Geometry

Question Analysis:
This question tests triangle congruence, similarity, and geometric properties of congruent triangles.
The key is understanding that when all corresponding sides and angles match, the triangles are congruent, not just similar.

Key Concept Explanation:
Congruence (≅) means all corresponding sides and angles are equal.
Similarity (∼) only requires equal angles but allows different side lengths (proportionality).
Equal perimeters and areas are guaranteed for congruent triangles but not necessarily for similar triangles.

Step-by-Step Solution:
Given that all three sides and all three angles are equal, we conclude △ABC ≅ △DEF → ✅ A is correct.
Congruent triangles are also similar, but similarity alone does not imply congruence. Since we already established congruence, the answer is not just similarity → ❌ B is incorrect.
Since corresponding sides are equal, the perimeters must be equal → ✅ C is correct.
Congruent triangles have identical dimensions, so their areas must also be equal → ✅ D is correct.
Orientation can be different if one triangle is a reflection of the other → ❌ E is incorrect.

Common Mis...