https://file.aiquickdraw.com/mathbot/file/1726934606293lf2egmld.jpg

To find which diagram shows the reflection of shape \( S \) in the x-axis, let's review the concept of reflection across the x-axis.

When a shape is reflected across the x-axis:
1. The x-coordinates of all points remain the same.
2. The y-coordinates change their sign (positive becomes negative and vice versa).

Now, analyzing the given diagrams:
- In diagram A: The shape is located in the upper right quadrant. A reflection across the x-axis should move it to the lower right quadrant, but the shape remains in the same quadrant, so this is incorrect.
- In diagram B: The shape is located in the lower right quadrant, which matches the reflection pattern. Additionally, the structure of the shape matches the reflected version.
- In diagram C: The shape is located in the lower left quadrant, but this is a reflection in both axes (x and y), so this is incorrect.
- In diagram D: The shape is in the same upper right quadrant as the original, similar to diagram A, so this is also incorrect.

**Conclusion**: Diagram **B** correctly shows the reflection of shape \( S \) in the x-axis.

Would you like any additional details or explanations?

Here are some related questions for practice:
1. How would the shape look if reflected over the y-axis?
2. What happens to the coordinates of a point reflected over both axes?
3. How do you determine the center of rotation for a 90-degree rotation?
4. How can you algebraically represent a reflection across the x-axis?
5. What is the effect of reflecting a shape in the line \( y = x \)?

**Tip**: When reflecting shapes over axes, visualize how each point changes its position relative to the axis of reflection.

Work out which of these diagrams shows a reflection of shape S in the x-axis.

Identify which diagram shows the correct reflection of shape S in the x-axis. This problem covers key geometry concepts like reflections on the coordinate plane, suitable for students in Grades 6-8.

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