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Chapter: 6th Maths : Term 3 Unit 4 : Symmetry

Exercise 4.2

6th Maths : Term 3 Unit 4 : Symmetry : Exercise 4.2 : Miscellaneous Practice Problems, Challenge Problems, Text Book Back Exercises Questions with Answers, Solution

Exercise 4.2

 

Miscellaneous Practice Problems

 

1. Draw and answer the following.

i) A triangle which has no line of symmetry


Scalene triangle

ii) A triangle which has only one line of symmetry


Isosceles triangle

iii) A triangle which has three lines of symmetry


Equilateral triangle

 

2. Find the alphabets in the box which have


i) No line of symmetry

Answer: P, N, S, Z

ii) Rotational symmetry

Answer: I, O, N, X, S, H, Z

iii) Reflection symmetry

Answer: A, M, E, D, I, K, O, X, H, U, V, W

iv) Reflection and rotational symmetry

Answer: I, O, X, H 

 

3. For the following pictures, find the number of lines of symmetry and also find the order of rotation.


Answer:

 

 

4. The three digit number 101 has rotational and reflection symmetry. Give five more examples of three digit numbers which have both rotational and reflection symmetry.

Answer: 181, 111, 808, 818, 888

 

5. Translate the given pattern and complete the design in rectangular strip?


Answer: 


 

Challenge Problems

 

6. Shade one square so that it possesses


i) One line of symmetry

Answer: 


ii) Rotational symmetry of order 2

Answer: 


 

7. Join six identical squares so that atleast one side of a square fits exactly with any other side of the square and have reflection symmetry (any three ways).

Answer: 


 

8. Draw the following :

i) A figure which has reflection symmetry but no rotational symmetry.

ii) A figure which has rotational symmetry but no reflection symmetry.

iii) A figure which has both reflection and rotational symmetry.

Answer: 


 

 

9. Find the line of symmetry and the order of rotational symmetry of the given regular polygons and complete the following table and answer the questions given below.



i) A regular polygon of 10 sides will have 10 lines of symmetry.

ii) If a regular polygon has 10 lines of symmetry, then its order of rotational symmetry is 10.

iii) A regular polygon of 'n' sides has n lines of symmetry and the order of rotational symmetry is n.

 

10. Colour the boxes in such a way that it posseses translation symmetry.


Answer: 


 

ANSWERS:

Exercise 4.2

1. i) Scalene triangle ii) Isosceles triangle iii) Equilateral triangle

2. i) P, N, S, Z ii) I, O, N, X, S, H, Z iii) A, M, E, D, I, K, O, X, H, U, V, W iv) I, O, X, H

3. i) 0, 2 ii) 1, 0 iii) 2, 2 iv) 8, 8 v) 1, 0

4. |8|, |||, 808, 8l8, 888

5. 

6. 

7. 

8. 

9. i) 10 ii) 10 iii) n, n

10. 


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6th Maths : Term 3 Unit 4 : Symmetry : Exercise 4.2 | Questions with Answers, Solution | Symmetry | Term 3 Chapter 4 | 6th Maths


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