NCERT Solutions - Symmetry Class 6 Notes | EduRev

Mathematics (Maths) Class 6

Created by: Praveen Kumar

Class 6 : NCERT Solutions - Symmetry Class 6 Notes | EduRev

The document NCERT Solutions - Symmetry Class 6 Notes | EduRev is a part of the Class 6 Course Mathematics (Maths) Class 6.
All you need of Class 6 at this link: Class 6

Exercise 13.1

Question 1:

List any four symmetrical objects from your home or school.

Answer 1: 

Notebook, Blackboard, Glass, Inkpot.


Question 2:

For the given figure, which one is the mirror line, NCERT Solutions - Symmetry Class 6 Notes | EduRev?

NCERT Solutions - Symmetry Class 6 Notes | EduRev

Answer 2: 

l2 is the mirror line as both sides of the lines are symmetric.


Question 3:

Identify the shapes given below. Check whether they are symmetric or not. Draw the line of symmetry as well.

(a) NCERT Solutions - Symmetry Class 6 Notes | EduRev

(b)  NCERT Solutions - Symmetry Class 6 Notes | EduRev

(c)  NCERT Solutions - Symmetry Class 6 Notes | EduRev

(d)  NCERT Solutions - Symmetry Class 6 Notes | EduRev

(e)  NCERT Solutions - Symmetry Class 6 Notes | EduRev

(f)  NCERT Solutions - Symmetry Class 6 Notes | EduRev

Answer 3

(a) Symmetric NCERT Solutions - Symmetry Class 6 Notes | EduRev

(b) Symmetric  NCERT Solutions - Symmetry Class 6 Notes | EduRev

(c) Not symmetric  NCERT Solutions - Symmetry Class 6 Notes | EduRev

(d) Symmetric  NCERT Solutions - Symmetry Class 6 Notes | EduRev

(e) Symmetric  NCERT Solutions - Symmetry Class 6 Notes | EduRev

(f) Symmetric  NCERT Solutions - Symmetry Class 6 Notes | EduRev


Question 4:

Copy the following on a squared paper. A square paper is what you would have used in your arithmetic notebook in earlier classes. Then complete them such that the dotted line is the line of symmetry.

NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev

Answer 4:

NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev


Question 5:

In the figure, l is the line of symmetry.

Complete the diagram to make it symmetric.

NCERT Solutions - Symmetry Class 6 Notes | EduRev

Answer 5:

NCERT Solutions - Symmetry Class 6 Notes | EduRev


Question 6: 

In the figure, l is the line of symmetry. Draw the image of the triangle and complete the diagram, so that it becomes symmetric.

NCERT Solutions - Symmetry Class 6 Notes | EduRev

Answer 6 :

NCERT Solutions - Symmetry Class 6 Notes | EduRev


Exercise 13.2 

Question 1:
Find the number of lines of symmetry for each of the following shapes:

NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev

Answer 1: 

(a) 4

(b) 4

(c) 4

(d) 1

(e) 6

(f) 4

(g) 0

(h) 0

(i) 3


Question 2: 

Copy the triangle in each of the following figures on squared paper. In each case, draw the line(s) of symmetry, if any and identify the type of triangle. (Some of you may like to trace the figures and try paper-folding first!)

(a) 

NCERT Solutions - Symmetry Class 6 Notes | EduRev

(b) 

NCERT Solutions - Symmetry Class 6 Notes | EduRev

(c) 

NCERT Solutions - Symmetry Class 6 Notes | EduRev

(d) 

NCERT Solutions - Symmetry Class 6 Notes | EduRev

Answer 2:

NCERT Solutions - Symmetry Class 6 Notes | EduRev

(a) l1 is the line of symmetry.

(b) l1 is the line of symmetry.

(c) l1 is the line of symmetry.

(d) No line of symmetry.

Question 3:

Complete the following table. 

Shape

Rough figure

No. of lines of symmetry

Equilateral triangle

NCERT Solutions - Symmetry Class 6 Notes | EduRev

3

Square  
Rectangle  
Isosceles triangle  
Rhombus  
Circle  

Answer 3:

ShapeRough figureNo. of lines of symmetry
Equilateral triangleNCERT Solutions - Symmetry Class 6 Notes | EduRev3
SquareNCERT Solutions - Symmetry Class 6 Notes | EduRev4
RectangleNCERT Solutions - Symmetry Class 6 Notes | EduRev2
Isosceles triangleNCERT Solutions - Symmetry Class 6 Notes | EduRev1
RhombusNCERT Solutions - Symmetry Class 6 Notes | EduRev2
CircleNCERT Solutions - Symmetry Class 6 Notes | EduRevInfinite


Question 4:

Can you draw a triangle which has

(a) exactly one line of symmetry?

(b) exactly two lines of symmetry?

(c) exactly three lines of symmetry?

(d) no lines of symmetry?

Sketch a rough figure in each case.

