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2016 Math Kangaroo

Problem 2

Problem 2 · 2016 Math Kangaroo Easy
Spatial & Visual Reasoning symmetryreflection
Figure for Math Kangaroo 2016 Problem 2
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Answer: A — Sign A
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Hint 1 of 2
For each sign, count how many mirror lines fold the picture exactly onto itself.
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Hint 2 of 2
A round X-cross folds along four lines, more than a triangle or an arrowed circle.
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Approach: count the mirror lines of each sign
  1. Check each sign for fold lines: the yield triangle (C) has 3, the dead-end sign (E) has 1, and the roundabout arrows (D) and priority sign (B) have none.
  2. The round no-stopping sign (A) is a circle with an X-cross, and an X folds onto itself along 4 lines (two diagonals plus the horizontal and vertical).
  3. With 4 axes, sign (A) has the most.
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