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2010 Math Kangaroo

Problem 7

Problem 7 · 2010 Math Kangaroo Easy
Spatial & Visual Reasoning tiling-tessellation
Figure for Math Kangaroo 2010 Problem 7
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Answer: B
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Hint 1 of 2
Each tile is a square split by one diagonal (or a half-shaded diamond); the shaded part is always a triangle.
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Hint 2 of 2
Try to build each pattern from those triangle halves — one pattern needs a piece the tiles can't make.
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Approach: try to assemble each pattern from the triangular tiles
  1. The tiles only give you right-triangle halves of a square.
  2. Four of the patterns can be tiled with these halves.
  3. Pattern B requires a shape the given tiles cannot form, so it cannot be made.
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