Question

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? (-2, -4) (-4, -2) (4, 2) (2, 4)

Explanation:

Step1: Identify original B coordinates

From graph, B is (4, -2).

Step2: Apply 270° counterclockwise rotation rule

Rule: (x,y) → (y, -x).

Step3: Calculate rotated coordinates

(4, -2) → (-2, -4).

Answer:

(-2, -4)