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To determine which postulate or theorem could be used to prove that triangles \( \triangle MNP \) and \( \triangle QRS \) are congruent, let's examine the diagram.

### Observations from the Diagram:
1. **Marked Sides**: Both triangles have one pair of sides marked as equal (\( MP = QR \) and \( NP = RS \)).
2. **Included Angle**: The angle between the two marked sides in each triangle appears to be congruent (i.e., \( \angle MNP \cong \angle QRS \)).

### Conclusion
Since we have two sides and the included angle marked as congruent, we can use the **SAS (Side-Angle-Side) Postulate** to conclude that \( \triangle MNP \cong \triangle QRS \).

### Answer
The correct answer is:
- **SAS postulate**

Would you like a more detailed explanation of the SAS postulate or have any additional questions?

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Here are 5 related questions for deeper understanding:
1. How does the SAS postulate differ from the ASA postulate?
2. Can triangles be congruent with only one pair of sides congruent?
3. What are other conditions under which two triangles can be proven congruent?
4. Why is it necessary to have the included angle in the SAS postulate?
5. How can congruent triangles be applied in real-world problems?

**Tip**: When proving triangles congruent, always look for pairs of congruent sides or angles and ensure they follow one of the congruence postulates (SAS, ASA, SSS, AAS).

Which postulate or theorem could you use to prove ΔMNP ≅ ΔQRS?

Discover how to use the SAS postulate to prove that triangles ΔMNP and ΔQRS are congruent. This geometry problem covers key triangle congruence concepts and is suitable for students in Grades 8-10.

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