How to Balance/Keep your Balance
Balance in dances means there is no force or torque supporting the dancer. In order to keep your balance, force is not needed because your momentum does not change and torque is not needed because your angular momentum does not change.
Balance is all about gravity and your center of gravity. In order to stay completely balanced you center of gravity must be directly above the area of contact you have with the floor. That’s why when you balance larger objects onto smaller objects, you tend to place that object in the middle so that it is equal on both sides meaning it is completely balanced. If you place one side of the larger object onto the small object, the larger object will fall showing that it is unbalanced. Balance and gravity also work with more than one person (partner work is the "dance" term). For example:
Balance is all about gravity and your center of gravity. In order to stay completely balanced you center of gravity must be directly above the area of contact you have with the floor. That’s why when you balance larger objects onto smaller objects, you tend to place that object in the middle so that it is equal on both sides meaning it is completely balanced. If you place one side of the larger object onto the small object, the larger object will fall showing that it is unbalanced. Balance and gravity also work with more than one person (partner work is the "dance" term). For example:
In order for the both of the dancers to stay in this position, both of their gravities have to be centered within their body if not they would both fall. But this also goes back to "forces". In order for them also to stay in this position they need to be supported by gravity in order to stay grounded. The dancer balancing the other dancer is getting support from the floor (dancer pushes on floor and floor pushes back on dancer) and the dancer standing their leg, is getting support from the leg (the dancer pushes on the leg and the leg pushes back on the dancer). Gravity whether it be your center of gravity or gravity from outside your body, definitely is a factor that allows a dancer to stay balanced.
Balance seems like it may have more to do with acrobatics, but it is very important for dancers to have good balance on both their right and left sides of their body. If they have more balance on one side than the other, it is extremely important that they build up their balance on the weaker side. Having more balance on one side than the other causes your center of gravity to be off therefore dancers would not be able to stand on point or balance on top of each other to make a formation etc.
Here's a video to help better understand the idea of balance visually.