Question

Are the triangles similar? If yes, write a similaritystatement and explain how you know they are similar.

Answer 1

First, let us check if:

$\frac{GA}{BE}=\frac{GU}{EF}$

Replacing:

$\begin{gathered} \frac{12}{15}=\frac{16}{20} \\ Simplify \\ \frac{4}{5}=\frac{4}{5} \end{gathered}$

and, ∠G = ∠E

Then,

65° = 65°

Which satisfies the SAS( Side, Angle, Side) - theorem.

Hence, the correct answer is option A.