Determine the focal point of the room. Build your symmetrical room around this point, rather than worrying about the constructed shape of the room. In a living room, this might be the fireplace or television set, and in the bedroom, the bed.
Anchor the focal point further. In the case of a fireplace or bed, a good way to do this is to hang a large piece of art above the focal point. You could do the same for a couch. This further emphasizes the point of the room around which the symmetry will be crafted.
Create an imaginary boundary in the space that you're decorating that furniture won't go beyond. This allows you to define a symmetrical space in an asymmetrical room. For a simple example, in a living room that's square except for a hallway extending to the next room, decorate in perfect symmetry as if the hallway didn't exist and treat it as a separate space. This defines a symmetrical area.
Arrange furniture out from the focal point, concentrating on balance rather than worrying about the room's proportions. For instance, you should place a nightstand and lamp on either side of a bed. In a living room, arrange seating so the seats are an equal distance and at a matching angle from the focal point. The seats don't have to be in the exact same places, but need to balance each other out in size and seating capacity.
Add art and accessories to the space concentrating on creating perfect balance. For instance, if you hang art on one wall, hang a piece of similar size or impact on the opposing wall. If you have a window on one wall, balance it with art on the other. Ensure that any cushions or rugs you place in the room have a counterpart so the room stays balanced on both sides.