A square transparent sheet with a pattern is given. How will the pattern look when the sheet is folded at the dotted line?
The correct figure is the one that shows a vertical line, the two slanting lines from the corners, and a single curved arc that cuts across both slanting lines.
The sheet is folded along the dotted vertical line in the middle, so the right half is laid over the left half. Because the sheet is transparent, every line of both halves stays visible.
The pattern is symmetric about the dotted line: the right slanting lines fall exactly on the left slanting lines, and the right vertical line falls exactly on the left vertical line. The small circle is centred on the dotted line, so its right half folds exactly onto its left half, leaving one arc.
The two slanting lines pass through the centre of the circle, so this arc crosses both slanting lines, with its ends showing beyond them. Hence the folded pattern has the vertical line, both slanting lines and one arc crossing both slanting lines.
Among the other figures, one has no vertical line, one has the arc crossing only the lower slanting line, and one has the arc lying inside the slanting lines without crossing them.
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Important Questions from Paper Folding and Cutting
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Which of the following cube in the answer figure cannot be made based on the unfolded cube in the question figure?
If the transparent sheet is folded at the dotted line, then the resulting figure is
