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2016 Math Kangaroo

Problem 1

Problem 1 · 2016 Math Kangaroo Easy
Spatial & Visual Reasoning symmetry

Which of the following road signs has the most axes of symmetry?

Figure for Math Kangaroo 2016 Problem 1
Show answer
Answer: C — The no-entry sign.
Show hints
Hint 1 of 3
Imagine folding each sign along a straight line so the two halves land exactly on top of each other.
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Hint 2 of 3
Try both a left-right fold and a top-bottom fold on every sign, then count how many folds work.
Still stuck? Show hint 3 →
Hint 3 of 3
A plain horizontal bar inside a circle matches itself for both folds.
Show solution
Approach: fold each sign and count the lines that match
  1. An axis of symmetry is a fold line where one half lands perfectly on the other half.
  2. The arrow signs match only one fold (or none, once an arrowhead points a direction), and the car shape matches just its up-down fold.
  3. The no-entry sign (a horizontal bar in a circle) matches a left-right fold AND a top-bottom fold, so it has 2 folds.
  4. Two is the most of any sign, so the answer is the no-entry sign, choice (C).
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