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?
- AFigure 1
- BFigure 2
- CFigure 3
- DFigure 4
Solution & Step-by-step Explanation
Let's unfold the paper step-by-step to find the final pattern:
1. Unfold Vertically (from bottom to top across the horizontal fold line):
* The cuts in the bottom-right quadrant will reflect symmetrically into the top-right quadrant.
* The circle and diamond will reflect upwards into the top-right quadrant.
* The two parallel slanted lines at the bottom (slanted up-right) will reflect vertically to become slanted down-right near the top edge.
2. Unfold Horizontally (from right to left across the vertical fold line):
* The entire pattern on the right half will reflect symmetrically onto the left half.
* The pairs of slanted lines at the outer corners will face each other symmetrically at both the top and bottom corners, creating a symmetric chevron-like layout.
* The circles and diamonds will replicate symmetrically on the left side of the vertical axis.
This exact layout is perfectly represented in Figure 4.
1. Unfold Vertically (from bottom to top across the horizontal fold line):
* The cuts in the bottom-right quadrant will reflect symmetrically into the top-right quadrant.
* The circle and diamond will reflect upwards into the top-right quadrant.
* The two parallel slanted lines at the bottom (slanted up-right) will reflect vertically to become slanted down-right near the top edge.
2. Unfold Horizontally (from right to left across the vertical fold line):
* The entire pattern on the right half will reflect symmetrically onto the left half.
* The pairs of slanted lines at the outer corners will face each other symmetrically at both the top and bottom corners, creating a symmetric chevron-like layout.
* The circles and diamonds will replicate symmetrically on the left side of the vertical axis.
This exact layout is perfectly represented in Figure 4.