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: 6Mathematics
Chapter: 13Symmetry
Exercise: 13.2Videos and PDF Solutions

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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.

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2
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