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: Identify original coordinates of point B

The coordinates of point B on the graph are (-4, 2).

Step2: Apply 270 - degree rotation rule

The rule for rotating a point (x, y) 270 degrees counter - clockwise about the origin is (y, -x). Here x=-4 and y = 2. Substituting x and y into the rule, we get (2, -(-4))=(2, 4).

Answer:

B. (2, 4)