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The problem asks to select shapes that can be formed by a single reflection of shape \( X \).

**Solution:**

1. **Identify Shape \( X \)**: Shape \( X \) looks like an "L" flipped horizontally with a horizontal bar on the top and a vertical bar on the left.

2. **Reflection Options**:
   - A shape can be reflected vertically, horizontally, or along the diagonal lines.

3. **Analyze Each Shape**:
   - **Shape A**: Looks like a reflection over a vertical line. **(Match)**
   - **Shape B**: This shape is a vertical flip of shape \( X \). **(No Match)**
   - **Shape C**: Rotated but not reflected. **(No Match)**
   - **Shape D**: Similar to shape \( X \) but shifted. **(No Match)**
   - **Shape E**: A vertical reflection of shape \( X \). **(Match)**
   - **Shape F**: Similar to shape \( X \) but not a reflection. **(No Match)**
   - **Shape G**: Horizontal reflection of shape \( X \). **(Match)**
   - **Shape H**: Shape similar to shape \( X \) but flipped vertically. **(No Match)**

**Shapes that match with a single reflection of \( X \): A, E, and G.**

Would you like more details or have any questions?

### Follow-up Questions:
1. What types of reflections are possible in geometric transformations?
2. How does rotation differ from reflection in transformations?
3. What is the effect of reflecting a shape over a diagonal line?
4. How would shape \( X \) look if rotated by 90 degrees?
5. What methods can be used to distinguish between reflection and rotation?

**Tip:** When identifying reflections, look for mirror symmetry across a specific axis!

Select all of the shapes below that can be formed by a single reflection of shape X.

Learn how to identify shapes that can be formed by a single reflection of a given shape X. This problem covers geometric transformations, focusing on reflections. Suitable for students in Grades 6-8.

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