In `triangle ABC and triangle PQR ` If AB = QP ,`angle B = angle P`, ` BC = PR ` then which one of the following congruence conditions applies :

Options

A. SAS
B. ASA
C. SSS
D. RHS

Answer

To determine which congruence condition applies to triangles ABC and PQR, we will analyze the given information step by step.

### Step-by-Step Solution:

1. **Identify the Given Information:**
- \( AB = QP \) (One pair of sides are equal)
- \( \angle B = \angle P \) (One pair of angles are equal)
- \( BC = PR \) (Another pair of sides are equal)

2. **Determine the Congruence Condition:**
- We have two sides of triangle ABC equal to two sides of triangle PQR and the included angle between those sides is also equal.
- The congruence condition that corresponds to this arrangement is known as the Side-Angle-Side (SAS) congruence condition.

3. **Conclusion:**
- Therefore, the congruence condition that applies to triangles ABC and PQR is SAS.

### Final Answer:
The congruence condition that applies is **SAS (Side-Angle-Side)**.