = nML
6. multiplication property
7. ML' = PQ
7. substitution
8. ∠MLN ≅ ∠ML'N'
8. property of dilation
9. ∠OQP ≅ ∠ML'N'
9. transitive property
10. △MN'L' ≅ △POQ
10. ASA