Students can Download Class 7 Maths Chapter 14 Symmetry Ex 14.3 Questions and Answers, Notes Pdf, KSEEB Solutions for Class 7 Maths helps you to revise the complete Karnataka State Board Syllabus and to clear all their doubts, score well in final exams.

## Karnataka State Syllabus Class 7 Maths Chapter 14 Symmetry Ex 14.3

Question 1.

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

Solution:

Circle and square.

Question 2.

Draw, wherever possible, a rough sketch of

(i) a triangle with both line and rotational symmetry of order more than 1.

Solution:

An equilateral triangle has 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.

Solution:

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

(iii) a quadrilateral with rotational symmetry of order more than 1 but not a line symmetry.

Solution:

A quadrilateral with rotational symmetry of order more than 1 but not a line symmetry is not possible because the order of rotational symmetry is more than 1.

(iv) a quadrilateral with line symmetry but not a rotational symmetry of order more than 1.

Solution:

A trapezium with its non-parallel sides equal (isosceles trapezium).

Question 3.

If a figure has two or more lines of symmetry, should it have rotational symmetry of order more than 1?

Solution:

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

Question 4.

Fill in the blanks:

Solution:

Question 5.

Name the quadrilaterals which have both line and rotational symmetry of order more than 1

Solution:

A square has 4 lines of symmetry and rotational symmetry of order 4.

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:

120°, 180°, 240°, 300°, 360°

Question 7.

Can we have a rotational symmetry of order more than 1 whose angle of rotation is

(i) 45°?

(ii) 17°?

Solution:

(i) 45° – Yes, the symmetry of order is possible and it would be 8 rotations.

(ii) 17° – No, because 360° is not divisible by 17°.