NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.3 are part of NCERT Solutions for Class 7 Maths. Here we have given NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.3.

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 7 |

Subject |
Maths |

Chapter |
Chapter 14 |

Chapter Name |
Symmetry |

Exercise |
Ex 14.3 |

Number of Questions Solved |
7 |

Category |
NCERT Solutions |

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

**Question 1.**

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

**Solution:
**Two figures that have both line symmetry and rotational symmetry are an equilateral triangle and a circle.

**Question 2.**

Draw, wherever possible, a rough sketch of

**(i)** a triangle with both line and rotational symmetry 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 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.

**Solution:**

**(i)** An equilateral triangle has 3 lines of symmetry and rotational symmetry of order 3.

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

**(iii)** A parallelogram has no line of symmetry but has a rotational symmetry of order 2.

**(iv)** An isosceles trapezium has 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:

**Solution:
**

**Question 5.**

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

**Solution:
**The name of quadrilaterals having both line and rotational symmetry is square.

**Question 6.**

After rotating by 60° about a centre, 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°, and 360°.

**Question 7.**

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

(i) 45°?

(ii) 17°?

**Solution:**

**(i)** Yes

**(ii)** No

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