NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.2
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| Textbook | NCERT |
| Board | CBSE |
| Category | NCERT Solutions |
| Class | Class 7 |
| Subject | Maths |
| Chapter | Chapter 14 |
| Exercise | Symmetry Exercise 14.2 |
| Number of Questions Solved | 2 |
NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.2
NCERT TEXTBOOK EXERCISES
Question 1. Which of the following figures have rotational symmetry of order more than 1?
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 :
Solution:
(a) → 2
(b) → 2
(c) → 3
(d) → 4
(e) → 4
(f) → 5
(g) → 6
(h) → 3
Mark a point P as shown in figure (i). We see that in a full turn, there are two positions (on rotation through the angles 180° and 360°) when the figure looks exactly the same. Because of this, it has rotational symmetry of order 2.
Mark a point P as shown in figure (i). We see that in a full turn, there are two positions (on rotation through the angles 180° and 360°) when the figure looks exactly the same.
Because of this, it has rotational symmetry of order 2.
Mark a point P as shown in figure (i). We see that in a full turn, there are three positions (on rotation through the angles 120°, 240°, and 360°) when the figure looks exactly the same. Because of this, it has rotational symmetry of order 3.
Mark a point P as shown in figure (i). We see that in a full turn, there are four positions (on rotation through the angles 90°, 180°, 270°, and 360°) when the figure looks exactly the same. Because of this, we say that it has rotational symmetry of order 4.
Similarly,
(e) In a full turn, there are four positions (on rotation through the angles 90°, 180°, 270°, and 360°) when the figure looks exactly the same.
∴ It has rotational symmetry of order 4.
(f) The figure is a regular pentagon. In a full turn, there are five positions (on rotation through the angles 72°, 144°, 216°, 288°, and 360°) when the figure looks exactly the same.
∴ It has rotational symmetry of order 5.
(g) In a full turn, there are six positions (on rotation through the angles 60°, 120°, 180°, 240°, 300°, and 360°) when the figure looks exactly the same.
It has rotational symmetry of order 6.
(h) In a full turn, there are three positions (on rotation through the angles 120°, 240°, and 360°) when the figure looks exactly the same.
∴ It has rotational symmetry of order 3.
NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.2 PDF
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