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2021 Math Kangaroo

Problem 1

Problem 1 · 2021 Math Kangaroo Easy
Spatial & Visual Reasoning symmetryreflection
Figure for Math Kangaroo 2021 Problem 1
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Answer: A — Sagittarius.
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Hint 1 of 2
A figure has an axis of symmetry if you can fold it along some line and the two halves land exactly on each other.
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Hint 2 of 2
Test each symbol for a mirror line — several of these signs only have rotational (point) symmetry, which is not the same thing.
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Approach: check each symbol for a mirror line
  1. Try to find a straight line that splits a symbol into two mirror-image halves.
  2. Symbols like the Cancer sign repeat under a half-turn but have no mirror line.
  3. Only the Sagittarius symbol can be folded along a line so the halves match.
  4. So the answer is A.
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