https://file.aiquickdraw.com/mathbot/file/1729271395084yqwp0rxm.jpg

The problem asks to determine which of the congruences between triangles is correct, keeping in mind that the order of vertices in congruence statements matters.

### Analysis of the diagram:
- Triangle \( \triangle LKJ \) (on the top) and triangle \( \triangle XJW \) (on the bottom) appear to have the following congruences:
    - \( LJ \cong XJ \) (matching side lengths)
    - \( JK \cong JW \) (matching side lengths)
    - \( \angle LJK \cong \angle XJW \) (matching angles)
    
The triangles share these corresponding congruences, and since the order of vertices matters, the correct triangle congruence must reflect the proper correspondence between angles and sides.

### Correct Answer:
- \( \triangle LJK \cong \triangle XJW \) is the correct congruence statement because:
  - \( L \leftrightarrow X \)
  - \( J \leftrightarrow J \) (common vertex)
  - \( K \leftrightarrow W \)

Thus, the correct answer is **\( \triangle LJK \cong \triangle XJW \)**.

Would you like a more detailed explanation or have any questions?

### Relative Questions:
1. How do you determine corresponding sides and angles in congruent triangles?
2. Why does the order of vertices matter in congruence statements?
3. What congruence criteria are used to prove triangles congruent?
4. How can you prove that two triangles are congruent using side-angle-side (SAS)?
5. What are the key differences between congruence and similarity in triangles?

### Tip:
Always double-check the order of vertices when writing congruence statements to ensure each side and angle corresponds correctly to the other triangle.

Remember order matters. Which of the following is true? (Related to triangle congruence in the provided diagram)

Explore triangle congruence in this geometry problem, where the order of vertices matters. Learn how to apply the Side-Angle-Side (SAS) criterion to determine if triangles LJK and XJW are congruent. Suitable for students in Grades 8-10.

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