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1. What is symmetry in mathematics?
Ans. Symmetry in mathematics refers to a balanced and harmonious arrangement of elements. A figure has symmetry if there is a transformation that moves the figure so that it looks exactly the same before and after the transformation.
2. How many types of symmetry are there?
Ans. There are three main types of symmetry - reflectional symmetry (also known as mirror symmetry), rotational symmetry, and translational symmetry. Each type has its unique characteristics and properties.
3. How is symmetry used in real life?
Ans. Symmetry is used in real life in various fields such as art, architecture, design, and science. It helps create aesthetically pleasing designs, improve functionality, and understand natural patterns and structures.
4. What is bilateral symmetry?
Ans. Bilateral symmetry is a type of symmetry where an object is divided into two equal halves that are mirror images of each other. Many living organisms, such as humans and butterflies, exhibit bilateral symmetry.
5. How can symmetry be tested in a figure?
Ans. Symmetry in a figure can be tested by applying various transformations, such as reflection, rotation, and translation, to see if the figure remains unchanged. If the figure looks the same after the transformation, it exhibits symmetry.
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