Final answer:
No, having two pairs of corresponding angles congruent is not enough to prove that two triangles are similar. Proportional side lengths are also necessary.
Step-by-step explanation:
No, Emil is incorrect. While having two pairs of corresponding angles congruent is a necessary condition for two triangles to be similar, it is not sufficient. In addition to congruent corresponding angles, the two triangles must also have proportional side lengths. This is known as the Angle-Angle (AA) similarity postulate.
For example, consider two triangles with corresponding angles of 40 degrees, 60 degrees, and 80 degrees. Even though the corresponding angles are congruent, the side lengths could be different, making the triangles not similar.
Therefore, both congruent angles and proportional side lengths are necessary to prove that two triangles are similar.