The left box shows separate flat pieces. Which figure shows how the pieces look when they are fitted together?
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Answer: D
Count the pieces first: every figure must use each piece exactly once, with nothing added. Then pick one distinctive piece, such as the largest one or one with a curved or sharply pointed edge, and look for it in each figure; pieces may be turned but never flipped over. A figure whose cut lines are in different places has pieces of different sizes and can be crossed out. Here the pieces fit together into a half-circle.
- A: This figure has 3 pieces, but the left box has 2. Every piece must be used once, and nothing may be added.
- B: A cut is in a different place, so the pieces do not match: one piece here covers about 52% of the shape, but the matching piece in the left box covers about 60%.
- C: This figure is a trapezoid. The pieces in the left box do not have these shapes, so they cannot fill this outline without gaps or overlaps.
- D (correct): This half-circle is made of exactly the 2 pieces in the left box, each only turned and slid into place.