The sequence of folding a piece of paper and the manner in which the folded paper has been cut is shown in the following figures. How would this paper look when unfolded?
The question presents a paper-folding and cutting problem. The image shows the steps involved: folding the paper twice and then making a cut. To determine the unfolded state, we must mentally reverse the folding process.
First, the paper is folded in half vertically. Then, it’s folded in half horizontally. A cut is made. Now, imagine unfolding it step-by-step:
- Unfold the second fold (horizontal): The cut, initially a single line, will now become two parallel lines.
- Unfold the first fold (vertical): These two parallel lines are now mirrored, resulting in a pattern of four parallel cuts across the paper.
Therefore, when fully unfolded, the paper will exhibit a pattern that aligns perfectly with option A. The other options do not accurately reflect the symmetrical nature of the cuts created by the folding and cutting process. Each fold duplicates the cut, and the unfolding reverses these duplications symmetrically, leading to option A's pattern.
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Important Questions from Paper Folding and Cutting
The sequence of folding a piece of paper and the manner in which the folded paper has been cut is shown in the following figures. How would this paper look when unfolded?
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