# NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 (Ex. 13.2) Symmetry in PDF file format free to use online or download free without any login. All the solutions for class 6 mathematics are updated for academic session 2020-2021.

Class 6 math exercise 13.2 is based on the concepts of number of line of symmetry in any given figure whether it is 3-D figure or 2-D figure. Take help from videos solutions, if facing problem with PDF solutions.## Class 6 Maths Chapter 13 Exercise 13.2 Solution

Class: 6 | Mathematics |

Chapter: 13 | Symmetry |

Exercise: 13.2 | Videos and PDF Solutions |

### CBSE NCERT Class 6 Maths Chapter 13 Exercise 13.2 Solution in Hindi and English Medium

### Class 6 Maths Chapter 13 Exercise 13.2 Solution in Videos

#### Symmetry of Some Figures

##### (i) Symmetry of a Line:

A line has infinite length and hence it can be considered that each line perpendicular to the given line divide the line into two equal halves (parts). So, a line has infinite number of symmetrical lines which are perpendicular to it. Also a line is symmetrical to itself.

##### (ii) Symmetry of a Line Segment:

A line segment has two lines of symmetry, namely, the segment itself and the perpendicular bisector of the segment.

##### How do you find the line of symmetry in geometry?

You can find if a shape has a Line of Symmetry by folding it. When the folded part sits perfectly on top (all edges matching), then the fold line is a Line of Symmetry.

(iii) Symmetry of an Angle:

An angle with equal arms has one line of symmetry which is along the internal bisector of the angle.

##### How many lines of symmetry are there for an angle?

In the figure there is one line of symmetry.

(iv) Symmetry of an Isosceles Triangle:

An isosceles triangle has one line of symmetry which is along the median through the vertex. Median MP is a line of symmetry of isosceles triangle. Median MP is a line of symmetry of isosceles triangle MNO.

##### How many symmetry does a triangle have?

A shape can have more than one line of symmetry. An equilateral triangle has three lines of symmetry, and isosceles triangle has one line of symmetry.

##### (v) Symmetry of an Equilateral Triangle:

An equilateral triangle has three lines of symmetry along the three medians. Medians KN, LP and MO are the lines of symmetry of equilateral triangle KLM

##### (vi) Symmetry of a Rhombus:

A rhombus has two lines of symmetry along the diagonals of the rhombus. In rhombus PQRS, diagonals PR and QS are two lines of symmetry.

##### (vii) Symmetry of a Parallelogram:

A parallelogram has no line of symmetry. Parallelogram PQRS has no line of symmetry.

##### Where are shapes and symmetry found in real life?

Real-life examples of symmetry

(i) Reflection of trees in clear water and reflection of mountains in a lake.

(ii) Wings of most butterflies are identical on the left and right sides.

(iii) Some human faces are the same on the left and right side.

(iv) People can also have a symmetrical mustache.

##### How do you find the line of symmetry in geometry?

You can find if a shape has a Line of Symmetry by folding it. When the folded part sits perfectly on top (all edges matching), then the fold line is a Line of Symmetry.

##### Which triangle has no line of symmetry?

A scalene triangle has no lines of symmetry.