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In the given image, two shapes are shown: one in black and another in blue, with the blue shape labeled as the transformed version of the black shape. To determine the correct rule for this transformation, we need to analyze the relationship between the two.

### Key Observations:
- The black shape is in the lower left quadrant, while the blue shape is in the upper right quadrant.
- The transformation appears to involve flipping the shape across a line of reflection.
- If we observe the points' corresponding coordinates, for example, point \( R \) maps to point \( R' \), and point \( A \) maps to point \( A' \), we see that their \( x \)-coordinates and \( y \)-coordinates are switched and negated.
  
This suggests that the transformation is a reflection over the line \( y = -x \).

### Correct Answer:
- **Reflection across \( y = -x \)**

Would you like further details on how reflections work or have any other questions?

Here are 5 related questions for you:
1. How do we identify the line of reflection in geometric transformations?
2. What are the general rules for reflecting a point across the line \( y = -x \)?
3. How would the transformation differ if it were reflected across \( y = x \) instead?
4. Can a combination of reflections be equivalent to a rotation?
5. How can you describe the transformation using coordinate notation?

**Tip:** Always check the coordinates of corresponding points after a transformation to ensure the correct rule is applied.

Write a rule to describe each transformation: Which type of reflection is applied to map the black figure onto the blue figure?

This problem involves identifying the correct reflection transformation in a geometric figure. The transformation in the image is a reflection across the line y = -x. Learn how to recognize and describe geometric reflections, suitable for students in Grades 7-10.

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