NCERT Class 7 Mathematics Solutions: Chapter 14 – Symmetry Exercise 14.3 Part 1

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1. Name any two figures that have both line symmetry and rotational symmetry.

Answer:

Circle and Square both have line symmetry and rotational symmetry

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.

Answer:

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

Line symmetry:

An Equilateral Triangle Are Given

An equilateral triangle has both line and rotational symmetries of order more than 1

Rotational symmetry:

Rotational Symmetry of Equilateral Triangle

Rotational symmetry of equilateral triangle

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

Line symmetry:

An Isosceles Triangle Has Only One Line of Symmetry

An isosceles triangle has only one line of symmetry and no rotational symmetry of order more than 1

Rotational symmetry:

Rotational Symmetry of an Isosceles Triangle

Rotational symmetry of an isosceles triangle

(iii) It is not possible because order of rotational symmetry is more than 1 of a figure, most ascertain the line of symmetry.

(iv) A trapezium which has equal non-parallel sides, a quadrilateral with line symmetry but not a rotational symmetry of order more than 1.

Line symmetry

A Trapezium Which Has Equal Non-Parallel Sides

A trapezium which has equal non-parallel sides, a quadrilateral with line symmetry but not a rotational symmetry of order more than 1.

Rotational symmetry

Rotational Symmetry of a Trapezium

Rotational symmetry of a trapezium