The pieces in Figure (X) are put together, without overlapping, to make one of the figures given in the options. Which one? (Lines inside an option show its pieces.)
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) →
A figure can be formed from the pieces only if it is cut into exactly the 4 pieces of Figure (X), each with the same shape and size (a piece may be turned round). The 4 pieces of Figure (X), turned round where needed, fit together as the house shape of Option (4), as shown in the same colours below.
Option (1) — Incorrect. The line between its left piece and its bottom-left piece is in a different place: the left piece has one small square less and the bottom-left piece one small square more, so neither of them is one of the given pieces.
Option (2) — Incorrect. The line between its bottom-left piece and its middle piece is in a different place: the bottom-left piece has one small square less and the middle piece one small square more, so neither of them is one of the given pieces.
Option (3) — Incorrect. It is cut differently: its bottom-left, bottom-right, right and top-left pieces do not match any piece of Figure (X), even when turned round.