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2010 Math Kangaroo

Problem 15

Problem 15 · 2010 Math Kangaroo Medium
Spatial & Visual Reasoning transformations

Andrea wraps a band around a piece of wood. She then turns the wood around as shown in the picture. What does the wood look like now?

Figure for Math Kangaroo 2010 Problem 15
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Answer: B
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Hint 1 of 2
Turning the wood end-over-end reflects the band pattern.
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Hint 2 of 2
Track where each strand of the band ends up after the flip and match a picture.
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Approach: apply the turn to the band, match the view
  1. Rotating the cylinder as shown flips the wrapped band's slant and its front/back.
  2. Carrying every strand through that turn reproduces the view in option B.
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