Question

What is the order of rotation of this figure?

Answer 1

The order of rotation is the number of times that you can rotate the figure and it will match up.


For example, the order of rotation of an equilateral triangle is 3 because you can rotate the triangle about it's center 3 times and it will match up with itself every time.


In this case, how many times can you rotate the given figure to make it match up with itself (keep in mind that you can't go past 360 degrees)?

Answer 2

Another example, the order of rotation of any square is 4 because you can rotate a square about the center 4 times and it will match up with itself.

Answer 3

im still kind of confused

Answer 4

think of it like a wheel

Answer 5

we can rotate this wheel, but it will change when we do so correct?

Answer 6

with me so far?

Answer 7

yes

Answer 8

alright, so we can rotate it and it will change...but...there are points where we will rotate this and it will revert back to it's original image, agree?

Answer 9

right i agree

Answer 10

how many times does it revert back to the original if we rotate it 360 degrees?

Answer 11

2 times i think

Answer 12

pretty close, but you can actually do it 4 times

Answer 13

ohh okay

Answer 14

it might be hard to see, so maybe drawing it (or printing it out) and actually physically rotating it might help

Answer 15

i will actually do that thats a good idea

Answer 16

yes makes me wish there was an interactive portion to this problem so you can actually do just that, but oh well

Answer 17

ya lol so the answwer is 4?

Answer 18

yes you got it

Answer 19

yes i understand this one much more

Answer 20

that's great :)