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: Recall rotation rule

The rule for rotating a point $(x,y)$ 270° counter - clockwise about the origin is $(x,y)\to(y, - x)$.

Step2: Identify coordinates of point B

From the graph, assume the coordinates of point B are $(-2,4)$.

Step3: Apply rotation rule

Using the rule $(x,y)\to(y, - x)$ with $x=-2$ and $y = 4$, we get $(4,2)$.

Answer:

(4,2)