NCERT Solutions for Class 7 Maths Exercise 14.3

NCERT Solutions for Class 7 Maths Exercise 14.3 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 7 Maths chapter wise NCERT solution for Maths Book all the chapters can be downloaded from our website and myCBSEguide mobile app for free.

NCERT solutions for Maths Symmetry Download as PDF

NCERT Solutions for Class 7 Maths Symmetry

Class –VII Mathematics(Ex. 14.3)

Question 1. Name any two figures that have both line symmetry and rotational symmetry.

Answer: Circle and Square.

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NCERT Solutions for Class 7 Maths Exercise 14.3

Question 2. Draw, wherever possible, a rough sketch of:

1. a triangle with both line and rotational symmetries of order more than 1.
2. a triangle with only line symmetry and no rotational symmetry of order more than 1.
3. a quadrilateral with a rotational symmetry of order more than 1 but not a line symmetry.
4. a quadrilateral with line symmetry but not a rotational symmetry of order more than 1.

1. Answer: (i) An equilateral triangle has both line and rotational symmetries of order more than 1.

Line symmetry:

Rotational symmetry:

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

Line symmetry:

Rotational symmetry:

(iii)It is not possible because order of rotational symmetry is more than 1 of a figure, most acertain the line of symmetry.

(iv)A trapezium which has equal non-parallel sides, a quadrilateral with line symmetry but not a rotational symmetry of order more than 1.

Line symmetry:

Rotational symmetry:

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NCERT Solutions for Class 7 Maths Exercise 14.3

Question 3. In a figure has two or more lines of symmetry, should it have rotational symmetry of order more than 1?

Answer: Yes, because every line through the centre forms a line of symmetry and it has rotational symmetry around the centre for every angle.

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NCERT Solutions for Class 7 Maths Exercise 14.3

Question 4. Fill in the blanks:

Shape	Centre of Rotation	Order of Rotation	Angle of Rotation
Square
Rectangle
Rhombus
Equilateral triangle
Regular hexagon
Circle
Semi-circle

Answer: Sol.

Shape	Centre of Rotation	Order of Rotation	Angle of Rotation
Square	Intersecting point of diagonals.	4	{tex}{90^ \circ }{/tex}
Rectangle	Intersecting point of diagonals.	2	{tex}{180^ \circ }{/tex}
Rhombus	Intersecting point of diagonals.	2	{tex}{180^ \circ }{/tex}
Equilateral triangle	Intersecting point of medians.	3	{tex}{120^ \circ }{/tex}
Regular hexagon	Intersecting point of diagonals.	6	{tex}{60^ \circ }{/tex}
Circle	Centre	infinite	At every point
Semi-circle	Mid-point of diameter	1	{tex}{360^ \circ }{/tex}

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NCERT Solutions for Class 7 Maths Exercise 14.3

Question 5. Name the quadrilateral which has both line and rotational symmetry of order more than 1.

Answer: Square has both line and rotational symmetry of order more than 1.

Line symmetry:

Rotational symmetry:

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NCERT Solutions for Class 7 Maths Exercise 14.3

Question 6. After rotating by {tex}{60^ \circ }{/tex} about a centre, a figure looks exactly the same as its original position. At what other angles will this happen for the figure?

Answer: Other angles will be {tex}120^\circ ,180^\circ ,240^\circ ,300^\circ ,360^\circ {/tex}.

For rotation:It will rotate six times.

For rotation:It will rotate three times.

For rotation:It will rotate two times.

For rotation:It will rotate one time.

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NCERT Solutions for Class 7 Maths Exercise 14.3

Question 7. Can we have a rotational symmetry of order more than 1 whose angle of rotation is:

(i) {tex}{45^ \circ }{/tex}(ii) {tex}{17^ \circ }{/tex} ?

Answer: (i) If the angle of rotation is {tex}{45^ \circ },{/tex} then symmetry of order is possible and would be 8 rotations.

(ii) If the angle of rotational is {tex}{17^ \circ },{/tex} then symmetry of order is not possible because {tex}{360^ \circ }{/tex} is not complete divided by {tex}{17^ \circ }.{/tex}

NCERT Solutions for Class 7 Maths Exercise 14.3

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