If the order of symmetry of the first image is ‘A’ and of the second image is ‘B’, then the value of A + B= ___
If the order of symmetry of the first image is ‘A’ and of the second image is ‘B’, then the value of A + B=
A wind mill has a rotational symmetry of order 3. You must have noticed that after the third rotation, it looks exactly as it looked at the start. We get a total of three instances where the wind mill looked exactly like as the start.
The key-point is the final position of any object. After 360∘ rotation, it will always look like the initial object. So, every object will have rotational symmetry of order 1.
Let us move on to the question now.
In figure 1, we have two instances where it looks like the starting position, after 180∘ and 360∘. So, the order is 2 which will be the value of ‘A’.
In figure 2, the order is 1 because it only repeats itself after 360∘ rotation. So, B = 1.
Hence, A + B = 2 + 1 = 3
A wind mill has a rotational symmetry of order 3. You must have noticed that after the third rotation, it looks exactly as it looked at the start. We get a total of three instances where the wind mill looked exactly like as the start.
The key-point is the final position of any object. After 360∘ rotation, it will always look like the initial object. So, every object will have rotational symmetry of order 1.
Let us move on to the question now.
In figure 1, we have two instances where it looks like the starting position, after 180∘ and 360∘. So, the order is 2 which will be the value of ‘A’.
In figure 2, the order is 1 because it only repeats itself after 360∘ rotation. So, B = 1.
Hence, A + B = 2 + 1 = 3
