Problem 13 · 2013 Math Kangaroo
Medium
Spatial & Visual Reasoning
tiling-tessellation
Which of the pieces (A–E) can be joined to the piece shown so that together they form a rectangle?
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Answer: B
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Hint 1 of 3
The two pieces together must make a full rectangle with no gaps and no overlaps.
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Hint 2 of 3
Look at the bumps and notches along the edge of the given piece.
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Hint 3 of 3
The right partner is the piece whose bumps fit exactly into those notches.
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Approach: find the complementary piece
- Picture the given piece and the rectangle it should complete.
- The matching piece must fill its notches and leave no overlap.
- Only option B completes the rectangle.
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