Question

determine whether the pair of triangles is similar. explain your reasoning. select choice select choice select choice no yes 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

We are given that $\angle F=\angle K$.

Step3: Apply AA (Angle - Angle) similarity criterion

Since two pairs of corresponding angles are equal ( $\angle F=\angle K$ and $\angle FHG=\angle KHJ$), by the AA similarity criterion, $\triangle FHG\sim\triangle KHJ$.

Answer:

Yes; by the AA similarity criterion since $\angle F = \angle K$ and $\angle FHG=\angle KHJ$ (vertical angles are equal).