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To determine which two triangles are congruent, let’s examine the marked angles and sides in each triangle:

1. **Triangle \( \triangle JHI \)**:
   - Angle \( \angle J \) and \( \angle I \) are marked with specific measures.
   - The side \( \overline{JH} \) has a single line, indicating it’s congruent to a corresponding side in another triangle.

2. **Triangle \( \triangle DEF \)**:
   - Angle \( \angle D \) and \( \angle F \) have similar markings as in \( \triangle JHI \).
   - The side \( \overline{DF} \) has a single line as well, matching \( \overline{JH} \) in length.

3. **Triangle \( \triangle VUT \)**:
   - Angle \( \angle V \) and \( \angle U \) have different markings compared to the first two triangles.
   - Side \( \overline{VT} \) has a single line, but the angles do not match \( \triangle JHI \) or \( \triangle DEF \).

Since both \( \triangle JHI \) and \( \triangle DEF \) have matching angle and side markings, they are congruent by the **ASA (Angle-Side-Angle)** postulate. The congruence statement would be:

\[
\triangle JHI \cong \triangle DEF
\]

Would you like a detailed breakdown of each step or have additional questions?

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### Follow-Up Questions:
1. What are the different criteria for triangle congruence?
2. How does the ASA postulate ensure congruence between two triangles?
3. Why is side-angle-side (SAS) not applicable here?
4. How can we identify congruent triangles based on side lengths only?
5. How would the solution change if only two angles were marked in each triangle?

### Tip:
When checking for triangle congruence, look for matching angles and sides with the same markings to help identify possible congruent pairs.

Which two triangles are congruent? Complete the congruence statement.

Learn how to determine congruent triangles using the ASA (Angle-Side-Angle) congruence postulate. This example shows how to identify and complete a congruence statement based on matching angles and side lengths in triangles, suitable for students in Grades 8-10.

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