Classify the following statements as 'true' or 'false' `:`
Congurent triangle are also similar .

Answer

To classify the statement "Congruent triangles are also similar" as true or false, we can follow these steps:

1. **Understand the Definitions**:
- **Congruent Triangles**: Two triangles are congruent if they have exactly the same size and shape. This means that all corresponding sides and angles are equal.
- **Similar Triangles**: Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion. This means that the triangles can be of different sizes but have the same shape.

2. **Analyze the Statement**:
- The statement claims that if two triangles are congruent, then they are also similar.

3. **Check the Conditions**:
- Since congruent triangles have all corresponding angles equal (because their sides are equal), they automatically satisfy the condition for similarity (which only requires that corresponding angles are equal).

4. **Conclusion**:
- Therefore, if two triangles are congruent, they must also be similar because they have equal angles and proportional sides (which in this case are equal).

5. **Final Classification**:
- The statement "Congruent triangles are also similar" is **True**.