Solution-
1- When rotating a figure 180 degrees around the origin (As it does not matter whether you move clockwise or counter-clockwise), we apply the rule (x, y) → (-x, -y).
Co-ordinates of the vertices,
P = (1, -1)
Q = (3, -2)
R = (3, -4)
And then calculating the co-ordinates of P', Q', R'
P' = (-1, 1)
Q' = (-3, 2)
R' = (-3, 4)
2- When reflecting a figure across X-axis, we apply the rule (x, y) → (x, -y).
Co-ordinates of the vertices,
P' = (-1, 1)
Q' = (-3, 2)
R' = (-3, 4)
And then calculating the co-ordinates of P'', Q'', R''
P'' = (-1, -1)
Q'' = (-3, -2)
R'' = (-3, -4)
