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Study Guide: Symmetry
Source: https://www.fatskills.com/basic-math/chapter/symmetry

Symmetry

By Fatskills Exam Guides Team — the exam nerds behind 28,500+ quizzes and 2.1M practice questions across 500+ global exams.

⏱️ ~2 min read

- A figure has line symmetry if a line can be drawn dividing the figure into two identical parts.

- The line is called a line of symmetry.

- A figure may have no line of symmetry, only one line of symmetry, two lines of symmetry or multiple lines of symmetry. Here are some examples.

- No line of symmetry: A scalene triangle

Only one line of symmetry: An isosceles triangle

Two lines of symmetry: A rectangle

Three lines of symmetry:  An equilateral triangle

Line of Symmetry: A figure is said to have line symmetry, if by folding the figure along a line, the left and right parts of it coincide exactly. The line is called the line (or axis) of symmetry of the figure. A figure may have no line of symmetry, one line of symmetry, two lines of symmetry, three lines of symmetry and so on.

- Symmetry has plenty of applications in everyday life as in art, architecture, textile technology, design creations, geometrical reasoning, Kolams, Rangoli etc.

- Reflection and Symmetry: The line of symmetry is closely realted to mirror reflection.
When dealing with mirror reflection we have to take into account the left – right changes in orientation.

- Application in every day life: Symmetry has plenty of applications in every day life as in art, architecture, textile technology, design creations, geometrical reasoning Kolams, Rangoli etc.



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