Answer:
The operation r(180°,0) represents a 180° rotation around the origin.
This rotation shifts our shape to the opposite quadrant (effectively translating it across two quadrants).
Thus, this can be seen as:
A reflection across the x-axis followed by a reflection across the y-axis.
Alternatively.
It can also be depicted as a reflection across the y-axis followed by a reflection across the x-axis.
There exists another reflection method, contingent upon the position of our figure.
When the figure is situated in either the first or third quadrant, reflecting over the line y = -x yields a result equivalent to the rotation.
Conversely, if the figure lies in the second or third quadrant, reflecting over the line y = x corresponds to the rotation.
We can merge these two approaches into a single expression:
A reflection over the line y = (-1)^n*x.
Here, n indicates the number identifying the quadrant containing the figure.
