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:

`(GA)/(BE)=(GU)/(EF)`

Replacing:

`\begin{gathered} (12)/(15)=(16)/(20) \\ Simplify \\ (4)/(5)=(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.