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 **

**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. **

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

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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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