Question

complete the congruence statement.

△ghi≅△

Explanation:

Step1: Identify corresponding sides and angles

In \(\triangle GHI\), \(\angle G = 90^{\circ}\), \(\angle H=45^{\circ}\), \(\angle I = 45^{\circ}\). The sides with one mark are equal, and the sides with two marks are equal.
In \(\triangle TSU\), \(\angle S=90^{\circ}\), \(\angle T = 45^{\circ}\), \(\angle U=45^{\circ}\). The sides with one mark are equal, and the sides with two marks are equal.

Step2: Match vertices

Vertex \(G\) (right - angle vertex) corresponds to vertex \(S\) (right - angle vertex). Vertex \(H\) (with \(45^{\circ}\) angle) corresponds to vertex \(T\) (with \(45^{\circ}\) angle). Vertex \(I\) (with \(45^{\circ}\) angle) corresponds to vertex \(U\) (with \(45^{\circ}\) angle).

Answer:

\(\triangle GHI\cong\triangle SUT\)