NCERT Solutions for Class 7 Maths Exercise – 14.3
NCERT Solution for Class 7th Maths Exercise – 14.3 Chapter – 14 Symmetry
Q1. Name any two figures that have both line symmetry and rotational symmetry.
Solution:-
Equilateral triangle and circle.
Q2. Draw wherever possible , a rough sketch of
- A triangle with both line and rotational symmetries of order more than 1.
Solution:-
A triangle with both line and rotational symmetries of order more than 1 is an equilateral triangle.
Line Symmetry
Rotational Symmetry
- A triangle with only line symmetry and no rotational symmetry of order more than 1 .
Solution:-
A triangle with only line symmetry and no rotational symmetry of order more than 1. is
- A quadrilateral with a rotational symmetry of order more than 1 but not a line symmetry
Solution:-
A triangle with only time symmetry and no rational symmetry of order more than 1 is isosceles triangles .
III. A Quadrilateral with a rational symmetry of order more than 1 but not a line symmetry .
Solution:-
A quadrilateral with a rotational symmetry of order more than 1. but not a line symmetry is not possible to draw. Because , a quadrilateral with a line symmetry may have rotational symmetry of order one but not more than one.
- A quadrilateral with line symmetry but not a rotational symmetry of order more than 1.
Solution:-
A quadrilateral with line symmetry but not a rotational symmetry of order more than 1 is rhombus.
Q3. If a figure has two or more lines of symmetry should it have rotational symmetry of order more than 1?
Solution:-
Yes. If a figure has two or more lines of symmetry then it will have rotational symmetry of order more than 1.
Q4. Fill in the blanks:
Shape | Centre of rotation | Order of rotation | Angle of rotation |
Square | |||
Rectangle | |||
Rhombus | |||
Equilateral triangle | |||
Regular Hexagon | |||
Circle | |||
Semi – Circle |
Solution:-
Shape | Centre of rotation | Order of rotation | Angle of rotation |
Square | Intersecting point of diagonals | 4 | 90^{o} |
Rectangle | Intersecting point of diagonal | 2 | 180^{o} |
rhombus | Intersecting point of diagonals | 2 | 180^{o} |
Equilateral triangle | Intersecting point of medians | 3 | 120^{o} |
Regular hexagon | Intersecting point of diagonals | 6 | 60^{o} |
circle | centre | Infinite | Every angle |
Semi-circle | Mid – point of diameter | 1 | 360^{o} |
q-5 Name the quadrilaterals which have both line and rotational symmetry of order more than 1 .
Solution:-
The quadrilateral which have both line and rational symmetry of order more than 1 is square .
Line symmetry:
Rotational symmetry :
Q-6 After rotating by 60^{o} 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^{o}, 180^{o} , 240^{o}, 300^{o}, 360^{o}
So, the figure is said to have rational symmetry about same angles as the first one . hence , the figure will look exactly the same when rotated by 60^{o} from the last position .
Q-7 Can we have a rotational symmetry of order more than 1 whose angle of rotation is :-
- 45^{o}
Solution:-
Yes . we can have a rotational symmetry of order more than 1 whose angle of rotation is 45^{o} .
- 17^{o }
Solution:-
No. we cannot have a rotational symmetry of order more than 1 whose angle of rotation is 17^{o}.
NCERT Solutions for class 7 Science Chapter –
NCERT Solution for Class 7th Maths Exercise – 14.3 Chapter – 14 Symmetry Q1. Name any two figures that…
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