Question

determine whether the pair of triangles is similar. explain your reasoning. select choice select choice need help with this question?

Explanation:

Step1: Identify vertical angles

$\angle FHG$ and $\angle KHJ$ are vertical - angles, so $\angle FHG=\angle KHJ$.

Step2: Check for other equal angles

If $\angle F=\angle K$ (as indicated by the angle - markings), then by the AA (Angle - Angle) similarity criterion, $\triangle FHG\sim\triangle KHJ$.

Answer:

The triangles are similar by the AA similarity criterion if $\angle F = \angle K$.