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NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.2

CBSE students can refer to NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.2 Textbook Questions and Answers are provided by experts in order to help students secure good marks in exams.

Class 7 Maths NCERT Solutions Chapter 14 Symmetry Ex 14.2

Question 1.
Which of the following figures have rotational symmetry of order more than 1:
(a)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 137
(b)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 138
(c)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 139
(d)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 140
(e)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 141
(f)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 142
Solution:
Figures (a), (b), (d), (e), and (f) have rotational symmetry of order more than 1.

Question 2.
Give the order of rotational symmetry for each figure :
(a)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 143
Solution:
Let us mark a point A on each figure and also indicate the angle through which the figure is to be rotated as under :
NCERT Solutions for Class 7 maths Algebraic Expreesions img 151

(b)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 144
Solution:
Let us mark a point A on each figure and also indicate the angle through which the figure is to be rotated as under :
NCERT Solutions for Class 7 maths Algebraic Expreesions img 152

(c)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 145
Solution:
Let us mark a point A on each figure and also indicate the angle through which the figure is to be rotated as under :
NCERT Solutions for Class 7 maths Algebraic Expreesions img 153

(d)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 146
Solution:
Let us mark a point A on each figure and also indicate the angle through which the figure is to be rotated as under :
NCERT Solutions for Class 7 maths Algebraic Expreesions img 154

(e)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 148
Solution:
Let us mark a point A on each figure and also indicate the angle through which the figure is to be rotated as under :
NCERT Solutions for Class 7 maths Algebraic Expreesions img 156

(f)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 149
Solution:
Let us mark a point A on each figure and also indicate the angle through which the figure is to be rotated as under :
NCERT Solutions for Class 7 maths Algebraic Expreesions img 157

(g)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 147
Solution:
Let us mark a point A on each figure and also indicate the angle through which the figure is to be rotated as under :
NCERT Solutions for Class 7 maths Algebraic Expreesions img 155

(h)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 150
Solution:
Let us mark a point A on each figure and also indicate the angle through which the figure is to be rotated as under :
NCERT Solutions for Class 7 maths Algebraic Expreesions img 158

Now to find the rotational symmetry, we proceed as under :

In figure (a): it requires two rotations, each through an angle of 180°, about the marked point (x) to come back to its original position. So, its rotational symmetry is of order 2.

In figure (b): It requires two rotations, each through an angle of 180°, about the marked point (x) to come back to its original position. So, its rotational symmetry is of order 2.

In figure (c): The triangle requires three rotations, each through an angle of 120° about the marked point to come back to its original position. So, it has rotational symmetry of order 3.

In figure (d): The figure requires four rotations, each through an angle of 90°, about the marked point (x) to come back to its original position. So, its rotational symmetry is of order 4.

n figure (e): The figure requires four rotations, each through an angle of 90°, about the marked point (x) to come back to its original position. So, its rotational symmetry is of order 4.

In figure (f): The regular pentagon requires five rotations, each through an angle of 72°, about the marked point to come back to its original position. So, it has rotational symmetry of order 5.

In figure (g): The figure requires six rotations, each through an angle of 60°, about the marked point to come back to its original position. So, it has rotational symmetry of order 6.

In figure (h): The figure requires three rotations each through an angle of 120°, about the marked point to come back to its original position. So, it has rotational symmetry of order 3.

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