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 the original coordinates of point B

The original coordinates of point B are (- 2,4).

Step2: Apply the 270 - degree rotation rule

The rule for rotating a point (x,y) 270° counter - clockwise about the origin is (x,y)→(y, - x).
For point B(-2,4), when we apply the rule: x=-2 and y = 4. The new x - coordinate is y = 4 and the new y - coordinate is -x=2.

Answer:

(4,2)