Assertion: In triangles ABC and PQR, `angleA= angleP, angleC= angleR and AC=PR`. The two triangles are congruent by ASA congruence.
Reason : If two angles and included side of a triangle are equal to the corresponding angles and side of the other triangle then the triangles are congruent by ASA congruence criteria.
(a) Assertion and reason both are correct and reason is the correct explanation for the assertion.
(b) Assertion and reason both are correct and reason is not the correct explanation for the assertion.
(c) Assertion is correct but reason is wrong.
(d) Reason is correct but assertion is wrong.

Answer

To solve the given question, we need to analyze the assertion and the reason provided.

**Assertion:**
In triangles ABC and PQR, angle A = angle P, angle C = angle R, and AC = PR. The two triangles are congruent by ASA congruence.

**Reason:**
If two angles and the included side of a triangle are equal to the corresponding angles and side of the other triangle, then the triangles are congruent by ASA congruence criteria.

### Step-by-Step Solution:

1. **Identify the Given Information:**
- We have two triangles: ABC and PQR.
- We know that:
- Angle A = Angle P
- Angle C = Angle R
- Side AC = Side PR

2. **Apply the ASA Congruence Criterion:**
- The ASA (Angle-Side-Angle) congruence criterion states that if two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, then the two triangles are congruent.
- In our case:
- We have two angles (Angle A and Angle C) in triangle ABC that are equal to two angles (Angle P and Angle R) in triangle PQR.
- The side AC, which is between Angle A and Angle C, is equal to side PR, which is between Angle P and Angle R.

3. **Conclusion:**
- Since we have satisfied the conditions of the ASA criterion, we can conclude that triangle ABC is congruent to triangle PQR.
- Therefore, the assertion is correct.

4. **Evaluate the Reason:**
- The reason provided is a correct statement about the ASA congruence criterion.
- It accurately explains why the assertion is true.

5. **Final Answer:**
- Since both the assertion and the reason are correct and the reason correctly explains the assertion, the correct option is:
**(a) Assertion and reason both are correct and reason is the correct explanation for the assertion.**