axis of symmetry
The line that divides a function into two matching halves
An axis of symmetry is a line that divides a shape or an object into two parts that are mirror images of each other. It is also sometimes called a line of symmetry.
In mathematics, an axis of symmetry can be used to describe the symmetry of a graph, particularly for functions that are symmetrical around the vertical or horizontal axis. For example, the graph of a parabola is symmetrical around its axis of symmetry, which is a vertical line that runs through the vertex of the parabola.
In geometry, an axis of symmetry can be any line, plane, or axis that divides a shape or object into two parts that are mirror images of each other. For instance, a circle has an infinite number of lines of symmetry that pass through its center. A rectangle has two lines of symmetry that are perpendicular to each other and run through its center.
Overall, axes of symmetry are an important concept in mathematics and geometry because they help us understand how to create and analyze symmetrical shapes and phenomena.
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