In each case, the angles are the multiples of the smallest angle. You may wonder and ask Class 6

In each case, the angles are the multiples of the smallest angle. You may wonder and ask Class 6

Question 1.

In each case, the angles are the multiples of the smallest angle. You may wonder and ask if this will always happen. What do you think? Class 6

Solution:

Yes, it will always happen, provided we are able to find that smallest angle. For example, in the case of a circle, we will not be able to find the smallest angle.

Question 2.

1. Every figure will have 360 degrees as an angle of symmetry. Class 6
2. If the smallest angle of symmetry of a figure is a natural number in degrees, then it is a factor of 360.

Solution:

1. True
2. True

Question 3.

Colour the sectors of the circle below so that the figure has (i) 3 angles of symmetry, (ii) 4 angles of symmetry, (iii) what are the possible numbers of angles of symmetry you can obtain by colouring the sectors in different ways? Class 6

Solution:

(iii) By colouring the sectors in different ways, we can obtain 2, 3, 4 or 6 angles of symmetry.