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 congruent to two angles of another triangle, then the two triangles are similar.

Step2: Identify the corresponding angles

In \(\triangle HIJ\) and \(\triangle TRS\), \(\angle H\) and \(\angle T\) are marked as congruent (one - arc angles), and \(\angle I\) and \(\angle S\) are marked as congruent (two - arc angles). By the AA similarity criterion, \(\triangle HIJ\sim\triangle TRS\)

Answer:

\(\triangle HIJ\sim\triangle TRS\)