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2018 Math Kangaroo

Problem 12

Problem 12 · 2018 Math Kangaroo Medium
Spatial & Visual Reasoning reflectiontransformations

The two colours of this picture are swapped. Then the picture is turned. Which of the pictures below is obtained?

Figure for Math Kangaroo 2018 Problem 12
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Answer: E
Show hints
Hint 1 of 2
Do it in two steps: first make every black part white and every white part black, then turn the whole picture.
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Hint 2 of 2
Pick one easy-to-spot part, swap its colour, and follow where it goes when the picture is turned.
Show solution
Approach: swap the two colours first, then turn the picture, following one landmark part
  1. Swap the colours: everything that was black becomes white and everything white becomes black.
  2. Now turn that swapped picture and follow one easy landmark to see where it ends up.
  3. The picture that matches after both steps is E.
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