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2017 Math Kangaroo

Problem 4

Problem 4 · 2017 Math Kangaroo Easy
Spatial & Visual Reasoning transformationsspatial-reasoning

The left picture is rotated, and the right picture shows the new position after the rotation. Which footprints are missing after the rotation?

Figure for Math Kangaroo 2017 Problem 4
Show answer
Answer: C
Show hints
Hint 1 of 2
Turn the left picture in your mind and compare every footprint with the right one.
Still stuck? Show hint 2 →
Hint 2 of 2
List the kinds of prints in each picture; the one type that appears on the left but not the right is missing.
Show solution
Approach: compare the two pictures and find the footprint type that is absent after the turn
  1. Rotating does not change which footprints exist, only where they sit.
  2. Match each print in the right picture to one in the left.
  3. One footprint from the left has no partner in the right picture.
  4. That missing footprint is the one shown in C.
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