Question

which rule explains why these triangles are similar?

Explanation:

Step1: Recall triangle similarity rules

SSS (Side - Side - Side) similarity requires all three sides in proportion. SAS (Side - Angle - Side) similarity requires two sides in proportion and the included angle equal. AA (Angle - Angle) similarity requires two pairs of equal angles.

Step2: Check angles in the triangles

In \(\triangle FGH\) and \(\triangle PQR\), \(\angle H=\angle P = 91^{\circ}\) and \(\angle G=\angle R=38^{\circ}\). So there are two pairs of equal angles.

Answer:

C. AA