If $\angle A=\angle D$ and $\frac{AB}{DE}=\frac{AC}{DF}$, then both triangles $ABC$ and $DEF$ are similar by which of the following criteria?

In $△ABC$ and $△DEF$:Given that $\angle A=\angle D$ (included angles are equal) and $\frac{AB}{DE}=\frac{AC}{DF}$ (the ratios of the corresponding sides containing these angles are equal).Therefore, by SAS (Side-Angle-Side) similarity criterion, $△ABC\sim △DEF$.