Problem 2 · 2017 Math Kangaroo
Medium
Spatial & Visual Reasoning
reflectiontransformationsspatial-reasoning
Peter writes the word KANGAROO on a see-through piece of glass, as seen on the right. What can he see when he first flips over the glass onto its back along the right-hand side edge and then turns it about 180° while it is lying on the table?
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Answer: E
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Hint 1 of 2
Flipping the glass over its right edge mirrors the writing left–right.
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Hint 2 of 2
Track what happens to both the order of the letters and whether each letter looks reversed.
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Approach: apply the flip then the half-turn to the see-through word
- Flipping the glass over its right-hand edge reverses the writing left–right, like a mirror image.
- Turning it 180° flat on the table then rotates that mirrored word a half turn.
- Carrying out both moves on KANGAROO gives the image shown in choice E.
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