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°.