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.
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