NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.3

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.

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:

1. Circle
2. Equilateral triangle

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 a 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:

Yes.

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:

1. Square
2. Rectangle

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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