Question

Some one help me i cant get it

Answer 1

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 )