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.