Problem 3 · 2022 Math Kangaroo
Easy
Spatial & Visual Reasoning
paper-cuttingsymmetry
Anna cuts the picture of a mushroom in two halves (straight down the middle). She then arranges the two pieces together to form a new picture. What could this new picture look like?
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Answer: E
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Hint 1 of 2
The dashed line cuts the mushroom straight down the middle, so each piece is exactly one half.
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Hint 2 of 2
When you slide the two halves back together, they must add up to exactly one whole cap and one whole stem - no extra pieces, none missing.
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Approach: the two halves must add back up to one whole mushroom's worth
- Cutting down the middle gives a left half and a right half, each with half a cap and half a stem.
- No matter how Anna turns or slides them, the two pieces together still hold exactly one full cap's worth of brown and one full stem's worth of grey.
- Only picture E is made from exactly those two matching halves, so the answer is E.
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