NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.3

# NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.3

## 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.

### 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.

(ii) An isosceles triangle has one line of symmetry and no rotational symmetry.

(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:

Yes. The above figure is a rectangle. It has two lines of symmetry and also rotational symmetry of order 2.

### 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 Semi-circle

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 Semi-circle 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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