https://file.aiquickdraw.com/mathbot/file/1738355729225nxti5nzt.jpg

The transformation shown in the image appears to be a reflection. To determine the correct reflection, let's analyze the coordinates:

1. The original shape (black) is reflected to the new shape (blue).
2. The transformation switches the signs of both x and y coordinates.
3. This corresponds to a reflection across the line **\( y = -x \)**, where the transformation rule is **\( (x, y) \rightarrow (-y, -x) \)**.

The correct answer is **C) reflection across \( y = -x \)**.

Would you like a step-by-step explanation of how to determine reflections?  

### Related Questions:
1. How do you determine the reflection of a point across a given line?
2. What are the general transformation rules for reflections?
3. How can you verify a transformation using coordinate pairs?
4. What is the difference between reflections across \( y = x \) and \( y = -x \)?
5. Can reflections be combined with other transformations like rotations?

### Tip:
To quickly check if a reflection is across \( y = x \) or \( y = -x \), swap the coordinates and observe the sign change.

Write a rule to describe the transformation.

Understand how to identify and describe reflections in coordinate geometry. This problem explores the transformation rule for reflecting a shape across the line y = -x, with a detailed step-by-step solution. Suitable for students in Grades 8-10.

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