In $ riangle ABC$ and $ riangle DEF$, $\frac{AB}{DE} = \frac{BC}{FD}$. Which of the following makes the two triangles similar?

Question

In $	riangle ABC$ and $	riangle DEF$, $\frac{AB}{DE} = \frac{BC}{FD}$. Which of the following makes the two triangles similar?

Accepted Answer

Step 1: $\frac{AB}{DE} = \frac{BC}{FD}$. The included angles are $\angle B$ (between $AB$ and $BC$) and $\angle D$ (between $DE$ and $FD$). By SAS similarity, $\angle B = \angle D$ makes $	riangle ABC \sim 	riangle DEF$.

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