Answer:
A reflection is an example of a transformation that takes a shape (called the pre-image) and flips it across a line (called the line of reflection) to create a new shape (called the image).
The most common lines of reflection are the x-axis, the y-axis, or the lines y=x or y=−x.
The x-axis,
Reflection across the x-axis: [tex]T_{x-axis}[/tex] (3,2)→(3,−2)
i.e. for reflection across the x-axis the x-coordinate remains same and y-coordinate change to negative sign.
The y-axis
Reflection across the y-axis: [tex]T_{y-axis}[/tex] (3,2)→(-3,2)
i.e. for reflection across the y-axis the y-coordinate remains same and x-coordinate change to negative sign.
The line y=x
Reflection across the line y=x: [tex]T_{y=x}[/tex] (3,2)→(2,3)
For reflection across y=x the x and y value get interchanged.
The line y=−x.
Reflection across the line y=−x: [tex]T_{y=-x}[/tex] (3,2)→(−2,−3)
For reflection across y=-x the x and y value get interchanged with opposite signs.
