Problem 10 · 2010 Math Kangaroo
Medium
Spatial & Visual Reasoning
foldingsymmetry
Maria folds a square piece of paper so that the two kangaroos land exactly on top of each other. Along how many of the lines shown is this possible?
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Answer: C — 2
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Hint 1 of 2
A fold line works only if the two halves are mirror images across it.
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Hint 2 of 2
Check each drawn line and count how many are true lines of symmetry for the four kangaroos.
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Approach: count the lines of symmetry of the figure
- A fold makes the kangaroos overlap exactly only along a line of symmetry.
- Test the drawn lines: only two of them reflect the figure onto itself.
- So the answer is 2 lines.
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