Symmetry and Reflection
The linear symmetry is a symmetry in which a line divides a given figure into two identical halves. The line is called the axis of symmetry or line of symmetry.
A figure is said to have point symmetry about a point called the centre of the figure, if for every point on the figure, there is another point directly opposite to it on the other side of centre.
The concept of line symmetry is closely related to mirror reflection.
When a point is being reflected on a line then, the line acts as a mirror and the image of the point is obtained at the same distance on the opposite side of the line. This line is then called the axis of symmetry or line of reflection.
When a point is reflected in x-axis, then its x-coordinate remain same and sign of y-coordinate changes.
When a point is reflected in y-axis, then its y-coordinate remain same and sign of x-coordinate changes.
A point which remains unaltered under a transformation is called an invariant point.
Reflection is a transformation in which the figure is the mirror image of the other.