Question

A circular sheet of paper is folded along the lines in the directions shown. The paper, after being punched in the final folded state as shown and unfolded in the reverse order of folding, will look like \(\underline{\hspace{2cm}}\) 

• A. A
• B. B
• C. C
• D. D

Hint:

For paper-folding problems, always track how many times the paper is folded. Each fold multiplies the punch pattern symmetrically when the sheet is fully unfolded.

Answer 1

The Correct Option is A

To solve this problem, we need to visualize the process of unfolding a circular sheet of paper that has been folded and punched. Let’s go through the steps involved:

1. The circular sheet is folded along the marked lines, shown in the diagram. The folding process is done in several stages.
2. Once folded into its final state, specific shapes are punched through the layers of paper.
3. Next, we reverse the folding steps to unfold the paper back to the original circular shape. This will help us visualize the pattern created by the punches.
4. As we unfold the paper, each fold helps to distribute the punched shapes symmetrically around the circle.
5. The key is to recognize that punched shapes replicate symmetrically around the center due to the nature of the folds.

By referring to the provided options, examine each for symmetry and alignment with the punched patterns. We identify that:

• Option A: Displays a symmetric distribution of the punched shapes consistent with how the folds align and replicate when unfolding.
• Option B, C, and D: Do not maintain the correct symmetry or distribution pattern after the paper is unfolded.

Therefore, the correct answer is:

A