A jigsaw puzzle has 2 pieces. One of the pieces is shown. 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 option is:
Option 2 (represented by the image with a tall column in the middle-right and a hook-like structure on the far right with the opening facing left, corresponding to file j8h9f-1720763550769.png).

Step-by-Step Explanation:

1. Analyze the Given Piece:
The given piece has a flat vertical boundary on the right and an irregular, interlocking boundary on the left. To form a perfect rectangle when assembled, the missing piece must have an interlocking boundary that is the exact complement of the given piece's left boundary.
Specifically, tracing the interlocking boundary of the given piece from top to bottom:
• Top Section: A hook-like recess that goes inwards to the right with a downward-pointing protrusion.
• Upper-Middle Section: A recessed rectangular area.
• Lower-Middle Section: A long horizontal projection extending to the left.
• Bottom Section: An indentation that goes inwards to the right, ending with a flat horizontal base.

2. Determine the Shape of the Complementary (Required) Piece:
To fit perfectly, the required piece in its vertical orientation (with its flat edge on the left and interlocking edge on the right) must have:
• A hook-like protrusion at the top to fit into the given piece's top hook-like recess.
• A protrusion to fill the upper-middle recess.
• A deep recess to receive the long horizontal projection of the given piece.
• A projection at the bottom to fill the bottom indentation.

3. Rotate and Mirror (Flip) the Complementary Piece:
Since the pieces can be moved, rotated, or flipped:
• If we rotate the required complementary piece 90 degrees counter-clockwise so that its flat edge lies at the bottom and its interlocking edge points upwards, we obtain a horizontal piece.
• In this horizontal orientation, tracing from left to right, we have a hook-like structure on the left (with a notch facing right), a deep recess, a narrow tall column, and a tall rectangular block on the right.
• If we reflect (mirror) this piece horizontally across a vertical axis, the features swap sides: the tall rectangular block moves to the far left, the narrow column is in the middle-right, and the hook-like structure moves to the far right with its notch now facing left.
• This mirrored shape matches Option 2 exactly.