ML Aggarwal CBSE Solutions Class 7 Math 14th Chapter Symmetry Exercise 14.2
(1) (i) Rotational Symmetry of order 2.
(ii) Rotational Symmetry of order 2.
(iii) No Rotational Symmetry.
(iv) Rotational Symmetry of order 2.
(v) No Rotational Symmetry
(vi) Rotational Symmetry of order 4
(vii) Rotational Symmetry of order 4
(viii) No Rotational symmetry
(ix) Rotational Symmetry of order 2
(x) Rotational symmetry of order 4
(xi) Rotational symmetry of order of order 6
(xii) Rotational symmetry of order 4
(2) from the given figure, (i) and (iv) i.e. rhombus and circle have rotational symmetry more than order 1.
(3) Name any two figures that have both line of symmetry and rotational symmetry.
Ans. Rhombus and Equilateral Triangle
(4) Name the quadrilaterals which have both line and rotational symmetry of order more than 1.
Ans. Rectangle, Rhombus and Square.
(5) Draw a rough sketch of:
(i) a triangle with both line and rotational symmetries of order more than 1.
(ii) a triangle with only of symmetry and no rotational symmetry of order more than 1.
(iii)a triangle with no line but rotational symmetry of order 1.
(iv) a quadrilateral with no line symmetry but rotational symmetry of order more than 1
(v) a quadrilateral with line symmetry but not rotational symmetry of order more than 1.
Solution:
(6) If a figure has two or more than two lines of symmetry, can it have rotational symmetry of order more than one?
(7) A figure looks exactly the same as its original after rotation of 60 degree. At what other angles will this figure apprear the same?
What can you say if the angle of rotation is
(i) 72 degree (ii) 45 degree (iii) 50 degree
(8) Can a figure possessing rotational symmetry have an angle of rotation of measure
(i) 180 degree (ii) 120 degree (iii) 90 degree (iv) 30 degree (v) 15 degree (vi) 17 degree
Solution: