ASA ≅

SAS ≅

AAS ≅

SSS ≅

cannot be proved congruent (just to make sure, is the answer correct considering these choices?)

Considering the choices provided:

- **ASA (Angle-Side-Angle) ≅**: This requires two angles and the included side of one triangle to be congruent to the corresponding parts of another triangle.
- **SAS (Side-Angle-Side) ≅**: This requires two sides and the included angle of one triangle to be congruent to the corresponding parts of another triangle.
- **AAS (Angle-Angle-Side) ≅**: This requires two angles and a non-included side of one triangle to be congruent to the corresponding parts of another triangle.
- **SSS (Side-Side-Side) ≅**: This requires all three sides of one triangle to be congruent to the corresponding sides of another triangle.

Given the diagram and the markings, **SAS (Side-Angle-Side) ≅** is the correct choice. The two sides and the included angle of one triangle are congruent to the corresponding sides and included angle of the other triangle.

So, the correct answer is **SAS ≅**.

Would you like more details or have any other questions?

Here are 5 related questions:
1. How do you identify the included angle in the SAS postulate?
2. What is the difference between ASA and AAS congruence criteria?
3. Can SSA (Side-Side-Angle) be used to prove congruence? Why or why not?
4. How do you apply the SSS postulate to prove triangle congruence?
5. What is the significance of congruent triangles in geometry?

**Tip:** When determining congruence, carefully observe the markings for sides and angles to select the correct congruence postulate.

Explore the concepts of triangle congruence with ASA, SAS, AAS, and SSS postulates. Learn how to determine triangle congruence based on angle and side relationships. Detailed explanation and examples provided.

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