Question

determine whether the pair of triangles is similar. explain your reasoning.
yes
select choice
select choice
△fgh - △jkh by aa similarity
only one pair of angles is congruent
△fgh - △kjh by aa similarity
need help
get a hint

Explanation:

Step1: Identify vertical angles

$\angle FHG$ and $\angle JHK$ are vertical - angles, so $\angle FHG\cong\angle JHK$.

Step2: Identify other congruent angles

From the diagram, $\angle F\cong\angle K$ (the marked angles).

Step3: Apply AA similarity

Since two pairs of corresponding angles are congruent, by the AA (Angle - Angle) similarity criterion, $\triangle FGH\sim\triangle KJH$.

Answer:

Yes, $\triangle FGH\sim\triangle KJH$ by AA Similarity