Question

are these triangles similar?
write a similarity statement.

Explanation:

Step1: Recall the AA (Angle - Angle) similarity criterion

If two angles of one triangle are equal to two angles of another triangle, then the two triangles are similar.
In \(\triangle RTS\) and \(\triangle FEG\), \(\angle T=\angle E = 99^{\circ}\) and \(\angle S=\angle G\) (given by the congruent angle marks).

Step2: Write the similarity statement

When writing a similarity statement, we match the corresponding angles. So \(\triangle RTS\sim\triangle FEG\)

Answer:

yes; \(\triangle RTS\sim\triangle FEG\)