Class 6 Exam > Class 6 Notes > RD Sharma Solutions -Ex-17.1, Symmetry, Class 6, Maths
Ex-17.1, Symmetry, Class 6, Maths RD Sharma Solutions PDF Download
Q.1. List any four symmetrical objects from your home or school. Also mention the line of symmetry.
Sol: i. A gate -
ii. A green board -
iii. A pair of spectacles -
iv. A glass
Q.2. Identify the symmetrical instruments from your mathematical instrument box.
Sol: i. A protractor
ii. A divider
iii. A ruler (scale)
iv. A eraser
v. A pencil
Q.3. Copy each of the following on a squared paper and compute then in such a way that the dotted line is the line of symmetry.
i.
ii.
iii.
iv.
v.
vi.
FAQs on Ex-17.1, Symmetry, Class 6, Maths RD Sharma Solutions
| 1. What is symmetry in mathematics? |  |
Ans. Symmetry in mathematics refers to a balanced arrangement of objects or figures. It means that one part of an object or figure is the mirror image of the other part. In simpler terms, if a shape or figure can be divided into two equal halves that are mirror images of each other, it is said to have symmetry.
| 2. How can we identify symmetry in a figure? | |
Ans. To identify symmetry in a figure, we need to check if it can be divided into two equal halves that are mirror images of each other. One way to do this is by folding the figure along a line and checking if the two folded halves match perfectly. If they do, then the figure has symmetry. Another way is to draw a line through the figure and see if both sides are identical.
| 3. What are the different types of symmetry? | |
Ans. There are three types of symmetry - reflection symmetry, rotational symmetry, and translational symmetry.
- Reflection symmetry, also known as mirror symmetry, occurs when a figure can be divided into two equal halves that are mirror images of each other.
- Rotational symmetry occurs when a figure can be rotated around a point and still look the same in multiple positions.
- Translational symmetry occurs when a figure can be moved along a straight line without changing its shape or orientation.
| 4. Can all figures have symmetry? | |
Ans. No, not all figures have symmetry. Some figures, like a circle or an oval, do not have reflection symmetry as they cannot be divided into two equal mirror image halves. However, they may have rotational symmetry if they can be rotated around a point and still maintain their shape.
| 5. How is symmetry used in everyday life? | |
Ans. Symmetry is used in various aspects of everyday life. It is commonly used in art and design to create visually appealing compositions. Architects and interior designers often use symmetry to create balance and harmony in buildings and spaces. Symmetry is also seen in nature, such as the symmetry of a butterfly's wings or the petals of a flower. Additionally, symmetry is used in technology, for example, in designing logos, patterns, and even computer graphics.
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