Question

given \\( \triangle d e f \sim \triangle g h i \\). enter segments in the blanks provided that would result in a true equation.

answer attempt 1 out of 2

\\( \frac{d e}{d f}=\frac{}{1} \\)

Explanation:

Step1: Use the property of similar triangles

Since $\triangle DEF\sim\triangle GHI$, the ratios of corresponding sides are equal.

Step2: Identify corresponding sides

In similar triangles $\triangle DEF$ and $\triangle GHI$, side $DE$ corresponds to side $GH$, and side $DF$ corresponds to side $GI$.
So, by the property of similar - triangles (corresponding sides are proportional), we have $\frac{DE}{DF}=\frac{GH}{GI}$.

Answer:

$\frac{DE}{DF}=\frac{GH}{GI}$