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2017 Math Kangaroo

Problem 8

Problem 8 · 2017 Math Kangaroo Easy
Spatial & Visual Reasoning reflectionspatial-reasoning

This picture shows you Anna's house from the front. At the back it has three windows but no door. Which picture shows Anna's house from the back?

Figure for Math Kangaroo 2017 Problem 8
Show answer
Answer: E
Show hints
Hint 1 of 2
The back of the house is the mirror image of the front, left and right swapped.
Still stuck? Show hint 2 →
Hint 2 of 2
The back has no door, so first rule out every picture that still shows a door.
Show solution
Approach: mirror the front view and require no door
  1. Seen from the back, left and right are swapped compared with the front.
  2. The back has three windows and no door, so reject any picture with a door.
  3. Mirroring the front's window positions and dropping the door matches one picture.
  4. That picture is E.
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