Question

are these triangles similar?
e
r
f
s
g
yes
no
write a similarity statement.
△efg ~ △

Explanation:

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

For two triangles to be similar, two pairs of corresponding angles must be equal. In \(\triangle EFG\) and \(\triangle SRQ\), we assume that the marked angles are corresponding. If \(\angle E=\angle S\) (one pair of angles) and \(\angle F = \angle R\) (another pair of angles), then by the AA similarity criterion, the triangles are similar.

Step2: Write the similarity statement

When writing a similarity statement, we match the corresponding vertices. Since \(\angle E\) corresponds to \(\angle S\), \(\angle F\) corresponds to \(\angle R\), and \(\angle G\) corresponds to \(\angle Q\) (by the sum of angles in a triangle \(180^{\circ}\), if two angles are equal, the third is also equal), the similarity statement is \(\triangle EFG\sim\triangle SRQ\)

Answer:

yes; \(\triangle EFG\sim\triangle SRQ\)