A sheet of paper is folded along the dotted line successively along the directions shown and is then punched in the last. How would the paper look when unfolded?
Correct Answer :
Solution :
To determine how the paper will look when completely unfolded, let us analyze the sequence of folding and punching step-by-step as shown in the question image:
Step 1: Analyzing the Folding Process
1. Initial State: A square sheet of paper is provided.
2. First Fold: All four triangular corners of the square sheet are folded inward towards the center along the diagonal dotted lines.
3. Hole Punching: Four circular holes are punched into the folded corner flaps. Specifically, one hole is punched near each of the four folded triangular corners.
Step 2: Unfolding the Paper
When the four folded triangular corners are opened back out to their original positions at the outer four corners of the main square sheet:
1. The circular punch on each triangular flap creates a mirror image across the diagonal fold line.
2. Each corner region will now contain two circular holes:
- One hole remains on the inner region of the main sheet (where the punch went through the underlying layer).
- One hole moves outward onto the outer corner of the sheet (where the flap unfolds back to its original corner position).
Step 3: Final Pattern Analysis
Since there are 4 corners and each corner gets 2 circular holes aligned along the diagonal symmetry line, the unfolded sheet will show 4 groups of 2 circular holes near each of the 4 outer corners of the square paper.
This matches the unfolded pattern shown in the correct option image:
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