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The diagram shows two congruent triangles, one on the left and one on the right, both labeled with the same points \( A \), \( B \), and \( C \), but in different positions on the coordinate plane. To determine the type of rigid motion, we analyze how one triangle is moved to the other.

Looking closely at the coordinates:
- The left triangle has points \( A(-5, 7) \), \( B(-8, 6) \), and \( C(-3, 3) \).
- The right triangle has points \( A(5, 7) \), \( B(8, 6) \), and \( C(3, 3) \).

Since the triangles are reflected across the y-axis (notice how each x-coordinate changes sign while the y-coordinates remain the same), the rigid motion shown here is **Reflection**.

So, the correct answer is:

**(C) Reflection**

Would you like further details or explanations? Here are some related questions you can explore:

1. What is the formal definition of a reflection in geometry?
2. How do translations differ from reflections in terms of coordinate changes?
3. Can a rigid motion change the size or shape of a figure? Why or why not?
4. What is the difference between a rotation and a reflection in the coordinate plane?
5. How would you describe the reflection line for the triangles in this diagram?

**Tip:** When reflecting across the y-axis, only the signs of the x-coordinates change, while the y-coordinates remain the same.

This problem helps identify the type of rigid motion displayed in two congruent triangles positioned on a coordinate plane. Analyze the reflection across the y-axis by examining how x-coordinates change signs while y-coordinates stay the same. Suitable for students in Grades 7-9.

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