NCERT Solutions for Class 7 Maths Chapter 14 Exercise 14.1

NCERT Solutions for Class 7 Maths Chapter 14 Exercise 14.1 (Ex. 14.1) Symmetry updated for academic session 2021-2022 free to use. All the solutions are available in PDF and Videos format based on latest NCERT books issued for 2021-22.

In class 7 math exercise 14.1 we will learn to draw or find the axis of symmetry in geometrical figures. All the questions are interesting to do and easy to understand.

Class 7 Maths Chapter 14 Exercise 14.1 Solution

Class: 7Mathematics
Chapter: 14Symmetry
Exercise: 14.1PDF and Videos Solution




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Symmetry

Symmetry is an important geometrical concept which is used in every field of activity. The professionals, artist, architects and many other make use of the concept of symmetry. The shapes which are evenly balanced and are in perfect proportion are said to be in symmetry.

Line of Symmetry

If there is a line about which the figure may be folded so that two parts of figure will coincide, then the line so formed by folding the figure is called line of symmetry.

The line of symmetry is also known as axis of symmetry.

The concept of line of symmetry is closely related to the reflection in mirror. If we place a mirror along the line of symmetry, then the image of one side of the figure is exactly same as the figure on other side of the line of symmetry. This is the reason why the line of symmetry of a figure is also called reflection symmetry.

Examples:
1. A line segment is symmetrical about its perpendicular bisector.
2. A given angle having equal arms is symmetrical about the bisector of the angle.
3. An isosceles triangle is symmetrical about the bisector of the angle included between the equal sides.
4. Let ABCD be a kite in which AB = AD and BC = DC. Then, kite ABCD is symmetrical about the diagonal AC
5. A semicircle ABC has on line of symmetry, namely the perpendicular bisector of diameter AB.
6. Let ABCD be an isosceles trapezium in which AB PDC and AD = BC. Let E and F be the midpoints of AB and DC respectively.

7. A rectangle has two lines of symmetry, each one of which is the line joining the midpoints of opposite sides.
8. A rhombus is symmetrical about each one of its diagonals.
9. A square has 4 lines of symmetry, namely, the diagonals and the lines joining the midpoints of its opposite sides.
10. An equilateral triangle is symmetrical about each one of the bisectors of its interior angles.
11. A circle is symmetrical about each one of its diameters.

How is symmetry important in everyday life?

Symmetry is something that we observe in many places in our daily lives without even noticing it. It is easily noticeable in various arts, buildings, and monuments. Nature uses symmetry to make things beautiful. Symmetry in everyday refers to a sense of harmonious and beautiful proportion and balance.

Which triangle has no line of symmetry?

A scalene triangle is a triangle with no lines of symmetry while an isosceles triangle has at least one line of symmetry and an equilateral triangle has three lines of symmetry.

What shape has the greatest lines of symmetry?

A shape can have more than one line of symmetry. Thus a rectangle has two lines of symmetry, an equilateral triangle has three lines of symmetry, and a square has four. A circle has an infinite number of lines of symmetry since it can be folded about any diameter.

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