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Symmetry. 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. If an object is symmetrical, it means that it ...
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Sep 24, 2024 · Symmetry and Line of Symmetry. Symmetry refers to a situation where one half of an object, shape, or image is a mirror image of the other half. We can also call symmetry a balanced and proportionate similarity between two halves of an object. Symmetry is often seen in nature, art, and design, where it creates a sense of balance and harmony.
Symmetry Examples. Example 1: If the following figure shows a reflexive line of symmetry, complete the figure. Solution: It is given that the figure has a reflexive line of symmetry. That means the second half or the missing part of the figure will be exactly the same as given on the other side.
Symmetry (geometry) A drawing of a butterfly with bilateral symmetry, with left and right sides as mirror images of each other. 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 ...
A line of symmetry is the line that divides a shape or an object into two equal and symmetrical parts. We also call this line the axis of symmetry or mirror line because it divides the figure symmetrically, and the divided parts look like mirror reflections of each other. More line of symmetry examples are shown in the figure below.
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Aug 3, 2023 · A shape shows rotational symmetry when we rotate it around a central point at an angle other than 360°, and the outcome is the same as the shape’s original appearance. Reflectional Symmetry A shape has a reflectional (reflective) symmetry if the line of symmetry divides the object into two equal halves such that each half is a mirror image of the other.
