The sequence of folding a paper and the manner in which the folded paper is cut is shown in the following figures. How would this paper look when unfolded?
Correct Answer:
Step-by-step Explanation:
1. Understanding the Folding Sequence:
- First Fold: A rectangular sheet of paper is folded vertically from right to left in half. The active folded area is now the left half of the original sheet.
- Second Fold: The left half is folded horizontally from top to bottom in half.
- Resulting Layer: The final folded paper represents the bottom-left quadrant of the original sheet.
2. Analyzing the Cuts Made:
In the bottom-left quadrant, the following cuts are made:
- A diamond cut near the upper-left section.
- A circle cut near the middle-right section (close to the central vertical axis).
- Two parallel diagonal line cuts near the bottom section, slanting downwards to the right (\).
3. Step 1 - First Unfold (Vertically Upward):
Unfolding the bottom-left quadrant upwards creates a horizontal line reflection (mirror image) into the top-left quadrant:
- The diamond cut at the upper-left reflects to the lower-left section of the top-left quadrant.
- The circle cut reflects upwards near the top section of the top-left quadrant.
- The two diagonal line cuts at the bottom reflect to the top section of the top-left quadrant, and their slant flips to point upwards to the right (/ ).
4. Step 2 - Second Unfold (Horizontally Rightward):
Unfolding the entire left half to the right creates a vertical line reflection across the central vertical axis:
- The circles, which lie closer to the central axis, appear symmetrically aligned near the center vertical line on both top and bottom halves.
- The diamonds reflect to the outer right edges.
- The diagonal lines at the top-left (slanting / ) reflect to top-right slanting downwards (\ ).
- The diagonal lines at the bottom-left (slanting \ ) reflect to bottom-right slanting upwards (/ ).
Conclusion:
Comparing the unfolded image with the options, the resulting pattern matches the figure shown in the fourth option.
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