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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.

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 rotational symmetry of order more than 1.

Solution:

(i) An equilateral triangle has both line and rotational symmetry of order more than 1.

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 rotational symmetry of order more than 1

(ii) An isosceles triangle has only one-line symmetry and no rotational symmetry of order more than 1.

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 rotational symmetry of order more than 1

(iii) A quadrilateral with a line symmetry may have rotational symmetry of order one but not more than one. Hence, it is not possible to draw.

(iv) A trapezium is a quadrilateral that has only one line of symmetry but not rotational symmetry of order more than 1.

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 rotational symmetry of order more than 1

☛ Check: NCERT Solutions for Class 7 Maths Chapter 14

Video Solution:

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 rotational symmetry of order more than 1.

Maths NCERT Solutions Class 7 Chapter 14 Exercise 14.3 Question 2

Summary:

(i) An equilateral triangle has both line and rotational symmetry of order more than 1, (ii) An isosceles triangle has only one- line symmetry and no rotational symmetry of order more than 1, (iii) A quadrilateral with a line symmetry may have rotational symmetry of order one but not more than one. Hence, it is not possible to draw, (iv) A  trapezium is a quadrilateral which has only one line of symmetry but not rotational symmetry of order more than 1.

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