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Given that triangles \( \triangle XYZ \) and \( \triangle MNL \) are congruent (\( \triangle XYZ \cong \triangle MNL \)), their corresponding sides and angles are equal. In congruent triangles, each corresponding pair of sides and angles is equal. From the diagram:

1. The side \( MN = 8 \) corresponds to side \( XY \).
2. Therefore, by the property of congruent triangles, we have:
   \[
   XY = MN = 8
   \]

So, the length of \( XY \) is **8**.

Would you like a more detailed explanation, or do you have any additional questions?

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Here are five related questions that build on this concept:

1. How do we identify corresponding sides and angles in congruent triangles?
2. What are the criteria for two triangles to be congruent?
3. If a different pair of triangles were similar but not congruent, how would we determine side lengths?
4. How do we use angles in congruent triangles to solve for missing angles?
5. What are some real-world applications of congruent triangles?

**Tip:** Remember, in congruent triangles, all corresponding sides and angles are equal, making it simpler to solve for unknowns.

In the congruent triangles \( \triangle XYZ \) and \( \triangle MNL \), determine the length of \( XY \).

Learn how to find the side length of \( XY \) in congruent triangles \( \triangle XYZ \) and \( \triangle MNL \). This problem covers the concept of congruent triangles and the property of equal corresponding side lengths. Suitable for students in Grades 8-10.

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