# NCERT Solutions for Class 7 Maths Chapter 14

NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Exercise 14.1, Exercise 14.2 and Exercise 14.3 in English Medium or प्रश्नावली 14.1, प्रश्नावली 14.2

2 and प्रश्नावली14.3 in हिंदी मीडियम to study online or download in PDF Form. All the solutions are updated for new academic session 2020-21 following the latest NCERT Books 2020-2021.

## NCERT Solutions for Class 7 Maths Chapter 14

 Class: 7 Subject: Maths – गणित Chapter 14: Symmetry

### 7 Maths Chapter 14 Solutions

Class 7 Maths Chapter 14 Symmetry all exercises solutions are given below in updated form. Download NCERT Solutions for 2020-2021 and Offline apps for the new session 2020-21.

• ### 7 Maths Chapter 14 All Exercises in Hindi Medium

#### About NCERT Solutions for Class 7 Maths Chapter 14

In 7 Maths Chapter 14 Symmetry, we will study about Line of symmetry for regular polygons like equilateral triangle, square, regular pentagon, hexagon, etc., calculating the number of lines of symmetry for the different figures like an equilateral triangle, an isosceles triangle, a scalene triangle, a square, a rectangle, a rhombus, a parallelogram, a regular hexagon, a circle, etc. Here, we also study about rotational symmetry like fan and other rotating objects. Consider the following terms regarding rotational symmetry:
1. Angle of Rotation: The angle of turning during rotation is called the angle of rotation. A full turn means a rotation of 360°, the degree measure of the angle of rotation for a half-turn is 180° and for a a quarter-turn is 90°.
2. Centre of Rotation: When an object rotates, its shape and size do not change. The rotation turns an object about a fixed point. This fixed point is the centre of rotation.
Some shapes have only one line of symmetry, like the letter E, some have only rotational symmetry, like the letter S and some have both symmetries like the letter H.

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### Important Questions on Class 7 Maths Chapter 14

Give three examples of shapes with no line of symmetry.
The three examples are:
Scalene triangle
Parallelogram
किन्हीं दो आकृतियों के नाम बताइए, जिनमें रैखिक सममिति और क्रम 1 से अधिक की घूर्णन सममिति दोनों ही हों।
वर्ग और वृत्त
What other name can you give to the line of symmetry of an isosceles triangle?
The line of symmetry of an isosceles triangle is median or altitude.
What other name can you give to the line of symmetry of a circle?
The line of symmetry of a circle is diameter.
यदि किसी आकृति की दो या अधिक सममित रेखाएँ हों, तो क्या यह आवश्यक है कि उसमें क्रम 1 से अधिक की घूर्णन सममिति होगी?
हाँ, क्योंकि केंद्र से जाने वाली प्रत्येक रेखा एक सममित रेखा होती है और केंद्र से इसकी घूर्णन सममिति संभव है।
क्या हमें कोई ऐसी क्रम 1 से अधिक की घूर्णन सममिति प्राप्त हो सकती है, जिसके घूर्णन के कोण 45° हों?
यदि घूर्णन का कोण 45° हो तो, घूर्णन सममिति संभव है। क्योंकि 360° का कोण 45° से विभाज्य है।                              