Class 6 - Maths - Symmetry

                                                                     Exercise 13.1

Question 1:

List any four symmetrical from your home or school.

Answer:

Notebook, Blackboard, Glass, Inkpot.

Question 2:

For the given figure, which one is the mirror line, l1 or l2?

          Class_6_Symmetry_Symmetrical_Image                                             

Answer:

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.

          Class_6_Symmetry_Symmetrical_Images_1                  

Answer:

(a) Symmetric

                 Class_6_Symmetry_Lock_Is_Symmetrical                                          

(b) Symmetric

                        Class_6_Symmetry_Tumbler_Is_Symmetrical                             

(c) Not Symmetric

                     Class_6_Symmetry_Pipe_Is_Not_Symmetrical                                   

(d) Symmetric

                                                    

 Class_6_Symmetry_Telephone_Is_Symmetrical

(e) Symmetric

                 Class_6_Symmetry_Figure_Is_Symmetrical                                   

(f) Symmetric

     Class_6_Symmetry_Pentagon_Is_Symmetrical                                                     

Question 4:

Copy the following on a square 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.

               Class_6_Symmetry_Completing_Line_Of_Symmetry    

Answer:

To make the dotted line as the line of symmetry, the given figures can be drawn as follows:

                            

               Class_6_Symmetry_Completing_Line_Of_Symmetry_1          

Question 5:

In the figure, l is the line of symmetry. Complete the diagram to make it symmetric.

   Class_6_Symmetry_Completing_Line_Of_Symmetry_2                                        

Answer:

To make the diagram symmetric, it can be completed as follows:

     Class_6_Symmetry_Completing_Line_Of_Symmetry_3                                         

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.

         Class_6_Symmetry_Completing_Line_Of_Symmetry_4                                                    

Answer:

The required triangle can be formed as follows:

                                          

      Class_6_Symmetry_Completing_Line_Of_Symmetry_5                                                                         

 

 

                                                        Exercise 13.2

Question 1:

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

 Class_6_Symmetry_Completing_Line_Of_Symmetry_6

                     

 

Answer:

(a) There are 4 lines of symmetry for the given figure.

(b) There are 4 lines of symmetry for the given figure.

(c) There are 4 lines of symmetry for the given figure.

(d) There is one line of symmetry for the given figure.

(e) There are 6 lines of symmetry for the given figure.

(f) There are 6 lines of symmetry for the given figure.

(g) There is no line of symmetry for the given figure.

(h) There is no line of symmetry for the given figure.

(i) There are 3 lines of symmetry for the given figure.

 

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!)

    Class_6_Symmetry_Completing_Line_Of_Symmetry_In_A_Triangle                            

Answer:

    Class_6_Symmetry_Completing_Line_Of_Symmetry_In_A_Triangle1                      

(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:

      Class_6_Symmetry_Determing_Line_Of_Symmetry        

Answer:

   Class_6_Symmetry_Determing_Line_Of_Symmetry_1           

 

 Class_6_Symmetry_Determing_Line_Of_Symmetry_2

              

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:

(a) Yes, Isosceles triangle

 Class_6_Symmetry_Isosceles_Triangle

(b) No. Such triangle cannot be formed.

(c) Yes, Equilateral triangle

      Class_6_Symmetry_Equilateral_Triangle                                                    

(d) Yes, Scalene triangle

         Class_6_Symmetry_Scalene_Triangle                                                   

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 with 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:

(a) 

Class_6_Symmetry_Triangle_Line_Of_Symmetry 

 

 

(b)

      Class_6_Symmetry_Quadrilateral_Line_Of_Symmetry_1                                       

(c)

          Class_6_Symmetry_Quadrilateral_Line_Of_Symmetry                                                  

(d)

    Class_6_Symmetry_Pentagon_Line_Of_Symmetry                                             

(e)

  Class_6_Symmetry_Hexagon_Line_Of_Symmetry                                               

 

Question 6:

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

   Class_6_Symmetry_Tracing_Line_Of_Symmetry1                                   

Class_6_Symmetry_Tracing_Line_Of_Symmetry                       

                    

Answer:

(a) No line

            Class_6_Symmetry_No_Line_Of_Symmetry                                           

 

 

(b) Two Lines

          Class_6_Symmetry_2_Lines_of_Symmetry_1                                      

(c) Four Lines

      Class_6_Symmetry_4_Lines_of_Symmetry_1                                         

(d) Two Lines

      Class_6_Symmetry_2_Lines_of_Symmetry                                        

(e) One Line

          Class_6_Symmetry_1_Line_of_Symmetry                                        

(f) Four Lines

      Class_6_Symmetry_4_Lines_of_Symmetry                                              

Question 7:

Consider the letters of English alphabets A to Z. List among them the letters which have:

(a) Vertical lines of symmetry (like A)

(b) Horizontal lines of symmetry (like B)

(c) No lines of symmetry (like Q)

Class_6_Symmetry_Line_of_Symmetry_5

Answer:

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.

             Class_6_Symmetry_Line_of_Symmetry_4                      

 Answer:

   Class_6_Symmetry_Line_of_Symmetry_2

 Class_6_Symmetry_Line_of_Symmetry_3

 

 

                                                                 Exercise 13.3

Question 1:

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

               Class_6_Symmetry_Line_of_Symmetry_1     

Answer:

    Class_6_Symmetry_Line_of_Symmetry                    

 

 

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.

      Class_6_Symmetry_Completing_The_Picture1                

How did you go about completing the picture?

Answer:

    Class_6_Symmetry_Completing_The_Picture                         

 

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?

                  Try for

Class_6_Symmetry_Symmetry_Of_Alphabets

Answer:

Same after reflection

                                                  

 Class_6_Symmetry_After_Reflection_O

 

Different after reflection

                                                     

 Class_6_Symmetry_After_Reflection_E

 

Same after reflection

 Class_6_Symmetry_After_Reflection_M

  Different after reflection

                                Class_6_Symmetry_After_Reflection_N                         

Different after reflection

                               Class_6_Symmetry_After_Reflection_P                             

Same after reflection

                  Class_6_Symmetry_After_Reflection_H                                          

Different after reflection

                         Class_6_Symmetry_After_Reflection_L                                 

Same after reflection

                    Class_6_Symmetry_After_Reflection_T                                    

Different after reflection

                 Class_6_Symmetry_After_Reflection_S                                        

Same after reflection

             Class_6_Symmetry_After_Reflection_V                                           

Same after reflection

                                                        

 Class_6_Symmetry_After_Reflection_X

Share this with your friends  

Download PDF


You can check our 5-step learning process


.