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**NCERT solutions for Maths Symmetry ****Download as PDF**

## NCERT Solutions for Class 7 Maths Symmetry

**Class –VII Mathematics (Ex. 14.1)**

**Question** 1. Copy the figures with punched holes and find the axes of symmetry for the following:

(a)

**(b)**

**(c)**

**(d)**

(e)

(f)

(g)

**(h)**

(i)

(j)

(k)

**(l)**

**Answer: **Sol.

S.No. | Punched holed figures | The axes of symmetry |

(a) | (rectangle) | |

(b) | ||

(c) | ||

(d) | ||

(e) | ||

(f) | ||

(g) | ||

(h) | ||

(i) | ||

(j) | ||

(k) | ||

(l) |

**Question** 2. Given the line(s) of symmetry, find the other hole(s):

**Answer: **Sol.

S.No. | Line(s) of symmetry | Other holes on figures |

(a) | ||

(b) | ||

(c) | ||

(d) | ||

(e) |

**Question** 3. In the following figures, the mirror line (i.e., the line of symmetry) is given as a dotted line. Complete each figure performing reflection in the dotted (mirror) line. (You might perhaps place a mirror along the dotted line and look into the mirror for the image).

Are you able to recall the name of the figure you complete?

**Answer: **Sol.

S.No. | Question figures | Complete figures | Names of the figure |

(a) | Square | ||

(b) | Triangle | ||

(c) | Rhombus | ||

(d) | Circle | ||

(e) | Pentagon | ||

(f) | Octagon |

NCERT Solutions for Class 7 Maths Exercise 14.1

**Question** 4. The following figures have more than one line of symmetry. Such figures are said to have multiple lines of symmetry:

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

**Answer: **Sol.

S.No. | Problem Figures | Lines of symmetry |

(a) | ||

(b) | ||

(c) | ||

(d) | ||

(e) | ||

(f) | ||

(g) | ||

(h) |

NCERT Solutions for Class 7 Maths Exercise 14.1

**Question** 5. 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 figure be symmetric about both the diagonals?

**Answer: **Answer figures are:

Yes, there is more than one way.

Yes, this figure will be symmetric about both the diagonals.

NCERT Solutions for Class 7 Maths Exercise 14.1

**Question** 6. Copy the diagram and complete each shape to be symmetric about the mirror line(s):

**Answer: **Sol.

NCERT Solutions for Class 7 Maths Exercise 14.1

**Question** 7. State the number of lines of symmetry for the following figures:

(a) An equilateral triangle(b) An isosceles triangle(c) A scalene triangle

(d) A square(e) A rectangle(f) A rhombus

(g) A parallelogram(h) A quadrilateral(i) A regular hexagon

(j) A circle

**Answer: **Sol.

S.No. | Figure’s name | Diagram with symmetry | Number of lines |

(a) | Equilateral triangle | 3 | |

(b) | Isosceles triangle | 1 | |

(c) | Scalene triangle | 0 | |

(d) | Square | 4 | |

(e) | Rectangle | 2 | |

(f) | Rhombus | 2 | |

(g) | Parallelogram | 0 | |

(h) | Quadrilateral | 0 | |

(i) | Regular Hexagon | 6 | |

(j) | Circle | Infinite |

NCERT Solutions for Class 7 Maths Exercise 14.1

**Question** 8. What letters of the English alphabet have reflectional symmetry (i.e., symmetry related to mirror reflection) about:

- a vertical mirror
- a horizontal mirror
- both horizontal and vertical mirrors

**Answer:**(a) Vertical mirror – A, H, I, M, O, T, U, V, W, X and Y

mirror mirror

(b) Horizontal mirror – B, C, D, E, H, I, O and X

(c) Both horizontal and vertical mirror – H, I, O and X

**Question** 9. Give three examples of shapes with no line of symmetry.

**Answer: **The three examples are:

- Quadrilateral
- Scalene triangle
- Parallelogram

NCERT Solutions for Class 7 Maths Exercise 14.1

**Question** 10. What other name can you give to the line of symmetry of:

- an isosceles triangle?
- a circle?

**Answer: **(a) The line of symmetry of an isosceles triangle is median or altitude.

(b) The line of symmetry of a circle is diameter.

## NCERT Solutions for Class 7 Maths Exercise 14.1

NCERT Solutions Class 7 Maths PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 7 Maths includes text book solutions from Class 7 Maths Book . NCERT Solutions for CBSE Class 7 Maths have total 15 chapters. 7 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 7 solutions PDF and Maths ncert class 7 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.

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