If `AB=QR`, `BC=PR` and `CA=PQ` then

Options

A. `Delta ABC cong Delta PQR`
B. `Delta CBA cong Delta PQR`
C. `Delta BAC cong Delta RPQ`
D. `Delta PQR cong Delta BCA`

Explanation

To solve the given problem, we need to analyze the information provided about the triangles and determine the relationship between them based on the given equalities.

### Step-by-Step Solution:

1. **Identify the Given Information:**
We are given that:
- \( AB = QR \)
- \( BC = PR \)
- \( CA = PQ \)

2. **Draw the Triangles:**
Let's represent the triangles visually:
- Triangle \( ABC \) with sides \( AB, BC, CA \)
- Triangle \( PQR \) with sides \( PQ, QR, PR \)

3. **Label the Corresponding Sides:**
Based on the given equalities, we can label the sides of the triangles as follows:
- Side \( AB \) corresponds to side \( QR \)
- Side \( BC \) corresponds to side \( PR \)
- Side \( CA \) corresponds to side \( PQ \)

4. **Apply the Side-Side-Side (SSS) Congruence Criterion:**
Since all three pairs of corresponding sides are equal:
- \( AB = QR \)
- \( BC = PR \)
- \( CA = PQ \)

By the SSS congruence criterion, we can conclude that triangle \( ABC \) is congruent to triangle \( PQR \).

5. **State the Conclusion:**
Therefore, we can say that triangle \( ABC \) is congruent to triangle \( PQR \).

### Final Statement:
The correct option is that triangle \( ABC \) is congruent to triangle \( PQR \).

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