Can you draw a figure with radial arms that has (а) exactly 5 angles of symmetry Class 6

Can you draw a figure with radial arms that has (а) exactly 5 angles of symmetry Class 6

Question 1.

Can you draw a figure with radial arms that has Class 6

(а) exactly 5 angles of symmetry,

(b) 6 angles of symmetry? Also find the angles of symmetry in each case.

[Hint : Use 5 radial arms for the first case. What should the angle between two adjacent radial arms be?]

Solution:

(a) Yes, angle between two adjacent radial arms will be 72°.

(b) Yes, 60°, 120°, 180°, 240° 300° and 360°.

Question 2.

Consider a figure with radial arms having exactly 7 angles of symmetry. What will be its smallest angle of symmetry? Is the number of degrees a whole number in this case? If not, express it as a mixed fraction. Class 6

Solution:

Smallest angle = [latex]\frac{360^{\circ}}{7}[/latex]; No.

[latex]\frac{360^{\circ}}{7}[/latex] = 51[latex]\frac{3^{\circ}}{7}[/latex].