# NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.1

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.1 (Ex. 13.1) Symmetry in Hindi and English Medium updated for CBSE academic session 2021-2022. Along with the PDF solutions, the video solutions are also given to help the students.

Class 6 math exercise 13.1 contains the questions related to symmetric figures and based on the concept of line of symmetry. Questions are easy but tricky for a student of standard 6.## Class 6 Maths Chapter 13 Exercise 13.1 Solution

### CBSE NCERT Class 6 Maths Chapter 13 Exercise 13.1 Solution in Hindi and English Medium

Class: 6 | Mathematics |

Chapter: 13 | Symmetry |

Exercise: 13.1 | NCERT Book’s Solutions |

### Class 6 Maths Chapter 13 Exercise 13.1 Solution in Videos

#### Symmetry

In Mathematics, the meaning of symmetry is that one shape is exactly like the other shape when it is moved, rotated, or flipped.

Note: If a line divides a given figure into two identical halves, then we say that the given figure is symmetrical about that line and the line is called the axis of symmetry or line of symmetry.

For example, two congruent triangles are symmetric.

Which shape has only one line of symmetry?

A kite has one line of symmetry.

##### Symmetrical Figures with Two Lines of Symmetry

Let us take a rectangular sheet of paper (like a postcard). Fold it once length-wise, so that one half fits exactly over the other half. Clearly, this fold line is the line of symmetry. Now open it up and again fold it once breadth-wise, in the same way. The second fold line is also a line of symmetry. Thus, a rectangle has two lines of symmetry.

Each of the following letters from English alphabet has two lines of symmetry. They are symmetrical about the dotted lines.

H, I, O, X

##### Figures with More Than Two Lines of Symmetry

Let us take a square piece of paper. Fold it into half vertically and then fold it again into half horizontally. Open out the folds. You will get two lines of symmetry, one horizontal and one vertical. Now, fold the paper into half along a diagonal. Open it and fold it into half along the other diagonal. Open out the fold. Now you will get two more lines of symmetry one along each diagonal. Thus, a square has four lines of symmetry as shown below.

### Class 6 Maths Exercise 13.1 Important Questions

##### Which letters have more than 2 lines of symmetry?

M has one line of symmetry, and H, I, and O have 2 lines of symmetry.

##### How is symmetry used in everyday life?

Real-life examples of symmetry

Reflection of trees in clear water and reflection of mountains in a lake. Wings of most butterflies are identical on the left and right sides. Some human faces are the same on the left and right side. People can also have a symmetrical mustache.

##### How many types of symmetry are there?

There are three types of symmetry: reflection (bilateral), rotational (radial), and translational symmetry.

##### What are the 3 lines of symmetry?

The division of triangles into scalene, isosceles, and equilateral can be thought of in terms of lines 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.

##### Why do we need symmetry?

Symmetry is a fundamental part of geometry, nature, and shapes. It creates patterns that help us organize our world conceptually. We see symmetry every day but often don’t realize it. People use concepts of symmetry, including translations, rotations, reflections, and tessellations as part of their careers.