A square paper, shown in figure , is folded along the dotted lines as shown in the figures and . Then a few cuts are made as shown in figure . Which one of the following patterns will be obtained when the paper is unfolded?
Note: The figures shown are representative.
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Answer: A
To find the correct unfolded pattern, we can trace the unfolding process step-by-step starting from the final folded state in figure (IV):
- First Unfold (from IV to III):
The paper is unfolded along the altitude of the right-angled triangle.
- The triangular cut on the fold line (hypotenuse of the smaller triangle) reflects across this line to form a symmetric diamond/rhombus shape.
- The cuts along the outer edges reflect symmetrically to form complete shapes on the larger triangle.
- Second Unfold (from III to I):
The paper is unfolded along the main diagonal (from top-left to bottom-right) to restore the original square.
- All cuts on the bottom-left half reflect symmetrically across the diagonal axis to the top-right half.
- This creates a highly symmetric pattern of diamond and circular cutouts aligned along the diagonal and the center.
Matching these symmetric reflections with the given options, only Option A correctly represents the fully unfolded pattern with the correct orientation and symmetry of the cutouts.
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