To solve this reflection problem, we need to determine which shapes can be obtained by reflecting the original shape "X" over a line.

The shape "X" is an "F" shape, and we can reflect it in two ways:

1. Reflection over a vertical line (left-right flip).
2. Reflection over a horizontal line (top-bottom flip).

Let's analyze each shape:

• Shape A: This is the mirror image of "X" when reflected over a vertical line (left-right flip).
• Shape B: This is not a reflection; it has undergone both reflection and rotation.
• Shape C: This is a reflection over a horizontal line (top-bottom flip).
• Shape D: This is neither a pure reflection nor rotation of "X".
• Shape E: This does not match any reflection of "X".
• Shape F: This is a combination of reflection and rotation, so it is not valid.
• Shape G: This does not match any reflection of "X".
• Shape H: This is also a reflection over a vertical line (left-right flip).

Conclusion:

The shapes that can be formed by a single reflection of shape "X" are:

• A (vertical reflection)
• C (horizontal reflection)
• H (vertical reflection)

Would you like further explanation or have any questions?

Here are 5 related questions for deeper understanding:

1. What is the difference between reflection and rotation in geometric transformations?
2. How do you determine the axis of reflection for different shapes?
3. Can every shape be reflected to obtain a congruent figure? Why or why not?
4. How would multiple reflections (over different axes) affect a shape like "X"?
5. What role do symmetry and congruence play in reflection problems?

Tip: Always visualize or sketch the reflection to avoid confusion, especially when dealing with complex shapes.