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In mathematics, especially in geometry and its applications, an object is said to have symmetry if it can be divided into two identical halves. For example, look at the given picture of a flower: If we were to draw an imaginary line in the middle of it, we could divide it into two equal parts like this:
In geometry, symmetry is defined as a balanced and proportionate similarity that is found in two halves of an object. It means one-half is the mirror image of the other half. The imaginary line or axis along which you can fold a figure to obtain the symmetrical halves is called the line of symmetry.
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The symmetry of a physical system is a physical or mathematical feature of the system (observed or intrinsic) that is preserved or remains unchanged under some transformation.
This article describes symmetry from three perspectives: in mathematics, including geometry, the most familiar type of symmetry for many people; in science and nature; and in the arts, covering architecture, art, and music.
In geometry, an object has symmetry if there is an operation or transformation (such as translation, scaling, rotation or reflection) that maps the figure/object onto itself (i.e., the object has an invariance under the transform). [1]
Sep 24, 2024 · Symmetry is defined as a property of a shape or object where one half of the object is a mirror image of the other half. This means that if we divide the object along a line (line of symmetry), both sides will look identical or exhibit a balanced proportion.
symmetry, in physics, the concept that the properties of particles such as atoms and molecules remain unchanged after being subjected to a variety of symmetry transformations or “operations.”
