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The question asks why the two triangles shown in the diagram are congruent and to give the congruence statement, listing the corresponding parts of the triangles that are congruent. The diagram shows two triangles, \( \triangle DEF \) and \( \triangle LJK \), which are mirror images of each other with shared side lengths and angles.

To analyze the congruence:

### 1. Angle \( \angle D \cong \angle L \)
Both triangles share the same top angles \( \angle D \) and \( \angle L \), indicated by identical markings. 

### 2. Side \( DE \cong LJ \)
The marked lines on the sides \( DE \) and \( LJ \) indicate that these sides are congruent.

### 3. Angle \( \angle E \cong \angle J \)
Similarly, angles \( \angle E \) and \( \angle J \) are congruent, as shown by the markings.

This means we have two congruent angles and the included side congruent between the two triangles, leading to the use of the **ASA (Angle-Side-Angle)** postulate for congruence.

Thus, the correct answer is **B**: The two triangles are congruent because of the Angle-Side-Angle (ASA) postulate.

### Congruence Statement:
\[ \triangle DEF \cong \triangle LJK \]

### Corresponding Parts:
1. \( \angle D \cong \angle L \)
2. \( \angle E \cong \angle J \)
3. \( DE \cong LJ \)

Would you like further details or explanations on this topic?

### Relative Questions:
1. What is the difference between ASA and AAS congruence postulates?
2. How does the SAS postulate differ from the ASA postulate?
3. What are other methods of proving triangle congruence?
4. Can you prove triangle congruence without knowing the length of sides?
5. What happens if the given angles or sides are not congruent?

### Tip:
When proving triangle congruence, always check if the marked angles or sides align with the specific postulate or theorem like ASA, SSS, SAS, or AAS.

Tell why the two triangles are congruent. Give the congruence statement. Then list all other corresponding parts of the triangles that are congruent.

Discover how to prove triangle congruence between triangles DEF and LJK using the Angle-Side-Angle (ASA) postulate. This problem demonstrates the congruent angles and side, with a full explanation suitable for students in Grades 7-10.

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