Exercise 14.2
Question 1
(i) Rational symmetry of order 2
(ii) Rational 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 6
(xii) Rotational symmetry of order 4
Question 2
(i) and (iv) Have rotational symmetry of order greater than 1.
Question 3
Rhombus and equilateral triangle have both line of symmetry and rotational symmetry
Question 4
Rectangle, Rhombus and square have both line of symmetry and rotational symmetry of order more than 1
Question 5
(i) (diagram to be added)
equilateral triangle
(ii) (diagram to be added)
Isosceles triangle
(iii) (diagram to be added)
Scalene triangle
(iv) (diagram to be added)
Parallelogram
(v)(diagram to be added)
Isosceles trapezium
Question 6
Yes, the figure having more than two lines of symmetry it will have rotational symmetry of order more than 1
Ex: Rectangle, square
Question 7
$120^{\circ}, 180^{\circ}, 240^{\circ}, 300^{\circ}, 360^{\circ}$
(i) $144^{\circ},216^{\circ},288^{\circ}$ and $360^{\circ}$
(ii) $90^{\circ}, 135^{\circ}, 180^{\circ}, 225^{\circ}, 270^{\circ}, 315^{\circ}$ and $360^{\circ}$
(iii) Angle of rotation of $50^{\circ}$ is not possible
Question 8
(i) Yes, i.e 180^{\circ}$ and $360^{\circ}$
(ii) Yes , i.e 120^{\circ}$,240^{\circ}$ and $360^{\circ}$
(iii) Yes, i.e $90^{\circ}$,180^{\circ}$,270^{\circ}$$ and $360^{\circ}$
(iv)Yes, i.e $30^{\circ},60^{\circ},90^{\circ},120^{\circ},150^{\circ},180^{\circ},210^{\circ},240^{\circ},270^{\circ},300^{\circ}, 330^{\circ}, 360^{\circ}$
(v)Yes, i.e $15, 30, 45,60,75,90,105,120,135,150,165,180,195,210,225,240,255,270,285,300,315,330,345,360^{\circ}$
(vi) No,
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