Mathematics is all about symmetry. Symmetry is the property of an object or group of objects that is unchanged by a transformation. A transformation is a process that changes the shape or arrangement of objects, or the way they interact with one another.
In mathematics, symmetry is used to solve problems. For example, if you want to figure out the solution to a problem that involves two equations, symmetry can help you by solving for two unknowns that are in between the equations. This is called symmetric algebra.
Symmetry can also be used to analyze problems. For example, if you have a problem that involves a triangle, symmetry can help you figure out what angles are in the triangle and what angles are not in the triangle. This is called symmetry analysis.
Symmetry is important in all branches of mathematics, but it is especially important in geometry. Geometry is the branch of mathematics that deals with shapes and symmetry is a major tool in geometry. Symmetry can help you solve problems, analyze problems, and understand shapes.
