# 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:

Rotational symmetry:

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

Line symmetry:

Rotational symmetry:

(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

Rotational symmetry