Geometry

Question Analysis:
This question evaluates understanding of the critical requirement of the included angle in SAS.

Key Concept Explanation:
SAS requires the angle to be between the two given sides.
SSA (Side-Side-Angle) is not a valid congruence rule (except in right triangles as HL).

Step-by-Step Solution:
Given:
Two sides (5 cm, 7 cm) and a 40° angle.
Problem:
The 40° angle could be included or non-included.
If non-included (SSA), the triangles may not be congruent.
Conclusion:
The student's claim is false unless the angle is included.

Option Analysis:
(A) Incorrect → Ignores angle posi...