https://file.aiquickdraw.com/mathbot/file/1727321841103c099i7q1.jpg

To solve this problem, we need to identify the line of reflection that maps rhombus PQRS onto rhombus JKLM.

Let's analyze the options given:

1. **y = 1**: This is a horizontal line at \( y = 1 \).
2. **x = 1**: This is a vertical line at \( x = 1 \).
3. **y = x**: This is a diagonal line passing through points where \( y = x \).
4. **y-axis**: This is the vertical line \( x = 0 \).

### Observing the rhombi:
- Rhombus PQRS and rhombus JKLM appear to be symmetric across a line.
- Both rhombi seem to be reflected over a diagonal line based on their relative positions.

### Verifying the reflection line:
Since both rhombi are mirrored diagonally, the line of reflection is likely to be the line **y = x**, which reflects points along this diagonal line.

Thus, the correct line of reflection is **y = x**.

Would you like a more detailed explanation of reflections or transformations? 

Here are some follow-up questions to explore this topic further:

1. What properties of a rhombus remain unchanged after a reflection?
2. How do you determine the line of reflection for two given shapes?
3. What is the effect of reflecting a point across the line \( y = x \)?
4. Can a shape be mapped onto itself through reflection? If yes, under what conditions?
5. How can you identify symmetry in geometric figures using coordinate geometry?

**Tip:** Reflections over diagonal lines like \( y = x \) switch the coordinates of any point, transforming \( (x, y) \) into \( (y, x) \).

Identify the line of reflection that maps rhombus PQRS into rhombus JKLM.

Learn how to identify the line of reflection that maps rhombus PQRS into rhombus JKLM. This geometry problem involves reflections over the line y = x and covers concepts in symmetry and coordinate transformations. Suitable for students in Grades 7-9.

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