When translating a geometric figure horizontally, the possible directions in which the figure might move include:
1. Left: Moving the figure towards the left side of the coordinate plane.
2. Right: Moving the figure towards the right side of the coordinate plane.
3. No movement: If the figure does not move horizontally, it remains in its original position.
4. Up: Moving the figure vertically upwards along the y-axis.
5. Down: Moving the figure vertically downwards along the y-axis.
6. Diagonal: Moving the figure along a diagonal line. This can be a combination of horizontal and vertical movements.