A piece of paper is shown in the figure below. In which of the given answer figures will it appear when folded?
The correct figure is the one showing three vertical lines and a single horizontal line near the base inside the lower-right triangle.
The question figure is a square with a line close to its left side and a line close to its base, meeting at the lower-left inner corner. From this corner, three nested squares of increasing size are drawn by their top and right sides. The dotted fold line runs diagonally from this corner to the top-right corner.
Fold the upper-left half over the dotted diagonal. Reflection across this diagonal turns every horizontal line into a vertical one: the top side of each nested square falls exactly on its own right side, and the line near the left side falls on the line near the base.
So no new lines appear after folding: the lower-right half shows only the three vertical right sides of the nested squares and the one horizontal line near the base. The other answer figures show four or more vertical lines, or two horizontal lines near the base, so they cannot be the folded paper.
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Important Questions from Paper Folding and Cutting
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