To determine if the triangles are similar, we need to check if their corresponding sides are proportional or if they have equal angles.

For triangles $\triangle ABC$ and $\triangle DEF$:

• Check the ratio of corresponding sides:
  • $\frac{AB}{DE} = \frac{3.7}{11.1} \approx 0.333$
  • $\frac{BC}{EF} = \frac{4.8}{14.4} = \frac{1}{3} \approx 0.333$

As the ratios are equal and they have equal angles, the triangles are similar.

Thus: $\triangle ABC \sim \triangle DEF$ by SAS (Side-Angle-Side) similarity criteria.