Determine whether the triangles are similar. If they are, select thecorrect similarity statement and the theorem used.

Answer: We have to check if the two triangles are similar:
[tex]\begin{gathered} \frac{GE}{ED}=\frac{GF}{FE} \\ \\ \frac{GD}{ED}=\frac{GF}{GE} \\ \\ \end{gathered}[/tex]This shows that the three sides of the two triangles are proportional, therefore following is the answer:
[tex]\text{ SSS Similarity}\rightarrow\text{ \lparen E\rparen}[/tex]