triangle abc is shown on the graph. what are the coordinates of the image of point b after the triangle is…

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)

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)

Answer

Explanation:

Step1: Determine the original coordinates of point B

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

Step2: Apply the rotation rule for (270^{\circ}) clockwise about the origin

The rule for a (270^{\circ}) clockwise rotation about the origin ((x,y)\to(y, -x)). Substitute (x=-2) and (y = 4) into the rule: When (x=-2) and (y = 4), the new (x)-coordinate is (y = 4) and the new (y)-coordinate is (-x=-(-2)=2).

Answer:

((4,2))