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You start with a flat square of paper, fold it one or more times, then punch a hole through it while folded. You then unfold the square of paper. Where do the holes appear when the paper is unfolded?

The problem you provided involves a square piece of paper that is folded multiple times, then punched with a hole, and finally unfolded to reveal where the holes appear. Let's analyze it step by step based on the image:

### Folding Process (Top Sequence):
1. The paper starts flat.
2. It is folded in half horizontally.
3. It is then folded diagonally from one corner.
4. Another fold brings a smaller portion of the paper together.
5. A hole is punched through the folded layers in the final step.

### Unfolding the Paper:
After punching a hole through the folded paper, when unfolded, the locations of the holes will be mirrored based on the folds. In each step, symmetry is introduced according to how the paper was folded. 

### Answer Selection:
- The correct answer will show the distribution of holes according to these multiple symmetry points.
- Based on the folding and symmetry, **Option 3** is the correct one. This shows a configuration where the holes mirror symmetrically in the pattern, matching how the paper was folded and unfolded.

Would you like further details on the symmetry, folding process, or another related topic?

### Follow-up Questions:
1. How does paper symmetry work when folding in different directions?
2. How would the hole distribution change with fewer folds?
3. Can you explain the process of mirror symmetry in geometric transformations?
4. How many holes would appear if the paper were folded in a different way, say three times?
5. How can we calculate the exact position of each hole based on the folds?

### Tip:
When analyzing problems involving folding and unfolding, it is helpful to think of each fold as a mirror line that reflects any holes or patterns across it.

Learn how to solve a folding paper symmetry puzzle, where a square sheet is folded, punched with holes, and then unfolded. Understand how symmetry and reflections work in geometric transformations. Suitable for students in Grades 5-8.

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