Question

1. write a congruence statement for the pair of triangles shown.

△uts≅△rts
△uts≅△srt
△uts≅△str
△uts≅△rst

Explanation:

Step1: Identify corresponding vertices

In congruent triangles, vertices are matched in order. Looking at the triangles, we need to match the vertices of \(\triangle UTS\) and the other triangle.

Step2: Check the order of vertices

For \(\triangle UTS\), when looking at the congruent triangle, the vertices should be in the order \(R\), \(S\), \(T\) to match the angles and sides (as indicated by the markings for equal angles and sides in the figure). So the congruence statement is \(\triangle UTS\cong\triangle RST\)

Answer:

\(\triangle UTS\cong\triangle RST\) (the fourth option)