Problem 9 · 2014 Math Kangaroo
Medium
Spatial & Visual Reasoning
paper-cuttingspatial-reasoning
Max has cut a rectangle into two pieces. One piece looks like the shape shown. What does the other piece look like?
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Answer: E
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Hint 1 of 3
The two pieces were once one flat rectangle, so together they must make a straight-edged rectangle again.
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Hint 2 of 3
The cut between them is a zig-zag line; the two pieces share that exact same zig-zag edge.
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Hint 3 of 3
Look for the piece whose bumpy edge would slot perfectly into the bumpy edge of the shown piece.
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Approach: the two pieces share the same zig-zag cut, so the matching piece fills the gap into a rectangle
- Both pieces came from one rectangle, so when you push them together they make a flat-topped, flat-bottomed rectangle.
- The shown piece has a zig-zag edge where it was cut; the other piece must have a matching zig-zag that fits into it like a puzzle.
- Picture sliding each choice up against the shown piece and keep only the one whose bumps fill the dips exactly.
- Only choice E completes the rectangle, so that is the other piece.
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