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 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 octagon of Option (4), as shown in the same colours below.
Option (1) — Incorrect. The line between its left piece and its top-left piece is in a different place: the left piece has half a small square less and the top-left piece half a small square more, so neither of them is one of the given pieces.
Option (2) — Incorrect. The line between its left piece and its bottom piece is in a different place: the left piece has half a small square less and the bottom piece half a small square more, so neither of them is one of the given pieces.
Option (3) — Incorrect. It is cut differently: its bottom, bottom-left, top-left and top-right pieces do not match any piece of Figure (X), even when turned round.