In this puzzle, we are asked to identify which shapes from the list can be formed by a single reflection of shape X.

Let's analyze the reflection options:

1. Horizontal Reflection: A reflection across the vertical axis (left-right flip).
2. Vertical Reflection: A reflection across the horizontal axis (top-bottom flip).

Step-by-step analysis:

• Shape X is an L-shaped figure with a right angle facing downward and to the right.

Shapes that match through reflections:

• A: This is the result of a vertical reflection (top-bottom flip) of X.
• B: This is not a valid reflection of X.
• C: This is a result of a horizontal reflection (left-right flip).
• D: This is not a valid reflection of X.
• E: This is not a valid reflection of X.
• F: This is a result of a horizontal reflection and a 90-degree rotation of X.
• G: This is not a valid reflection of X.
• H: This is not a valid reflection of X.

Conclusion:

The shapes that can be formed by a single reflection of shape X are A, C, and F.

Would you like more details or explanations on any of these reflections? Here are five follow-up questions related to this topic:

1. What other transformations besides reflections could we apply to shape X?
2. How can we mathematically describe reflection transformations?
3. Can you explain the difference between reflection and rotation?
4. What would happen if we performed multiple reflections on shape X?
5. How can symmetry be used to predict transformations of geometric shapes?

Tip: When reflecting shapes, always identify the axis of reflection (horizontal, vertical, or diagonal) to understand how the shape will flip.