Question

write a congruence statement to show that the two triangles are congruent. △ust≅△tul △sut≅△tul △tus≅△ult △uts≅△tul

Explanation:

Step1: Identify corresponding angles and sides

In congruent triangles, corresponding angles and sides are equal. From the figure, we can see that:

• \( \angle SUT\) corresponds to \( \angle TUL\) (marked as equal angles)
• \( \angle UST\) corresponds to \( \angle TUL\) (marked as equal angles)
• \( SU\) corresponds to \( TU\) (marked as equal sides)
• \( UT\) is common side

Step2: Write congruence statement

Based on the above correspondences, the congruence statement is \( \triangle SUT\cong\triangle TUL\)

Answer:

\( \triangle SUT\cong\triangle TUL\)