Which one of the groups given below can be assembled to get the shape that is shown using each piece only once without overlapping with each other? (rotation and translation operations may be used).

The correct option is the second option: [IMAGE PROVIDED BELOW] (represented by the image containing one rectangle and four identical triangles).

To understand why this group of shapes can be assembled to form the target rocket-like shape, we can decompose the target shape step-by-step:

1. The Middle Section (Body):
The vertical body of the rocket is formed directly by the single central rectangle.

2. The Top Section (Tip):
One of the four identical triangles is placed directly on the top edge of the rectangle, pointing upwards, forming the pointed tip of the rocket.

3. The Bottom Section (Flared Base):
The flared trapezoidal base at the bottom is constructed using the remaining three identical triangles:
• One triangle is rotated by $180°$ to point downwards. Its horizontal base is attached directly to the bottom edge of the central rectangle.
• The remaining two triangles are kept pointing upwards and placed on the left and right sides of the downward-pointing triangle. By aligning their slanted sides with the slanted sides of the central downward-pointing triangle, they fit together perfectly without any gaps or overlaps, creating a wider, flared base with a flat bottom edge.

Thus, by using exactly one rectangle and four triangles, the target shape is successfully assembled.