### NCERT Solutions for Class 7 Maths Exercise – 14 .1

__NCERT Solutions for Class 7 Maths Exercise – 14 . 1 Chapter – 14 Symmetry__

__NCERT Solutions for Class 7 Maths Exercise – 14 . 1 Chapter – 14 Symmetry__

**Q1. Copy the figures with punched holes and find the axes of symmetry for the following:**

**(a)**

**Solution:-**

A figure has a line of symmetry, If there is a line about which the figure may be folded so that the two parts of the figure will coincide.

**(b) **

**Solution:-**

A figure has a line of symmetry , If there is a line about which the figure may be folded so that the two parts of the figure will coincide.

** **

**( c ) **

** **

**Solution:-**

A figure has a line of symmetry If there is

** **

**(d) **

**Solution:-**

A figure has a line of symmetry , If there is a line about which the figure may be folded so that the two parts of the figure will coincide.

**( e ) **

** **

**Solution:-**

A figure has a line of symmetry, If there is a line about which the figure may be folded so that the two parts of the figure will coincide.

** **

**(f) **

** **

**Solution:-**

A figure has a line of symmetry , if there is a line about which the figure may be folded so that the two parts of the figure will coincide.

** **

**(g) **

** **

**Solution:-**

A figure has a line of symmetry , if there is a line about which the figure may be folded so that the two parts of the figures will coincide.

** **

**(h)**

** **

**Solution:-**

A figure has a line of symmetry , if there is a line about which the figure may be folded so that the two parts of the figures will coincide.

** **

**(i)**

** **

**Solution:-**

A figure has a line of symmetry, If there is a line about which the figure may be folded so that the two parts of the figures will coincide.

** **

**(j)**

**Solution:-**

A figure has a line of symmetry , if there is a line about which the figure may be folded so that the two parts of the figure will coincide.

** **

**(k) **

** **

**Solution:-**

A figure ha s a line of symmetry , if there is a line about which the figure may be folded as that the two parts of the figures will coincide.

** **

**(l) **

**Solution:-**

A figure has a line of symmetry , if there is a line about which the figures may be folded so that the two parts of the figures will coincide.

**Q2. Given the line(s) of symmetry , find the other holes(s):**

**(a)**

**Solution:-**

A figure has a line of symmetry , if there is a line about which the figure may be folded so that the two parts of the figure will coincide.

So, other hole is shown in the figure below.

**(b)**

** **

**Solution:-**

A figure has a line of symmetry , if there is a line about which the figure may be folded so that the two parts of the figures will coincide.

So, other hole is shown in the figure below.

**( c )**

** **

**Solution:-**

A figure has a line of symmetry , if there is a line about which the figure may be folded so that the two parts of figures will coincide.

So, other hole is shown in the figure below.

** **

**(d) **

** **

**Solution:-**

So, other hole is shown in the figure below.

** **

**( e ) **

** **

** **

**Solution:-**

A figure has a line of symmetry , If there is a line about which the figure may be folded so that the two parts of the figures will coincide.

So, other hole is shown in the figure below.

** **

**Q3. In the following figures, the mirror line is given as a dotted line. Complete each figures performing reflection in the dotted line. . Are you able to recall the name of the figure you complete?**

**(a)**

**Solution:-**

The concept of line of symmetry is closely related to mirror reflection. A shape has line symmetry when one half of it is the mirror image of the other half. A mirror line, thus helps, visualise a line of symmetry .

While dealing with mirror reflection, care is needed to note down the the left – right changes in the orientation.

Name of the figure is square.

** **

**(b) **

**Solution:-**

The concept of line of symmetry is closely related to the mirror reflection. A shape has line symmetry when one half of it is the mirror image of the other half. A mirror line, thus helps to visualise a line of symmetry.

While dealing with mirror reflection, care is needed to note down the left – right chenges in the orientation.

Name of the figures is triangle.

**( c )**

**Solution:-**

The concept of line of symmetry is closely related to the mirror reflection. A shape has line symmetry when one half of it is the mirror image of the other half. A mirror line, thus helps to visualise a line of symmetry .

While dealing with mirror reflection, care is needed to note down the left – right changes in the orientation.

Name of the figures is rhombus.

**(d) **

**Solution:-**

The concept of line of symmetry is closely related to mirror reflection. A shape has line symmetry when one half of it is the mirror image of the other half. A mirror line, thus helps to visualise a line of symmetry .

While dealing with mirror reflection care is needed to note down the left – right changes in the orientation.

Name of the figures is circle.

**( e ) **

**Solution:-**

The concept of line of symmetry is closely related to mirror reflection. A shape has line symmetry when one half of it is the mirror image of the other half. A mirror line, thus helps to visualise a line of symmetry.

While dealing with mirror reflection care is needed to note down the left – right change sin the orientation.

Name of the figure is pentagon.

**( f ) **

**Solution:-**

The concept of line of symmetry is closely related to the mirror reflection. A shape has line symmetry when one half of it is the mirror image of the other half. A mirror line, thus helps to visualise a line of symmetry.

Name of the figure is octagon.

**Q4. The following figures have more than one line of symmetry . Such figures are said to have multiples lines of symmetry.**

**Identify multiples lines of symmetry , if any , in each of the following figures:**

**(a)**

**Solution:-**

Figures given has 3 lines of symmetry.

