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Math and Arithmetic

How many axes of symmetry does a key have?


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October 09, 2008 9:13AM

To figure out how many axis of symmetry an object has see how many times you can superimpose it on it's mirror image by rotating or fliping it. (Rotating through 360 degrees doesn't count) Look at the key in the mirror and try to imagine how many ways you can flip or rotate the key so that it looks exactly the same as what you see in the mirror.You have to see exactly the same thing in the mirror with notches pointing the same direction. For most keys the number is zero. Older car keys with identical notches on both sides have one. A way to think about it is how many ways will the key fit in the lock? Usually only one way but for a car key two but my car key has buttons on one side and not on the other so it has no axis either.