(a) Rotation of 180 about the origin
when we rotate by 180 degree about the origin
(x,y) becomes (-x,-y)
The vertices of triangle PQR are P (1,-1), Q(3,-2) and R(3,-4)
P (1,-1) becomes P'(-1,1)
Q(3,-2) becomes Q'(-3,2)
R(3,-4) becomes R'(-3,4)
The graph of P'Q'R' is attached below
(b) reflection about x axis
when we reflect about x axis , (x,y) becomes (x,-y)
The vertices of triangle PQR are P (1,-1), Q(3,-2) and R(3,-4)
P (1,-1) becomes P''(1,1)
Q(3,-2) becomes Q''(3,2)
R(3,-4) becomes R''(3,4)
The graph is attached below
