https://file.aiquickdraw.com/mathbot/file/1729194979576maxix5aw.jpg

The image shows two triangles, \( \triangle GHI \) and \( \triangle KJL \), with some information given visually, including side lengths marked as congruent. The task seems to be determining whether these two triangles are congruent, and if so, through which congruence theorem (e.g., SSS, SAS, ASA, etc.).

### Key observations:
1. **Side Markings**: 
   - \( \overline{GH} \cong \overline{KJ} \) (indicated by the same number of tick marks on these sides).
   - \( \overline{HI} \cong \overline{JL} \).
   - \( \overline{GI} \cong \overline{KL} \).

2. **Congruence Test**:
   Given the matching sides in both triangles, we can conclude that the triangles are congruent by the **SSS (Side-Side-Side) congruence theorem**, since all three sides of one triangle are congruent to the corresponding sides of the other triangle.

### Final Answer:
- **Congruent**: \( \triangle GHI \cong \triangle KJL \) by the **SSS** theorem.

Would you like further details, or do you have any additional questions?

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Here are 5 related questions to expand on this:
1. What are the properties of congruent triangles?
2. How would the reasoning change if only two sides and the included angle were congruent?
3. Can you explain the ASA (Angle-Side-Angle) congruence criterion?
4. What other information could be used to prove triangles are congruent?
5. How would the lack of side markings affect the conclusion?

**Tip**: Always check if corresponding parts (sides or angles) are given or can be deduced for triangle congruence proofs.

Determine if ΔGHI is congruent to ΔKJL, based on the given side markings.

Learn how to determine if two triangles, GHI and KJL, are congruent by using the SSS (Side-Side-Side) theorem. This geometric problem involves identifying corresponding sides and applying the congruence theorem.

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