Question

R 0, -180 is the same rotation as R 0, 180


True
False

Answer 1

@mathstudent55

Answer 2

\(R_{180}: (x,y)->(-x,-y)\)
\(R_{-90}:(x,y)->(y,-x)\)
so
\(R_{-180}=R_{-90}\circ R_{-90}:(x,y)->(y,-x)\circ (y,-x)=(-x,-y)\)
or
\(R_{-180}:(x,y)->(-x,-y)\)
From the above you can conclude the validity of the given statement.