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).
To solve the spatial aptitude question, we need to determine which group of shapes can be assembled to form the given target shape using each piece exactly once, without overlapping and allowing for rotations and translations.
The target shape resembles an arrow pointing upwards. We must evaluate each given option to see which set of shapes can fit together to perfectly recreate this target.
- Examine the first option:
These pieces do not fit together to form the target shape, as they either overlap or leave gaps.
- Examine the second option:
By observing, we find that these pieces can be rotated and translated to form the shape. Each triangular and quadrilateral piece aligns perfectly, creating the smooth outline with no overlaps or gaps, matching the target.
- Examine the third option:
These shapes cannot form the desired figure as they do not cover the area required for the pointed tip correctly.
- Examine the fourth option:
This group does not form the target shape either, as the central and base parts do not align as needed.
After checking all options, only the second option is viable, where every piece contributes to forming the complete target shape without any gaps or overlaps.
Conclusion: The correct answer is the second group of shapes, as shown in the image below:
Important Questions from Assembling Shapes
- 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.
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.
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 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?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?
