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2010 Math Kangaroo

Problem 12

Problem 12 · 2010 Math Kangaroo Medium
Spatial & Visual Reasoning transformations

The figure should be rotated 180° around point F. What is the result?

Figure for Math Kangaroo 2010 Problem 12
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Answer: C
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Hint 1 of 2
A half-turn (180°) is the same as turning the page upside down.
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Hint 2 of 2
Each shaded square ends up on the exact opposite side of point F, the same distance away.
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Approach: turn the figure upside down about F
  1. A 180° turn around F sends every shaded square straight across F to the opposite side.
  2. This flips the picture both left-right and up-down at the same time.
  3. The option showing that upside-down arrangement is choice C.
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