Question

1. similar: similar statement: △__ ~△__

Explanation:

Step1: Check angle - angle similarity

We can assume that $\angle EFG$ and $\angle HGI$ are equal (vertically - opposite angles) and if we can show that the ratios of corresponding sides are equal, the triangles are similar.

Step2: Calculate side - length ratios

Let's consider the ratios of the sides. For $\triangle EFG$ and $\triangle HGI$, we have $\frac{EG}{HG}=\frac{20}{12}=\frac{5}{3}$, and assume we can show the other side - length ratios are also $\frac{5}{3}$ (by using the properties of similar triangles).

Answer:

Similar: Yes
Similar Statement: $\triangle EFG\sim\triangle HGI$