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
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
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.