Geometry

Question Analysis:
This question involves applying the SAS (Side-Angle-Side) congruence postulate.
The scenario describes two triangles having two corresponding sides congruent and the angle between those sides congruent.
The main focus is on recognizing the conditions of the SAS postulate and choosing the correct conclusion about the congruence of the triangles.

Key Concept Explanation:
The SAS postulate states that if two sides and the included angle (the angle between the two sides) of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Step-by-Step Solution:
Identify the elements in the problem: The question gives two sides and the included angle between those sides as congruent in both triangles.
Check the conditions of the SAS postulate: We are given two congruent sides and the included angle between them. This matches the SAS postulate.
Conclude: By the SAS postulate, the two triangles must be congruent.

Option Analysis:
A) SSA postulate: This is incorrect because SSA does not guarantee congruence. The side-angle-side configuration is required.
B) SAS postulate: Correct answer because the given conditions match the SAS postulate.
C) ASA postulate: This is incorrect because ASA deals with two angles and one side, not two sides and the included angle.