Question

which two triangles are congruent? complete the congruence statement.

Explanation:

Step1: Analyze triangle \( \triangle TSU \) and \( \triangle EGF \)

• In \( \triangle TSU \), we have two sides and the included angle (by the markings).
• In \( \triangle EGF \), we also have two sides and the included angle (by the markings).
• By the Side - Angle - Side (SAS) congruence criterion.

Step2: Match the vertices

• The side with one mark in \( \triangle TSU \) corresponds to the side with one mark in \( \triangle EGF \).
• The side with three marks in \( \triangle TSU \) corresponds to the side with three marks in \( \triangle EGF \).
• The marked angle in \( \triangle TSU \) corresponds to the marked angle in \( \triangle EGF \).

Answer:

\( \triangle TSU\cong\triangle EGF \)