Select the option figure that is made up of exactly the pieces given in Figure (X). A piece may be turned round, and the lines in an option show the pieces it is cut into.
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) →
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 (1), as shown in the same colours below.
Option (2) — 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.
Option (3) — Incorrect. The line between its right piece and its top piece is in a different place: the right piece has half a small square less and the top piece half a small square more, so neither of them is one of the given pieces.
Option (4) — Incorrect. The line between its right piece and its bottom-right piece is in a different place: the right piece has half a small square less and the bottom-right piece half a small square more, so neither of them is one of the given pieces.