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 _______.
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Answer: A
To find the correct unfolded pattern, we can trace the unfolding process step-by-step in reverse order:
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Final Folded State (Bottom-Right Quadrant):
- There are two punched holes: one near the vertical straight edge (the vertical diameter) and one near the outer curved boundary.
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First Unfold (Vertically Upwards):
- Unfolding the bottom-right quadrant upwards to form the right semicircle reflects both holes across the horizontal fold line.
- The hole near the vertical edge reflects to create a second hole near the vertical edge in the top-right quadrant.
- The hole near the curved boundary reflects to create a second hole near the curved boundary in the top-right quadrant.
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Second Unfold (Horizontally to the Left):
- Unfolding the right semicircle to the left to form the complete circle reflects all four holes across the vertical fold line.
- The two holes near the vertical axis reflect to the left side, resulting in a cluster of four central holes (two on the left, two on the right of the vertical axis).
- The two holes near the outer curved boundary reflect to the left, resulting in four outer holes (one in each of the four quadrants near the circumference).
This symmetric arrangement of eight holes matches the pattern shown in Option A.
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