NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.2

NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.2

NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.2

NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Exercise 14.2
Ex 14.2 Class 7 Maths Question 1.
Which of the following figures have rotational symmetry of order more than 1?

NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.2 1
Solution:
The figure (a), (b), (d), (e) and (f) have rotational symmetry more than 1.

Question 2.
Give the order of rotational symmetry for each figure:
NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.2 2
Solution:
NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.2 3
Let us take a point S on one end of the given figure. Rotating by 180°, S comes at other end and then again rotating by 180°, it comes at its original position.
∴ Order of rotational symmetry = 360∘/180=2

NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.2 4
Let us take any point S in figure (1). It takes two rotations to come back to its original position.
∴ Order of rotational symmetry = 360∘/180=2

NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.2 5
Let us mark any vertex of the given figure. It takes three rotations to come back to its original shape.
∴ Order of rotational symmetry = 360∘/120=3

NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.2 6
Order of rotational symmetry = 360∘/90=4

NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.2 7

NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.2 8
∴ Order of rotational symmetry = 360∘/90=4

(f) The given figure is a regular pentagon which can take one rotation at an angle of 72°.
∴ Order of rotational symmetry = 360∘/72=5

(g) The given figure requires six rotations each through an angle of 60°
∴ Order of rotational symmetry = 360∘/60=6

(h) The given figure requires three rotations, each through an angle of 120°.
∴ Order of rotational symmetry = 360∘/120=3

NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.2 Q1

NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.2 Q1.1

NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.2 Q2

NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.2 Q2.1

NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.2 Q2.2

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