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2011 Math Kangaroo

Problem 21

Problem 21 · 2011 Math Kangaroo Hard
Spatial & Visual Reasoning tiling-tessellationspatial-reasoning
Figure for Math Kangaroo 2011 Problem 21
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Answer: D
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Hint 1 of 2
The big pattern is built from small triangles of one size and shape.
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Hint 2 of 2
A tile that uses a different size or includes a square cannot tile the triangular pattern.
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Approach: match the tile to the triangle grid
  1. The pattern is made only of identical small triangles fitting a triangular grid.
  2. Each correct tile must be cut from that same triangle grid; the tile in option D does not fit that grid, so it cannot have been used.
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