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A square paper is folded along the dotted lines as shown in standard paper folding puzzles. It is first folded in half, then folded in half again to form a smaller square. Then a few symmetrical cuts are made in the folded state. Which one of the following patterns will be obtained when the paper is unfolded?

  1. A
    Pattern A (Symmetrical across both horizontal and vertical axes, reflecting the cuts made in the folded quadrant)
  2. B
    Pattern B (Asymmetrical distribution of cuts)
  3. C
    Pattern C (Cuts only appear on the outer edges, none in the center)
  4. D
    Pattern D (Cuts are rotated by 45 degrees relative to the original folds)

Solution & Step-by-step Explanation

When a square paper is folded in half twice (e.g., top-to-bottom, then left-to-right), it forms a quadrant that represents one-fourth of the original paper.Any cut made into this folded quadrant will be mirrored horizontally and vertically when the paper is fully unfolded.Therefore, the final unfolded paper must exhibit both horizontal and vertical lines of symmetry.Pattern A is the only option that correctly applies this four-fold radial/axial symmetry from the center out.

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Try it yourself before checking the explanation above.

A square paper is folded along the dotted lines as shown in standard paper folding puzzles. It is first folded in half, then folded in half again to form a smaller square. Then a few symmetrical cuts are made in the folded state. Which one of the following patterns will be obtained when the paper is unfolded?
A
Pattern A (Symmetrical across both horizontal and vertical axes, reflecting the cuts made in the folded quadrant)
B
Pattern B (Asymmetrical distribution of cuts)
C
Pattern C (Cuts only appear on the outer edges, none in the center)
D
Pattern D (Cuts are rotated by 45 degrees relative to the original folds)

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