If `triangle PQR cong triangle LMN` then `NL =` _______

Options

A. `PQ`
B. `QR`
C. `RP`
D. None of these

Answer

To solve the problem, we will use the property of congruent triangles. Given that triangle PQR is congruent to triangle LMN, we can conclude that their corresponding sides and angles are equal.

### Step-by-Step Solution:

1. **Understand Congruence**: Since triangle PQR is congruent to triangle LMN (denoted as triangle PQR ≅ triangle LMN), we know that all corresponding sides and angles are equal.

2. **Identify Corresponding Parts**: The corresponding sides of the triangles are as follows:
- PQ corresponds to LM
- QR corresponds to MN
- PR corresponds to LN

3. **Determine the Required Length**: We need to find the length of NL. From the congruence, we know that:
- NL corresponds to PR (because they are the sides opposite to the same angles in their respective triangles).

4. **Apply CPCT**: By the property of congruent triangles, we can state:
- NL = PR (by CPCT - Corresponding Parts of Congruent Triangles).

5. **Conclusion**: Therefore, the length of NL is equal to the length of PR.

### Final Answer:
NL = PR

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