Problem 6 · 2018 Math Kangaroo
Easy
Spatial & Visual Reasoning
paper-cuttingfoldingreflection
Lucy folds a piece of paper exactly in half and then cuts out a figure (see picture). Then she unfolds the paper again. Which of the five pictures can she see?
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Answer: D
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Hint 1 of 2
Whatever is cut on the folded side gets copied onto the other side when the paper opens.
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Hint 2 of 2
So the opened picture must look the same on both sides of the fold line, like a butterfly.
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Approach: open the fold by copying the cut shape to a matching shape on the other side of the crease
- When the folded paper is cut and then opened, the cut shape appears twice — once on each side of the fold line.
- The two sides are mirror copies that touch along the crease, like a butterfly's wings.
- Only picture D has that matching mirror shape, so the answer is D.
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