In this question, we are asked to identify the two congruent triangles and complete the congruence statement.

To determine which triangles are congruent, let's examine the triangles’ sides and angles:

1. Triangle TRS has two sides marked as congruent and one angle marked with a congruent symbol.
2. Triangle EFG also has the same markings in corresponding locations.
3. Triangle ZXY does not have markings that correspond to either of the first two triangles.

From these markings, Triangle TRS is congruent to Triangle EFG. They both share two equal sides and an included angle in the same relative positions, which aligns with the SAS (Side-Angle-Side) congruence theorem.

Answer:

The congruent statement should be completed as: $\triangle TRS \cong \triangle EFG$

Would you like further details on congruence theorems or any related topic?

Related Questions

1. What is the SAS (Side-Angle-Side) congruence theorem?
2. How do you identify congruent triangles based on side and angle markings?
3. What is the difference between SAS and ASA congruence theorems?
4. Can two triangles be congruent if they have the same angles but different side lengths?
5. How is triangle congruence used in real-world applications?

Tip

When identifying congruent triangles, always compare the relative positions of angles and sides, not just the markings, to ensure they match correctly.