So, it has multiple lines of symmetry

** **

** **

** **

** **

**(b)**

**Solution:-**

Figure given has 2 lines of symmetry.

So, it has multiple lines of symmetry.

** **

**( c ) **

**Solution:-**

Figure given has 3 lines of symmetry .

So, it has multiple lines of symmetry.

** **

**(d) **

**Solution:-**

Figure given has 2 lines of symmetry

So, it has multiple lines of symmetry.

** **

**( e ) **

**Solution:-**

Figure given has 4 lines of symmetry.

So, it has multiple lines of symmetry.

**(f)**

**Solution:-**

Figure given has only 1 line of symmetry.

** **

** **

** **

**(g)**

**Solution:- **

Figure given has 4 lines of symmetry.

So, it has multiple lines of symmetry.

**(h) **

**Solution:-**

Figure given has 6 lines of symmetry.

So, it has multiple lines of symmetry.

**Q5. Copy the figure given here.**

**Take any one diagonal as a line of symmetry and shade a few more squares to make the figure symmetric about a diagonal. Is there more than one way to do that ? Will the figures be symmetric about both the diagonals ?**

**Solution:-**

By observing the above figures,

Yes, the figures will be symmetrical about both diagonals.

By observing the above figures ,

Yes, the figure can be made symmetrical by more than one way.

**Q6. Copy the diagram and complete each shape to be symmetric about the mirror line(s):**

**(a)**

**Solution:-**

The concept of line of symmetry is closely related to mirror reflection. A shape has line symmetry when one half of it is the mirror image of the other half. A mirror line, thus helps to visalise a line of symmetry.

While dealing with mirror reflection , care is needed to note down the left – right changes in the orientation.

** **

**(b) **

**Solution:-**

The concept of line of symmetry is closely related to mirror reflection. A shape has line symmetry when one half of it is the mirror image of the other half. A mirror line, thus helps to visualise a line of symmetry.

While dealing with mirror reflection , care is needed to note down the left – right changes in the orientation

** **

**( c )**

**Solution:-**

The concept of line of symmetry is closely related to the mirror reflection. A shape has line symmetry when one half of it is the mirror image of the other half. A mirror line, thus helps to visualise a line of symmetry .

While dealing with mirror reflection, care is needed to note down in the left – right changes in the orientation.

** **

**Q7. State the number of line of symmetry for the following figures:**

**An equilateral triangle**

**Solution:-**

A figure has a line of symmetry , if there is a line about which the figure may be folded so that the two partsof the figures will coincide.

In equilateral triangle has 3 lines of symmetry is shown in the figure below,

**An isosceles triangle**

**Solution:-**

A figure has a line of symmetry if there is line about which the figure may be folded so that the two parts of the figures will coincide.

An isosceles triangle has 1 lines of symmetry is shown in the figure below,

**( c ) A scalene triangle**

**Solution:-**

A scalene triangle has no line of symmetry is shown in the figure below,

**( d ) A square**

**Solution:-**

A square has 4 lines of symmetry is shown in the figure below,

**( e ) A rectangle**

**Solution:-**

A figure has a line of symmetry if there is a line about which the figure may be folded so that the two parts of the figures will coincide.

A rectangle has 2 lines of symmetry is shown in the figure below,

**(f) A rhombus**

**Solution:-**

A figure has a line of symmetry if there is a line about which the figure may be folded so that the two parts of the figures will coincide.

A rhombus has 2 lines of symmetry is shown in the figure below,

**(g) A parallelogram**

**Solution:-**

** **

A parallelogram has no line of symmetry is shown in the figure below,

**(h) A quadrilateral**

**Solution:-**

A figures has a line of symmetry If there is a line about which the figure may be folded so that the two parts of the figures will coincide.

A quadrilateral has no line of symmetry is shown in the figure below,

**A regular hexagon**

**Solution:-**

A figure has a line of symmetry if there is a line about which the figure may be folded so that the two parts of the figure will coincide.

A regular hexagon has 6 lines of symmetry is shown in the figure below,

**(j) A circle**

**Solution:-**

A circle has infinite lines of symmetry.

** Q8. What letters of the english alphabet have reflectional symmetry about. **

**A vertical mirror (b) a horizontal mirror**

**( c ) both horizontal and vertical mirrors**

**Solution:-**

- A vertical mirror

The English alphabet have reflection symmetry about a vertical mirror are , A , H , I , M , O ,T,U,V,X,Y,W

- A horizontal mirror

The English alphabet have reflection symmetry about a horizontal mirror are , B,C,D,E,H,I,K,O,X

**( C )** Both horizontal and verticals mirrors

The English Alphabet have reflection symmetry about both horizontal and vertical mirrors are H,I,O,X

**Q9. Give three examples of shapes with no line of symmetry.**

**Solution:-**

A shape has no line of symmetry if there is no line about which the figure may be folded and also parts of the figure will not coincide.

A scalene triangle a quadrilateral and a parallelogram

**Q10. What other name you can give to the line of symmetry of (a) an isosceles triangle ?**

**Solution:-**

** **

The other name to the line of symmetry of an isosceles triangle is median or altitude.

**A Circle ?**

**Solution:-**

The other name to the line of symmetry of a circle is diameter.

NCERT solutions for class 7 science chapter 11

NCERT Solutions for Class 7 Maths Exercise – 14 . 1 Chapter – 14 Symmetry Q1. Copy the figures with punched…

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