Symmetry is like having a mirror image. When something is symmetrical, it means that if you drew a line through the middle, both sides of the object would look exactly the same.
Think about drawing a butterfly. If you were to draw one wing of the butterfly and then fold the piece of paper in half vertically, the other wing would look just like the first one you drew. That's an example of symmetry.
Another example would be a square. If you drew a line through the middle of a square from one corner to another, both halves would look identical. That's another example of symmetry.
Symmetry is important in geometry because it helps us identify patterns and shapes in mathematics. We can use symmetry to figure out the shape of an object or to solve problems in geometry.