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RS Aggarwal Solutions: Symmetry (Exercise 11B)

Q1. Observe each of the following sequences of paper folding and cutting, and draw the output pattern obtained on opening the paper.
Ans:

RS Aggarwal Solutions: Symmetry (Exercise 11B)


Q2. Given the line of symmetry, find the other hole in each case.

RS Aggarwal Solutions: Symmetry (Exercise 11B)

Ans:
RS Aggarwal Solutions: Symmetry (Exercise 11B)

Q3. Observe each of the following sequences of paper folding and punching, and draw the output pattern obtained on opening the paper.
Ans:

RS Aggarwal Solutions: Symmetry (Exercise 11B)

The document RS Aggarwal Solutions: Symmetry (Exercise 11B) is a part of the Class 6 Course Mathematics for Class 6.
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FAQs on RS Aggarwal Solutions: Symmetry (Exercise 11B)

1. What is symmetry in geometry?
Ans. Symmetry in geometry refers to a balance and proportion in shapes where one side is a mirror image of the other. It can be seen in two main types: reflective symmetry, where one half is a reflection of the other, and rotational symmetry, where a shape can be rotated around a central point and still look the same.
2. How can we identify lines of symmetry in shapes?
Ans. To identify lines of symmetry in shapes, one can fold the shape along a line and see if both halves match perfectly. For example, a square has four lines of symmetry, while a circle has infinite lines of symmetry as any diameter divides it into two equal halves.
3. What are some common shapes that exhibit symmetry?
Ans. Common shapes that exhibit symmetry include squares, rectangles, circles, and equilateral triangles. Each of these shapes has specific lines of symmetry; for instance, a rectangle has two lines of symmetry, while an equilateral triangle has three.
4. What is the significance of symmetry in art and nature?
Ans. Symmetry is significant in art and nature as it creates balance and harmony, making objects visually appealing. In nature, many living organisms, like butterflies and flowers, display symmetry, which can be linked to evolutionary advantages, such as attracting mates or camouflage.
5. Can a shape have more than one type of symmetry?
Ans. Yes, a shape can have more than one type of symmetry. For example, a circle has both reflective and rotational symmetry, as it can be divided into equal halves in multiple ways and looks the same when rotated at any angle.
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