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

Explanation:

Step1: Find original coordinates of B

From the graph, point B is at (4,2).

Step2: Apply 270° rotation rule

The rule for rotating a point (x,y) 270° about the origin is (x,y) → (y,-x).

Step3: Calculate new coordinates

Substitute x=4, y=2 into the rule: (2, -4).

Answer:

(-2, -4)