Objects are not the only things that can have symmetry. Ideas and concepts, such as some of the laws of physics, can also have symmetry. When scientists discover symmetries in the laws of physics, they can uncover deep truths about the universe. Physical properties that stay the same when a system changes are said to be conserved. Energy is one of these.
Physicists say energy obeys a conservation law.
There is a deep connection between symmetries and conservation laws. Fermilab scientists use symmetry to try to understand the properties of matter and forces.