CBSE students can refer to NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.3 Textbook Questions and Answers are provided by experts in order to help students secure good marks in exams.

## Class 7 Maths NCERT Solutions Chapter 14 Symmetry Ex 14.3

Question 1.

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

Solution:

- Circle
- Equilateral triangle

Question 2.

Draw, wherever possible, a rough sketch of

(i) a triangle with both line and rotational symmetries of order more than 1.

Solution:

Three lines of symmetry

Also, an equilateral triangle has rotational symmetry of order 3 as shown below:

(ii) a triangle with only line symmetry and no rotational symmetry of order more than 1.

Solution:

One line of symmetry but no rotational symmetry of order more than 1.

(iii) a quadrilateral with rotational symmetry of order more than 1 but not a line symmetry.

Solution:

No line of symmetry but have rotational symmetry of order more than 1.

(iv) a quadrilateral with line symmetry but not a rotational symmetry or order more than 1.

Solution:

One line of symmetry but no rotational symmetry of order more than 1.

Question 3.

If a figure has two or more lines of symmetry, should it have rotational symmetry of order more than 1?

Solution:

When a figure has two or more lines of symmetry, then the figure should have rotational symmetry of order more than 1.

Question 4.

Fill in the blanks:

Shape | Centre of Rotation | Order of Rotation | Angle of Rotation |

Square | |||

Rectangle | |||

Rhombus | |||

Equilateral Triangle | |||

Regular Hexagon | |||

Circle | |||

Semicircle |

Solution:

Shape | Centre of Rotation | Order of Rotation | Angle of Rotation |

Square | Yes | 4 | 90° |

Rectangle | Yes | 4 | 90° |

Rhombus | Yes | 4 | 90° |

Equilateral Triangle | Yes | 3 | 120° |

Regular Hexagon | Yes | 6 | 60° |

Circle | Yes | Infinite | Any angle |

Semicircle | Yes | 4 | 90° |

Question 5.

Name the quadrilaterals which have both line and rotational symmetry of order more than 1.

Solution:

- Square
- Rectangle

Question 6.

After rotating by 60° about a center, a figure looks exactly the same as its original position. At what other angles will this happen for the figure?

Solution:

The other angles are 120°, 180°, 240°, 300°, 360°.

Question 7.

Can we have rotational symmetry of order more than 1 whose angle of rotation is

(i) 45°?

Solution:

Yes

(ii) 17°?

Solution:

No