KSEEB Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.2
KSEEB Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.2
Karnataka State Syllabus Class 7 Maths Chapter 14 Symmetry Ex 14.2
Question 1.
Which of the following figures have rotational symmetry of order more than 1:
Solution:
(a), (b), (d), (e), and (f) because these objects look exactly the same more than 1 number of times in a complete turn.
Question 2.
Give the order of rotational symmetry for each figure :
Solution:
fig a has order 2
a) This object while rotating at two positions 180° and 360° it looks exactly the same. Therefore it has rotational symmetry of order 2.
b) This object in full turn, these are two positions 180° and 360° it looks exactly the same. Therefore it has rotational symmetry of order 2.
fig b has order 2
c) This object while rotating there are three positions 120° and 240° and 360° the object looks exactly the same. Therefore it has rotational symmetry of order 3. fig c has order 3
d) In full turn, this object will rotate and three are four positions such as 90°, 180° 270°, and 360° the figure looks exactly the same. Therefore it has rotational symmetry of order 4.
e) In a full turn, this object will rotate and there are four positions such as 90°, 180° 270°, and 360°, the figure looks exactly the same. Therefore it has rotational symmetry of order 4.
fig e has order 4
f) The figure is a regular pentagon. In a full turn are five positions at 72°, 144°, 216°, 288°, and 360° the figure looks exactly the same. Therefore it has rotational symmetry of order 5.
fig f has order 5
g) In a full turn, there are 6 positions. i.e., 60°, 120°, 180°, 240°, 300°, and 360° the figure looks exactly the same. Therefore it has rotational symmetry of order 6.
fig g has order 6
h) This figure while rotating there are 3 positions the figure looks exactly the same at 120°, 240°, and 360°. Therefore it has rotational symmetry of order 3.
fig h has order 3
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