Question

A triangle has vertices at R(1, 1), S(–2, –4), and T(–3, –3). The triangle is transformed according to the rule R0, 270°. What are the coordinates of S'?

(–4, 2)
(–2, 4)
(2, 4)
(4, –2)

Answer 1

Rotation 270° about the origin maps (x, y) to (y, −x). For S(−2, −4):

S' = (−4, −(−2)) = (−4, 2).

So the correct choice is (−4, 2).