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2024 Math Kangaroo

Problem 6

Problem 6 · 2024 Math Kangaroo Medium
Geometry & Measurement foldingreflectionsymmetry
Figure for Math Kangaroo 2024 Problem 6
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Answer: C
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Hint 1 of 2
The paper is transparent, so after folding you see both the original marks and their mirror images together.
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Hint 2 of 2
Reflect the holes and lines across the dashed fold line and overlay them on the side that stays put.
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Approach: reflect across the fold and overlay
  1. Folding along the dashed line lays one half onto the other; since the paper is see-through, each mark and its mirror image both show.
  2. Reflect the holes and the zig-zag line across the fold line and combine them with the marks already there.
  3. The resulting pattern of holes and lines matches choice C.
  4. So the folded paper looks like C.
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