The LINE of symmetry
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Think of the line of symmetry as a mirror (indeed try using a small hand rectangular hand mirror). a symmetry either side of a line is like a reflection of one side in the mirror.
The property is Reflection Symmetry, Line Symmetry or Mirror Symmetry
Yes- it has symmetry. The left side is the mirror image of the right side.
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.
If they are completely mirror images, then it would be Perfect Symmetry, as long as both pieces are congruent.