Class 7 Exam > Class 7 Notes > RD Sharma Solutions for Class 7 Mathematics > RD Sharma Solutions - Ex-18.2, Symmetry, Class 7, Math
Ex-18.2, Symmetry, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics PDF Download
Question 1:
In the following figures, the mirror line (i.e. the line of symmetry) is given as dotted line. Complete each figure performing reflection in the dotted (mirror) line. Also, try to recall the name of the complete figure.
Answer 1:
(a) It will be a square.
(b) It will be a triangle.
(c) It will be a rhombus.
(d) It will be a circle.
(e) It will be a pentagon.
(f) It will be an octagon.
Question 2:
Each of the following figures shows paper cuttings with punched holes. Copy these figures on a plane sheet and mark the axis of symmetry so that if the paper is folded along it, then the wholes on one side of it coincide with the holes on the other side.
Answer 2:
The lines of symmetry in the given figures are as follows:
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
(i)
(j)
(k)
(l)
Question 3:
In the following figures if the dotted lines represent the lines of symmetry, find the other hole (s).
Answer 3:
The other holes in the given figures are as follows:
(a)
(b)
(c)
(d)
(e)
(f)
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FAQs on Ex-18.2, Symmetry, Class 7, Math RD Sharma Solutions - RD Sharma Solutions for Class 7 Mathematics
| 1. What is symmetry in mathematics? |  |
Ans. Symmetry in mathematics refers to the balanced arrangement of objects or shapes on either side of a line or a point. It is the property of an object that remains unchanged when it is reflected, rotated, or translated.
| 2. How can I identify symmetry in a figure? | |
Ans. To identify symmetry in a figure, you can look for a line or a point about which the figure can be folded or rotated so that it appears unchanged. If the figure appears the same on both sides of the line or point, then it has symmetry.
| 3. What are the different types of symmetry? | |
Ans. There are three types of symmetry:
1. Line Symmetry: When a figure can be divided into two equal parts by a line, it has line symmetry.
2. Rotational Symmetry: When a figure can be rotated by a certain angle and still appear the same, it has rotational symmetry. The angle of rotation is called the order of symmetry.
3. Point Symmetry: When a figure remains unchanged when rotated by 180 degrees around a central point, it has point symmetry.
| 4. How is symmetry useful in real life? | |
Ans. Symmetry is useful in various aspects of real life. For example:
1. Architecture: Symmetry is often used in designing buildings and structures to create a visually pleasing and balanced appearance.
2. Art: Artists use symmetry to create balanced and harmonious compositions in paintings, sculptures, and other forms of artwork.
3. Nature: Many natural objects and organisms exhibit symmetry, such as flowers, snowflakes, and butterfly wings. Studying symmetry in nature helps scientists understand patterns and structures.
| 5. Can all figures have symmetry? | |
Ans. No, not all figures have symmetry. Some figures may have multiple lines of symmetry, while others may have no symmetry at all. Irregular shapes or figures with uneven sides usually do not have symmetry. It depends on the arrangement and shape of the figure.
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