Problem 6 · 2010 Math Kangaroo
Easy
Spatial & Visual Reasoning
gridspatial-reasoning
Six points are marked on a square grid as pictured. Which geometric figure cannot be drawn if only the marked points are allowed to be used as corner points of the figure?
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Answer: E — all figures are possible
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Hint 1 of 2
Look at where the six dots sit and try to actually build each named shape on them.
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Hint 2 of 2
Test the shapes one by one; if you can place all four, the answer is that all are possible.
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Approach: construct each shape on the marked points
- Check each listed figure against the six marked points.
- Each of the shapes can be formed using marked points as its corners.
- So the answer is all figures are possible.
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