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 the part of NCERT Solutions for Class 7
Maths. Here you can find the NCERT Solutions for Class 7 Maths Chapter 14 Symmetry
Ex 14.3.
 NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1
 NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.2
 NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.3
Ex 14.1 Class 7 Maths Question 1.
Name any two figures that have both line symmetry and rotational symmetry.Solution:
An equilateral triangle and a square both have line
symmetry and rotational symmetry.
Ex 14.3 Class 7 Maths Question 2.
Draw, wherever possible, a rough sketch of(i) a triangle with both line and rotational symmetries 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.
(iii) A parallelogram has rotational symmetry of order 2 and no line of symmetry.
(iv) An isosceles trapezium has one line of symmetry
and no rotational symmetry.
Ex 14.3 Class 7 Maths Question 3.
If a figure has two or more lines of symmetry, should it have rotational symmetry of order more than 1?Solution:
Ex 14.3 Class 7 Maths 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 
Point of intersection of
diagonals 
4 
90° 
Rectangle 
Point of intersection of
diagonals 
2 
180° 
Rhombus 
Point of intersection of
diagonals 
2 
180° 
Equilateral triangle 
Point of intersection of
medians 
3 
120° 
Regular hexagon 
Point of intersection of
diagonals 
6 
60° 
Circle 
Centre 
Infinite 
Every angle 
Semicircle 
Centre 
1 
360° 
Ex 14.3 Class 7 Maths Question 5.
Name the quadrilaterals which have both line and rotational symmetry of order more than 1.Solution:
A square, a
rectangle and a rhombus are such quadrilaterals which have both line and
rotational symmetry of order more than 1.
Ex 14.3 Class 7 Maths 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:
Since the
figure looks exactly the same as its original position, when rotated through 60°
about its centre, the angle of rotation is 60°. If the figure is rotated
through the angles 120°, 180°, 240°, 300° and 360°, it looks exactly the same.
Ex 14.3 Class 7 Maths 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;
because 360° is divisible by 45°.
(ii) No; because 360° is not divisible by 17°.
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