Answer 4:
(a) Yes, Isosceles triangle

NCERT Solutions - Symmetry Class 6 Notes | EduRev

(b) No such triangle cannot be formed.

(c) Yes, Equilateral triangle

NCERT Solutions - Symmetry Class 6 Notes | EduRev

(d) Yes, Scalene triangle

NCERT Solutions - Symmetry Class 6 Notes | EduRev


Question 5:

On a squared paper, sketch the following:

(a) A triangle with a horizontal line of symmetry but no vertical line of symmetry.

(b) A quadrilateral with both horizontal and vertical lines of symmetry.

(c) A quadrilateral with a horizontal line of symmetry but no vertical line of symmetry.

(d) A hexagon with exactly two lines of symmetry.

(e) A hexagon with six lines of symmetry.

(Hint: It will be helpful if you first draw the lines of symmetry and then complete the figures.)

Answer 5: 

(a)

NCERT Solutions - Symmetry Class 6 Notes | EduRev

(b)

NCERT Solutions - Symmetry Class 6 Notes | EduRev

(c) 

NCERT Solutions - Symmetry Class 6 Notes | EduRev

(d) 

NCERT Solutions - Symmetry Class 6 Notes | EduRev

(e) 

NCERT Solutions - Symmetry Class 6 Notes | EduRev


Question 6:

Trace each figure and draw the lines of symmetry, if any:

NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev

Answer 6:

(a) No line

NCERT Solutions - Symmetry Class 6 Notes | EduRev

(b) Two lines

NCERT Solutions - Symmetry Class 6 Notes | EduRev

(c) Four lines

NCERT Solutions - Symmetry Class 6 Notes | EduRev

(d) Two lines

NCERT Solutions - Symmetry Class 6 Notes | EduRev

(e) One line 

NCERT Solutions - Symmetry Class 6 Notes | EduRev

(f) Four lines

NCERT Solutions - Symmetry Class 6 Notes | EduRev


Question 7:

Consider the letters of English alphabet, A to Z. List among them the letters which have

NCERT Solutions - Symmetry Class 6 Notes | EduRev

(a) vertical lines of symmetry (like A)

(b) horizontal lines of symmetry (like B)

(c) no lines of symmetry (like Q)

Answer 7: 

Vertical lines: A, H, I, M, O, T, U, V, W, X, Y

Horizontal lines: B, C, D, E, H, I, K, O, X

No line of symmetry: F, G, J, N, P, Q, R, S, Z


Question 8:

Given here are figures of a few folded sheets and designs drawn about the fold. In each case, draw a rough diagram of the complete figure that would be seen when the design is cut off.

NCERT Solutions - Symmetry Class 6 Notes | EduRevNCERT Solutions - Symmetry Class 6 Notes | EduRev

Answer 8:

NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev


Exercise 13.3 

Question 1:

Find the number of lines of symmetry in each of the following shapes. How will you check your answers?

(a) 

NCERT Solutions - Symmetry Class 6 Notes | EduRev

(b) 

NCERT Solutions - Symmetry Class 6 Notes | EduRev

(c)  

NCERT Solutions - Symmetry Class 6 Notes | EduRev

(d) 

NCERT Solutions - Symmetry Class 6 Notes | EduRev

(e) 

NCERT Solutions - Symmetry Class 6 Notes | EduRev

(f)  

NCERT Solutions - Symmetry Class 6 Notes | EduRev

Answer 1:

NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev


Question 2:

Copy the following drawing on squared paper. Complete each one of them such that the resulting figure has two dotted lines as two lines of symmetry.

How did you go about completing the picture?

NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev

How did you go about completing the picture?

Answer 2:

NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev
NCERT Solutions - Symmetry Class 6 Notes | EduRev


Question 3:

In each figure below, a letter of alphabet is shown along with a vertical line. Take the mirror image of the letter in the given line. Find which letters look the same after reflection (i.e., which letters look the same in the image) and which do not. Can you guess why?

 

NCERT Solutions - Symmetry Class 6 Notes | EduRev

Answer 3:

Same after reflection NCERT Solutions - Symmetry Class 6 Notes | EduRev

Different after reflection NCERT Solutions - Symmetry Class 6 Notes | EduRev

Same after reflection  NCERT Solutions - Symmetry Class 6 Notes | EduRev

Different after reflection  NCERT Solutions - Symmetry Class 6 Notes | EduRev

Different after reflection  NCERT Solutions - Symmetry Class 6 Notes | EduRev

Same after reflection  NCERT Solutions - Symmetry Class 6 Notes | EduRev

Different after reflection NCERT Solutions - Symmetry Class 6 Notes | EduRev

Same after reflection NCERT Solutions - Symmetry Class 6 Notes | EduRev

Different after reflection NCERT Solutions - Symmetry Class 6 Notes | EduRev

Same after reflection NCERT Solutions - Symmetry Class 6 Notes | EduRev

Same after reflection NCERT Solutions - Symmetry Class 6 Notes | EduRev

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