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2020 Math Kangaroo

Problem 5

Problem 5 · 2020 Math Kangaroo Easy
Spatial & Visual Reasoning reflectiontransformations

Flipping a card over its top edge, we see the photo of the kangaroo shown. If instead we flip the card over its right edge, what will appear?

Figure for Math Kangaroo 2020 Problem 5
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Answer: D
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Hint 1 of 2
Flipping over the right edge is a mirror across a vertical line, not the same as flipping over the top.
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Hint 2 of 2
A right-edge flip mirrors the picture left-to-right; work out that orientation.
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Approach: apply a flip about the right edge (a horizontal mirror)
  1. Flipping the card over its top edge gives the shown kangaroo, a flip about a horizontal line.
  2. Flipping instead over the right edge is a flip about a vertical line, the left-to-right mirror of the original.
  3. Carrying out that vertical flip on the starting picture gives the kangaroo in option D.
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