Question

yes
no
write a similarity statement.
△□ ~ △

Explanation:

Step1: Identify Equal Angles

We know that $\angle G$ and $\angle E$ are marked equal (given by the red arcs). Also, $\angle GHD$ and $\angle EHF$ are vertical angles, so they are equal ($\angle GHD=\angle EHF$).

Step2: Apply AA Similarity

By the Angle - Angle (AA) similarity criterion, if two angles of one triangle are equal to two angles of another triangle, the triangles are similar. So, $\triangle GHD \sim \triangle EHF$ because $\angle G=\angle E$ and $\angle GHD = \angle EHF$.

Answer:

$\triangle GHD \sim \triangle EHF$