Answer:
see explanation
Step-by-step explanation:
(a)
Under a rotation of 180° about the origin
a point (x, y ) → (- x, - y)
the coordinates of P, Q and R are
P(1, -1 ), Q(3, - 2 ), R(3, - 4 )
Hence under the given rotation
P(1, - 1 ) → P'(- 1, 1 )
Q(3, - 2 ) → Q'(- 3, 2 )
R(3, - 4 ) → R'(- 3, 4 )
(b)
Under a reflection in the x-axis
a point (x, y ) → (x, - y ), hence
P(1, - 1 ) → P''(1, 1 )
Q(3, - 2 ) → Q''(3, 2 )
R(3, - 4 ) → R''(3, 4 )
