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: Identify original coordinates of B

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

Step2: Apply 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), substituting x = - 2 and y = 4 into the rule: The new x - coordinate is 4 and the new y - coordinate is -(-2)=2.

Answer:

(4, 2)