axis of symmetry
The vertical line that divides a parabola into two symmetric parts
In mathematics, the axis of symmetry is a line through a two-dimensional shape that divides it into two congruent halves. Essentially, it is a line that divides a shape into two mirror images of each other.
The most common type of axis of symmetry is a line of symmetry, which divides a shape into two equal and opposite sides. For example, a square has four lines of symmetry, while a circle has infinite lines of symmetry – any line passing through the center of a circle will be an axis of symmetry.
The axis of symmetry can be used to simplify calculations and solve problems. In geometry, for example, it can be used to find the area or volume of shapes by dividing them into simpler symmetrical shapes. Additionally, many natural and man-made objects have symmetrical properties, so studying the axis of symmetry can help scientists and engineers understand and design structures and organisms more efficiently.
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