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Question

A jigsaw puzzle has 2 pieces. One of the pieces is shown above. Which one of the given options for the missing piece when assembled will form a rectangle? The piece can be moved, rotated or flipped to assemble with the above piece.

The correct answer is

The question requires us to determine which of the given options completes the jigsaw puzzle to form a rectangle when combined with the given piece. To solve this, we need to analyze the shapes and see which one can be rotated, flipped, or moved to fit perfectly with the provided piece.

Let's analyze the provided piece:

We need to find an option that, when combined with this piece, forms a rectangle. Let's consider each option:

  • This option, when flipped vertically, matches perfectly with the given piece to form a rectangle.

  • This option does not align well with the cutouts and extensions of the given piece.

  • This option also does not fit well with the given piece in any orientation.

  • This option, when tried in different orientations, still fails to form a rectangle with the given piece.

Therefore, the correct option is:

This piece complements the original piece perfectly to form a complete rectangle. By flipping the selected option vertically, it aligns with the original piece.

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Important Questions from Assembling Shapes

  1. Which one of the following sets of pieces can be assembled to form a square with a single round hole near the center? Pieces cannot overlap.
  2. Which one of the groups given below can be assembled to get the shape that is shown above using each piece only once without overlapping with each other?
    (rotation and translation operations may be used).

  3. A jigsaw puzzle has 2 pieces. One of the pieces is shown above. Which one of the given options for the missing piece when assembled will form a rectangle? The piece can be moved, rotated or flipped to assemble with the above piece.

  4. The figure shows two 4-tile patterns.

     



    Either one or both of the patterns can be used any number of times and in any orientation to construct a new pattern. Which one of the options below cannot be constructed by using only these two 4-tile patterns assuming there are no overlaps among them?

  5. The four pieces of a puzzle are shown in the figure below.


    Which one of the figures labelled as P, Q, R, and S can be constructed by using each of the four pieces only once without overlaps?

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