Haryana State Board HBSE 7th Class Maths Solutions Chapter 14 Symmetry Ex 14.3 Textbook Exercise Questions and Answers.
Haryana Board 7th Class Maths Solutions Chapter 14 Symmetry Exercise 14.3
Question 1.
Name any two figures that have both line symmetry and rotational symmetry.
Solution:
The alphabet letters H and 0 both have line symmetry and rotational symmetry.
Question 2.
Draw, wherever possible, a rough sketch of:
(i) a triangle with both line and rotational symmetries of order more than 1.
(ii) a triangle with only line symmetry and no rotational symmetry of order more than 1.
(iii) a quadrilateral with a rotational symmetry of order more than 1 but not a line symmetry.
(iv) a quadrilateral with line symmetry but not a rotational symmetry of order more than 1.
Solution:
Question 3.
If a figure has two or more lines of symmetry, should it have rotational symmetry of order more than 17.
Solution:
It has two lines of symmetry and rotational symmetry of order 2.
Question 4.
Fill the blanks :
Solution:
Question 5.
Name the quadrilateral which have both line and rotational symmetry of order more than 1.
Solution:
Square is both line and rotational symmetry.
Hence, order of rotation 4.
Question 6.
After rotation by 60° about a centre, a figure looks exactly the same as its original position. At what other angles will this happen for the figure?
Solution:
This figure is circle.
Centre of Rotation = 1
Order of Rotation = Infinite
Angle of Rotation = Nil.
Question 7.
Can we have a rotational symmetry of order more than 1 whose angle of rotation is :
(i) 45° ? (ii) 17° ?
Solution:
(i) Yes, e.g., square.
(ii) No.