Geometry

Question Analysis:
This question tests fundamental properties of congruent triangles and whether orientation affects congruence.

Key Concept Explanation:
Congruent triangles have all corresponding sides and angles equal.
Their perimeters and areas must be equal because they are identical in shape and size.
Orientation can be different if one triangle is a reflection of the other.

Step-by-Step Solution:
Corresponding angles are always equal → ✅ (A) is correct.
Perimeter is the sum of all sides, which must be equal → ✅ (B) is correct.
Equal sides and equal height ensure equal area → ✅ (C) is correct.
Congruent triangles can have different orientations due to reflections → ❌ (D) is incorrect.
Corresponding sides are always equal → ✅ (E) is correct.

Common Mistakes:
Selecting D (orientation) without considering reflections.
Thinking equal area implies congruence (it does not, but congruence always im...