Question

name the triangle congruent to $\triangle abc$. $\triangle abc\cong\triangle\square$

Explanation:

Step1: Identify corresponding parts

In congruent triangles, corresponding sides and angles are equal. By observing the markings (equal - length sides and equal - measure angles), we match the vertices.

Step2: Determine the congruent triangle

Side \(BC\) in \(\triangle ABC\) corresponds to side \(PR\) in the other triangle. Angle \(B\) in \(\triangle ABC\) corresponds to angle \(P\) in the other triangle. Angle \(C\) in \(\triangle ABC\) corresponds to angle \(R\) in the other triangle. Using the Angle - Side - Angle (ASA) or Side - Angle - Side (SAS) congruence criteria (based on the side - angle - side or angle - side - angle markings), we can see that the vertices \(A\) corresponds to \(Q\), \(B\) corresponds to \(P\), and \(C\) corresponds to \(R\).

Answer:

\(\triangle ABC\cong\triangle QPR\)