Problem 5 · 2016 Math Kangaroo
Medium
Spatial & Visual Reasoning
reflection
A scatter diagram on the xy-plane gives the picture of a kangaroo as shown on the right. Now the x- and the y-coordinate are swapped for every point. What does the resulting picture look like?
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Answer: A
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Hint 1 of 2
Swapping x and y for every point is a familiar geometric move.
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Hint 2 of 2
It reflects the whole picture across the line y = x (the diagonal).
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Approach: reflection across y = x
- Replacing (x,y) by (y,x) reflects each point over the line y = x.
- Reflecting the kangaroo across that diagonal gives the picture in A.
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