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2019 Math Kangaroo

Problem 20

Problem 20 · 2019 Math Kangaroo Stretch
Spatial & Visual Reasoning reflectionspatial-reasoning

Six paper strips are used to weave a pattern (see diagram). What do you see when you look at the pattern from behind?

Figure for Math Kangaroo 2019 Problem 20
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Answer: C
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Hint 1 of 2
Looking from behind flips the pattern left-to-right like a mirror.
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Hint 2 of 2
At every crossing, the strip that was on top from the front is underneath from the back.
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Approach: mirror the weave
  1. Viewing from behind reflects the whole pattern horizontally.
  2. It also swaps over and under at each crossing.
  3. Applying both changes to the woven pattern gives option C.
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