Question

which rule explains why these triangles are similar?
sss
sas
aa
none of the above; the triangles cannot be proven similar

Explanation:

Step1: Recall the triangle similarity rules

SSS (Side - Side - Side) similarity requires the ratios of all three pairs of corresponding sides to be equal. SAS (Side - Angle - Side) similarity requires the ratio of two pairs of corresponding sides to be equal and the included angles to be equal. AA (Angle - Angle) similarity requires two pairs of corresponding angles to be equal.

Step2: Analyze the given triangles

In triangle \(JIH\) and triangle \(TRS\), we can see that two pairs of angles are marked as equal. By 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.

Answer:

AA