The locomotory organ of `Amoeba` is pseudopodia. Pseudopodia are temporary projections or extensions of the cell membrane that allow the amoeba to move. These extensions are formed by the cytoplasm flowing in the direction of movement and then solidifying. The amoeba can stretch out these pseudopodia in various directions to propel itself and change its direction of movement.

Parapodia, option 2, are actually appendages found in certain marine organisms such as polychaete worms, and not in amoeba.

Flagella and cilia, options 3 and 4 respectively, are hair-like projections found on the surface of certain cells or organisms. While they are responsible for movement in some organisms, they are not the primary locomotory organ in amoeba. Alert - the correct answer should be option 1, Pseudopodia.