line of symmetry
In mathematics, the line of symmetry refers to an imaginary line that divides a figure into two mirrored halves that are exact copies or reflections of each other
In mathematics, the line of symmetry refers to an imaginary line that divides a figure into two mirrored halves that are exact copies or reflections of each other. When a figure can be folded or divided along a line and the two halves match perfectly, that line is the line of symmetry.
For example, a line segment such as AB can be a line of symmetry if when folded along that line, the position of the points A and B coincide with each other. Another example is a circle which has an infinite number of lines of symmetry passing through its center, dividing it into two equal halves.
The concept of line of symmetry is often used in geometry and is also applicable to various shapes such as triangles, squares, rectangles, regular polygons, and even irregular shapes. It is a fundamental concept in mathematics and is used to study symmetrical properties of objects.
Identifying the line of symmetry can help determine properties of a shape, such as identifying equal angles or sides. It is also useful in creating symmetrical patterns, designs, and artworks.
In summary, the line of symmetry is an imaginary line that divides a figure into two mirrored halves that are identical reflections of each other. It is used to study symmetrical properties of shapes and objects in mathematics.
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