Question

are these triangles similar?
yes
no

Explanation:

Step1: Match corresponding angles

$\angle S \cong \angle F$, $\angle U \cong \angle G$

Step2: Apply AA similarity rule

If two angles of one triangle are congruent to two angles of another triangle, the triangles are similar. Triangle $STU$ has two angles matching triangle $FEG$, so they are similar.

Answer:

yes