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The problem asks for the corresponding parts of two congruent quadrilaterals, \(DEFC \cong KLMN\). When two polygons are congruent, their corresponding sides and angles are equal.

Given \(DEFC \cong KLMN\), the order of the letters tells us which parts correspond to each other:

- \(D \leftrightarrow K\)
- \(E \leftrightarrow L\)
- \(F \leftrightarrow M\)
- \(C \leftrightarrow N\)

Now, let's review the options provided:

1. **\(EF \cong LM\)**:  
   \(E\) corresponds to \(L\), and \(F\) corresponds to \(M\), so this statement is correct.

2. **\( \angle D \cong \angle M \)**:  
   \(D\) corresponds to \(K\) and \(M\) corresponds to \(F\), so this statement is incorrect.

3. **\(ED \cong LK\)**:  
   \(E\) corresponds to \(L\) and \(D\) corresponds to \(K\), so this statement is correct.

4. **\( \angle D \cong \angle K \)**:  
   \(D\) corresponds to \(K\), so this statement is correct.

The correct answers would be:

- \(EF \cong LM\)
- \(ED \cong LK\)
- \( \angle D \cong \angle K \)

Would you like more details on this problem or have any other questions? Here are some related questions for further practice:

1. What is the definition of congruent polygons?
2. How do you determine the corresponding parts of congruent figures?
3. What is the significance of the order of vertices in congruence statements?
4. Can two polygons be congruent if their corresponding angles are not equal?
5. How can you prove two triangles are congruent?

**Tip:** When working with congruent figures, always pay attention to the order of vertices in the congruence statement, as it directly tells you which parts correspond to each other.

If DEFC ≅ KLMN, what are the corresponding parts?

Learn how to identify corresponding parts in congruent quadrilaterals using the congruence statement DEFC ≅ KLMN. Understand the key concept of corresponding parts of congruent figures and apply it to find congruent sides and angles. Suitable for Grade 8 students.

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