Question

On a coordinate plane, a triangle has points A (negative 5, 3), B (negative 2, 4), C (negative 2, 2).
Triangle ABC is shown on the graph. What are the coordinates of the image of point B after the triangle is rotated 270° about the origin?

(4, 2)
(2, 4)
(–4, –2)
(–2, –4)

Answer 1

(4, 2)

Rotation 270° about the origin maps (x, y) to (y, −x). For B(−2, 4) this gives (4, 2).