# NCERT Solutions for Class 7 Maths Exercise 14.3

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NCERT solutions for Maths Symmetry

## NCERT Solutions for Class 7 Maths Symmetry

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

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:

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.

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

 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}

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:

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.

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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### 3 thoughts on “NCERT Solutions for Class 7 Maths Exercise 14.3”

1. Centre of rotation should be in number

2. Great it is true

3. It is true