Question

1. write a congruence statement for the pair of triangles

△tuw≅△uvw

△tuw≅△wvu

△tuw≅△vwu

△tuw≅△vuw

Explanation:

Step1: Identify corresponding vertices

In congruent - triangle statements, vertices must be in corresponding order. Looking at the triangles $\triangle TUW$ and the other triangle formed, we can see that $\angle TUW$ and $\angle VUW$ are right - angles (marked with the right - angle symbol), $UW$ is a common side, and $\angle T$ and $\angle V$ are non - right angles of the right - triangles. The corresponding vertices of $\triangle TUW$ and the other triangle are: $T$ corresponds to $V$, $U$ corresponds to $U$, and $W$ corresponds to $W$.

Step2: Write the congruence statement

The correct congruence statement should have the vertices in the correct corresponding order. So, $\triangle TUW\cong\triangle VUW$.

Answer:

$\triangle TUW\cong\triangle VUW$