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2010 Math Kangaroo

Problem 2

Problem 2 · 2010 Math Kangaroo Easy
Geometry & Measurement symmetry

How many lines of symmetry does this figure have?

Figure for Math Kangaroo 2010 Problem 2
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Answer: C — 2
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Hint 1 of 2
A line of symmetry folds the picture exactly onto itself.
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Hint 2 of 2
Test the vertical and horizontal mid-lines, then the diagonals.
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Approach: test each candidate mirror line
  1. The pattern of four identical shapes folds onto itself across the vertical mid-line and across the horizontal mid-line.
  2. The diagonals do not map it onto itself.
  3. So there are exactly 2 lines of symmetry.
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