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The problem asks you to identify the congruent triangles by a triangle congruence statement. To do this, we need to compare the corresponding sides and angles in both triangles.

1. **Triangle on the left (ΔDGF):**
   - Two sides, \( DF \) and \( DG \), are marked as congruent with sides in the other triangle.
   - The included angle \( \angle D \) between them is also marked as congruent to an angle in the second triangle.

2. **Triangle on the right (ΔABC):**
   - The sides \( AB \) and \( AC \) are marked as congruent to sides in the left triangle.
   - The included angle \( \angle A \) is also marked.

Thus, by the **Side-Angle-Side (SAS)** congruence postulate, we can determine that the triangles are congruent.

Now, we match the corresponding vertices based on their congruent sides and angles:
- \( D \leftrightarrow A \) (because the included angles match),
- \( F \leftrightarrow C \),
- \( G \leftrightarrow B \).

So the correct congruence statement is:
\[
\triangle DFG \cong \triangle ACB
\]

Thus, the correct option is:
\[
\boxed{\triangle DFG \cong \triangle ACB}
\]

Would you like further details or have any questions?

Here are 5 related questions for more exploration:
1. What other triangle congruence postulates exist apart from SAS?
2. How can you prove congruence using the Angle-Side-Angle (ASA) method?
3. How do the congruent triangles apply in real-world applications like architecture?
4. What is the significance of the order of vertices in triangle congruence statements?
5. How does the Hypotenuse-Leg (HL) theorem apply in right triangle congruence?

**Tip:** Always ensure that the corresponding vertices match when writing congruence statements, as the order of letters is important!

Identify the congruent triangles by a triangle congruence statement.

Learn how to identify congruent triangles using the Side-Angle-Side (SAS) congruence postulate. This problem involves matching corresponding sides and angles in triangles DFG and ACB.

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