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Question


A transparent square sheet shown above is folded along the dotted line. The folded sheet will look like ________________.

The correct answer is

To solve this problem, we need to understand how the shape will appear when the square sheet is folded along the dotted line. The question involves visualizing the transformation of a two-dimensional figure due to folding.

The given image shows a "K" shaped figure inside a square. The dotted line represents where the sheet will be folded. This line is a vertical line down the center of the sheet, meaning that the left side of the sheet will be folded over onto the right side.

After folding, each part of the "K" on the left side of the fold will overlap with a corresponding area on the right side. The vertical line in "K" will overlap exactly on itself.

Now, let's consider each option to ascertain the correct folded view:

  • This option shows no "K" shape symmetry around the fold line, which is incorrect.
  • This option maintains a symmetry but does not match the expected "K" folding.
  • Correct Answer:This option shows the "K" properly mirrored.
  • This option displays incorrect symmetry and incorrect orientation of "K" after folding.

Thus, by evaluating the mirrored imagery of the "K" shape, Option 3 represents the accurate result of the folding.

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Important Questions from Paper Folding

  1. The paper as shown in the figure is folded to make a cube where each square corresponds to a particular face of the cube. Which one of the following options correctly represents the cube?
    Note: The figures shown are representative.
     

  2. A planar rectangular paper has two V-shaped pieces attached as shown below.

    This piece of paper is folded to make the following closed three-dimensional object.

    The number of folds required to form the above object is


  3. Consider a cube made by folding a single sheet of paper of appropriate shape.
    The interior faces of the cube are all blank. However, the exterior faces that arenot visible in the above view may not be blank.
    Which one of the following represents a possible unfolding of the cube?

  4. Two identical sheets A and B, of dimensions $24$ cm $\times$ $16$ cm, can be folded into half using two distinct operations, FO1 or FO2. 
    In FO1, the axis of folding remains parallel to the initial long edge, and in FO2, the axis of folding remains parallel to the initial short edge. 
    If sheet A is folded twice using FO1, and sheet B is folded twice using FO2, the ratio of the perimeters of the final shapes of A and B is

  5. Consider two rectangular sheets, Sheet M and Sheet N of dimensions 6 cm x 4 cm each.
    Folding operation 1: The sheet is folded into half by joining the short edges of the current shape.
    Folding operation 2: The sheet is folded into half by joining the long edges of the current shape.
    Folding operation 1 is carried out on Sheet M three times.
    Folding operation 2 is carried out on Sheet N three times.
    The ratio of perimeters of the final folded shape of Sheet N to the final folded shape of Sheet M is ________.
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