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2013 Math Kangaroo

Problem 8

Problem 8 · 2013 Math Kangaroo Easy
Spatial & Visual Reasoning spatial-reasoning

A rectangular mirror has broken into pieces. Which one of the pieces (A–E) is the missing piece that completes the rectangle?

Figure for Math Kangaroo 2013 Problem 8
Show answer
Answer: B
Show hints
Hint 1 of 3
Imagine sliding the broken pieces together to rebuild the rectangle.
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Hint 2 of 3
Look at the hole that is left over: notice its shape and which way its edges slant.
Still stuck? Show hint 3 →
Hint 3 of 3
Pick the piece whose edges match that hole exactly, with no gap and no overlap.
Show solution
Approach: match the missing piece to the gap
  1. Imagine the broken pieces placed inside the rectangle outline.
  2. The empty space has one specific shape and slant.
  3. The piece that fills it exactly is option B.
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