https://file.aiquickdraw.com/mathbot/file/1728437983135co9mfddx.jpg

A reflection, rotation, translation followed by reflection, rotation, translation.

Looking at the image, we can observe two figures, Figure V and Figure U, which are congruent to each other but located in different quadrants on the coordinate plane. Figure V is in the second quadrant, and Figure U is in the fourth quadrant.

### Step-by-step analysis:

1. **Figure V** in the second quadrant appears to be reflected and moved to the fourth quadrant to become **Figure U**.

2. To determine the transformation:
   - **Reflection**: A reflection across the x-axis would flip Figure V from the second quadrant to the third quadrant, but it needs to be in the fourth quadrant, so this reflection is followed by a shift.
   - **Translation**: A translation (shift) is applied after the reflection to move the figure horizontally into the correct position in the fourth quadrant. It appears to shift rightward from quadrant III to quadrant IV.

Thus, the transformation is **Reflection across the x-axis**, followed by a **Translation** along the x-axis to the right.

### Answer:
- **A reflection** followed by **a translation**.

Would you like further clarification on how reflections and translations work? Here are five related questions:

1. What is the rule for reflecting a figure across the x-axis?
2. How do you determine the translation vector for a figure on a coordinate plane?
3. What transformations can preserve the orientation of a shape?
4. What happens when you reflect a figure across both the x-axis and y-axis?
5. How can you combine multiple transformations to map one figure onto another?

**Tip**: When performing a reflection, remember that the coordinates of points on the figure change according to the axis being reflected across (x-axis or y-axis).

A reflection followed by a translation for mapping Figure V to Figure U on the coordinate plane.

Understand how to map Figure V to Figure U using reflection and translation on a coordinate plane. This problem demonstrates reflection across the x-axis followed by translation along the x-axis. Suitable for students in Grades 7-9.

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