To determine if the two triangles are congruent, let's analyze the image provided. The triangles have markings indicating that:

1. Two pairs of corresponding sides are congruent (marked by single and double tick marks).
2. The triangles share a common side, which would be congruent to itself.

Given these observations, we can conclude that the triangles are congruent by the Side-Angle-Side (SAS) postulate, as two pairs of corresponding sides and the included angle between them are congruent.

So, the correct answer is:

A) SAS

Would you like further explanation on the SAS postulate or other congruence criteria?

Related Questions:

1. How does the SAS postulate differ from other congruence criteria?
2. What other methods can prove triangle congruence if only sides or angles are given?
3. Can the ASA (Angle-Side-Angle) postulate be used if only one side is congruent?
4. How does congruence differ from similarity in triangles?
5. Why is the included angle necessary for the SAS postulate to apply?

Tip: Always look for congruence markings on triangles (side, angle, or both) to quickly determine applicable congruence criteria.