Question

which two triangles are congruent? complete the congruence statement. submit

Explanation:

Step1: Identify corresponding angles and sides

In triangle \(HGF\) and \(RPQ\), we can match the angles and sides. The double - marked side in \(HGF\) and the single - marked side in \(RPQ\) are not the key. But by looking at the angle - angle - side (AAS) or angle - side - angle (ASA) congruence criteria (since we have two angles and a non - included or included side).
We observe that \(\angle H\) corresponds to \(\angle R\), \(\angle F\) corresponds to \(\angle Q\), and the side between \(\angle H\) and \(\angle F\) in \(\triangle HGF\) and the side between \(\angle R\) and \(\angle Q\) in \(\triangle RPQ\) (by the order of angles and sides in congruent triangles).

Answer:

\(\triangle HGF\cong\triangle RPQ\)