https://file.aiquickdraw.com/mathbot/file/17262663219375a10kknu.jpg

The problem asks to identify the transformation that turns Figure \( P \) into Figure \( Q \).

### Analysis:

- Figure \( P \) is located in the second quadrant, and Figure \( Q \) is located in the third quadrant.
- Both figures have the same size and orientation but are positioned differently on the coordinate plane.

By visual inspection, it seems that Figure \( P \) was reflected across the **x-axis**. This reflection brings Figure \( P \) down into the third quadrant, matching the position of Figure \( Q \). The orientation of the vertices remains consistent, which confirms a reflection, not a rotation or translation.

### Conclusion:
The transformation is a **reflection over the x-axis**.

Would you like further details or have any questions?

Here are 5 related questions for deeper understanding:
1. How does a reflection over the y-axis differ from a reflection over the x-axis in terms of transformation results?
2. What other transformations could lead to a similar result?
3. What happens to the coordinates of a point when it is reflected over the x-axis?
4. How would you describe a translation in mathematical terms?
5. Can a reflection and a translation achieve the same result? Why or why not?

**Tip**: When identifying transformations, pay attention to how coordinates of key points change after the transformation!

Figure Q is the result of a transformation on Figure P. Which transformation would accomplish this?

Learn how to determine the transformation that turns Figure P into Figure Q on a coordinate plane. This problem focuses on reflections and transformations, suitable for students in Grades 6-8.

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