1. ## point symmetry

Will a star have point symmetry? It looks like it does, but I was told that if I spin it 180 degrees and it looks the same it does, When I rotate it 180 degrees it does not look the same but about 70 degress it is the same. So how do I determine? Thanks

2. It seems that you are talking about a 5-branch star
When you rotate it 360/5 = 72 degrees it looks the same
But when you rotate it 180 degrees it does not look the same, it is reversed

3. Originally Posted by running-gag
It seems that you are talking about a 5-branch star
When you rotate it 360/5 = 72 degrees it looks the same
But when you rotate it 180 degrees it does not look the same, it is reversed
Yes it is a 5 point star it has rotational synmmetry at intervals of 72 degrees. I understand that. Will this 5-point star have point symmetry? this is what I am confused with, will an object only have point symmetry if turn the object up side down and it looks the same only 180 degrees and nothing else

4. Originally Posted by algebraisabeast
Yes it is a 5 point star it has rotational synmmetry at intervals of 72 degrees. I understand that. Will this 5-point star have point symmetry? this is what I am confused with, will an object only have point symmetry if turn the object up side down and it looks the same only 180 degrees and nothing else
Under the definition that point symmetry is rotational symmetry, but only in 180-degree increments, then you were correct that the five-pointed "star" will not have this symmetry, since it is visibly "different" when you've done a half-rotation.

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### point symmetry of star

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