Select the figures which, when fitted with each other, will form a complete square.
Show Hint
In figure formation puzzles, look for complementary shapes – a cutout in one piece that matches a protrusion in another. Also, look for right angles that can form the corners of the target square or rectangle.
Step 1: Understanding the Concept:
This is a spatial reasoning puzzle known as figure formation. We need to mentally rotate and join the given pieces to see which combination forms a perfect square. Step 2: Detailed Explanation:
Let's analyze the shapes of the pieces and how they might fit together to form the corners and edges of a square.
Figure (A): This piece has a 90-degree angle that can form the top-left corner of the square. It has a complex, stepped bottom edge.
Figure (C): This piece has a 90-degree angle that can form the bottom-right corner of the square. Its top edge is stepped in a way that is complementary to the bottom edge of figure (A).
Fitting (A) and (C): If we place (A) in the top-left and (C) in the bottom-right, their stepped edges will interlock perfectly. This combination creates a large shape with a 'V'-shaped gap in the middle.
Figure (B): This piece is shaped like an arrowhead. The top of the arrowhead is a 'V'-shape that perfectly matches the 'V'-shaped gap created by fitting (A) and (C) together.
Combining (A), (B), and (C): When piece (B) is inserted into the gap between pieces (A) and (C), all the edges align to form a complete, solid square.
Figure (D): This piece is a simple shape formed by a diagonal cut. Its straight edges and simple form do not match the complex, interlocking edges of pieces A, B, and C. It does not belong to the set that forms the square.
Step 3: Final Answer:
The figures (A), (B), and (C) are the ones that fit together to form a complete square.
