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Let's go through each pair of triangles to determine whether they are congruent, and if so, by which congruence theorem (SSS, SAS, ASA, AAS, or HL).

1. **Pair 1:**
   - Two right angles and one pair of corresponding sides are marked as congruent.
   - **Conclusion:** Not enough information. We need more sides or angles.

2. **Pair 2:**
   - Two pairs of corresponding sides are marked as congruent.
   - **Conclusion:** Not enough information. We are missing either a third side or an angle.

3. **Pair 3:**
   - Two angles and the side between them (included side) are congruent.
   - **Conclusion:** **ASA** (Angle-Side-Angle), these triangles are congruent.

4. **Pair 4:**
   - All three sides are marked as congruent.
   - **Conclusion:** **SSS** (Side-Side-Side), these triangles are congruent.

5. **Pair 5:**
   - One right angle, one hypotenuse, and one leg are marked congruent.
   - **Conclusion:** **HL** (Hypotenuse-Leg), these triangles are congruent.

6. **Pair 6:**
   - Two sides are congruent, but no angles are marked.
   - **Conclusion:** Not enough information. We need an additional angle or side.

7. **Pair 7:**
   - Two sides and the angle between them (included angle) are congruent.
   - **Conclusion:** **SAS** (Side-Angle-Side), these triangles are congruent.

8. **Pair 8:**
   - All three sides are congruent.
   - **Conclusion:** **SSS** (Side-Side-Side), these triangles are congruent.

### Summary:
1. Not enough information.
2. Not enough information.
3. ASA (congruent).
4. SSS (congruent).
5. HL (congruent).
6. Not enough information.
7. SAS (congruent).
8. SSS (congruent).

Would you like to explore any of these in more detail? 

Here are 5 related questions to consider:
1. What is the difference between ASA and AAS in triangle congruence?
2. Why does the Hypotenuse-Leg (HL) theorem only apply to right triangles?
3. How can you determine congruence using the Side-Side-Angle (SSA) condition?
4. What are some practical applications of triangle congruence in real-world scenarios?
5. What is the importance of the included side or angle in the SAS and ASA theorems?

**Tip:** Always ensure the information for all three sides or two angles and a side is available when applying triangle congruence theorems.

Determine if the two triangles are congruent. If they are congruent, state the theorem or postulate that proves it (SSS, SAS, AAS, ASA, HL).

Learn how to determine whether triangles are congruent using the SSS, SAS, ASA, and HL theorems. This example covers various pairs of triangles with detailed explanations on congruence criteria. Suitable for students in Grades 7-10.

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