Geometry

Question Analysis:
This question tests understanding of triangle congruency through the Side-Side-Side (SSS) postulate and whether the order of side lengths affects congruency.

Key Concept Explanation:
SSS Congruency Postulate: If all three sides of one triangle are equal to the corresponding sides of another triangle, the triangles are congruent.
Order of Sides: The sequence in which sides are listed does not matter as long as the lengths match.

Step-by-Step Solution:
Compare Side Lengths:
Triangle 1: 4 cm, 5 cm, 6 cm
Triangle 2: 5 cm, 4 cm, 6 cm
Both triangles have sides of 4 cm, 5 cm, and 6 cm, regardless of order.

SSS Congruency:
All corresponding sides are equal:
4 cm ↔ 4 cm
5 cm ↔ 5 cm
6 cm ↔ 6 cm
Therefore, the triangles are congruent by SSS.

Why Other Options Are Incorrect:
B: Incorrect. Order of sides does not matter for congruency; only lengths do.
C: Incorrect. SAS requires an included angle, w...