Problem 13 · 2017 Math Kangaroo
Stretch
Spatial & Visual Reasoning
tiling-tessellationspatial-reasoning
Simon has two identical tiles, whose front looks like this. The back is white. Which pattern can he make with those two tiles? (The five patterns are shown as choices A, B, C, D, E.)
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Answer: A
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Hint 1 of 2
Each tile can be turned around or even flipped over, since the back is plain white.
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Hint 2 of 2
Try to split each pattern into two pieces that both look just like Simon's tile.
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Approach: tile the figure with two copies of the piece
- The two tiles are identical L-shaped pieces (a dark square in one corner); they may be turned or flipped.
- Test each option by trying to cut it into two such tiles with the dark squares in the right spots.
- Only option A can be built from the two given tiles.
- So the answer is A.
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