A sheet of paper is folded along the dotted line successively along the directions shown and is then punched in the last. How would this paper look when unfolded?
Correct Answer :
Solution :
Correct Answer: Option 2
To determine how the paper will look when unfolded, let us analyze the folding and punching process step-by-step:
1. Folding Step:
A square sheet of paper is folded along the dotted lines at the top-right and bottom-left corners. The arrows show that:
- The top-right corner is folded diagonally downwards and inwards towards the center.
- The bottom-left corner is folded diagonally upwards and inwards towards the center.
This creates double-layered triangular flaps at the top-right and bottom-left regions, while the top-left and bottom-right regions remain single-layered.
2. Punching Step:
Four punches are made on the folded paper:
- Two circle punches are made in the unfolded single-layer regions: one in the top-left corner and one in the bottom-right corner.
- Two triangle punches are made on the folded double-layered flaps: one near the top-right diagonal edge and one near the bottom-left diagonal edge.
3. Unfolding Step:
When the paper is unfolded:
- The circular punches in the top-left and bottom-right corners are on single layers of paper, so they do not mirror and remain as single circles.
- The triangular punch on the top-right folded flap gets mirrored across the diagonal fold line when unfolded, creating a pair of symmetric triangles pointing towards each other in the top-right region.
- The triangular punch on the bottom-left folded flap gets mirrored across the diagonal fold line when unfolded, creating another pair of symmetric triangles pointing towards each other in the bottom-left region.
Comparing this final unfolded state with the given options, we can see that Option 2 (depicting two symmetric pairs of triangles at the top-right and bottom-left, along with single circles at the top-left and bottom-right) is the correct representation.
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