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2013 Math Kangaroo

Problem 9

Problem 9 · 2013 Math Kangaroo Medium
Spatial & Visual Reasoning transformationsreflection
Figure for Math Kangaroo 2013 Problem 9
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Answer: D
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Hint 1 of 2
Do the two moves in order: first the 90° anti-clockwise turn, then the reflection in the x-axis.
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Hint 2 of 2
Track both the open gap of the three-quarter circle and the direction the arrow points after each move.
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Approach: apply the rotation then the reflection, tracking gap and arrow
  1. Start from the given three-quarter circle and its arrow.
  2. Rotate the whole picture 90° anti-clockwise about M.
  3. Then reflect that result across the x-axis.
  4. The picture that results is option D.
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