Question

△ghi≌△
complete the congruence statement.

Explanation:

Step1: Identify corresponding vertices

In congruent triangles, corresponding angles and sides are equal. In \(\triangle GHI\) and \(\triangle TUS\), \(\angle G = 57^{\circ}\), \(\angle H=33^{\circ}\), \(\angle I = 90^{\circ}\); \(\angle T = 33^{\circ}\), \(\angle U = 90^{\circ}\), \(\angle S=57^{\circ}\). Also, \(GH = 31\) mi, \(HI = 26\) mi, \(GI = 17\) mi; \(TU = 26\) mi, \(US = 17\) mi, \(TS = 31\) mi.

Step2: Match vertices

Vertex \(G\) corresponds to vertex \(S\) (both have \(57^{\circ}\) angle), vertex \(H\) corresponds to vertex \(T\) (both have \(33^{\circ}\) angle), vertex \(I\) corresponds to vertex \(U\) (both are right - angles).

Answer:

\(\triangle GHI\cong\triangle STU\)