Symmetry is when things look the same even if you move them around. In general relativity, symmetry means that things stay the same when you move them around in space and time.
Imagine you have a ball and you spin it around. It looks the same no matter what angle you look at it. This is called rotational symmetry.
In general relativity, we have something called space-time, which is like a combination of space and time. It also has symmetry. This means that if you move something or someone around in space-time, it will look the same no matter where or when you see it.
Another type of symmetry we have in general relativity is called translation symmetry. This means that if you move something in one direction, it looks the same as if you moved it in another direction.
Symmetry is important in general relativity because it helps us understand how our universe works. It also helps us make predictions and test our theories.