Answer:
r(180°,0) is a rotation of 180° degrees over the origin.
Notice that this rotation moves our figure to the opposite quadrant (so a translation of two quadrants).
Then this is equivalent to:
A reflection over the x-axis followed by a reflection over the y-axis.
Or.
A reflection over the y-axis followed by a reflection over the x-axis.
There is another possible reflection, but it depends on where is our figure.
If the figure is in the first or third quadrant, a reflection over the line y = -x is equivalent to the rotation.
If the figure is in the second or third quadrant, then the reflection over the line y = x is equivalent to the rotation.
We can combine those two and write:
A reflection over the line y = (-1)^n*x.
Where n is the number associated with the quadrant where the figure is in.
