No. You can reflect any shape about a line but if the resulting image is not the same as the original, that line is not a line of symmetry.
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There are 4 types of symmetry, reflection, transition, glide reflection, and rotation. They all basically mean the same thing, except they are figured out differently.
Oh, dude, line symmetry is when you can fold a shape in half and both sides match up perfectly, like a beautiful butterfly. Point symmetry is basically when a shape looks the same even after you give it a little spin, like a merry-go-round that never gets dizzy. So, like, line symmetry is all about folding, and point symmetry is more about twirling.
All regular shapes have a line of symmetry. But you can get rid of its line of symmetry by making it irregular (so the angles aren't the same).
No, the centre of symmetry is a point usually somewhere in the middle of an object around which things like rotational or reflection occurs. Inversion symmetry is a sort of symmetry itself and not a point like the centre.
A figure that has rotational symmetry but not line symmetry is a figure that can be rotated by a certain angle and still look the same, but cannot be reflected across a line to create a mirror image of itself. An example of such a figure is a regular pentagon, which has rotational symmetry of 72 degrees but does not have any lines of symmetry. This means that if you rotate a regular pentagon by 72 degrees, it will look the same, but you cannot reflect it across any line to create a mirror image.